math.cube on complex, imaginary part

Time bar (total: 8.6s)

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

sample2.3s (27.1%)

Results
714.0ms4596×256valid
1.1s3660×256infinite
Precisions
Click to see histograms. Total time spent on operations: 1.0s
Operation ival-mult, time spent: 865.0ms, 85.0% of total-time
Operation ival-add, time spent: 91.0ms, 9.0% of total-time
Operation ival-sub, time spent: 58.0ms, 6.0% of total-time
Operation const, time spent: 8.0ms, 1.0% of total-time
Bogosity

preprocess330.0ms (3.9%)

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
250-0-(+.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))
140-0-(-.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)

Results
42.0ms256×256infinite
39.0ms256×256valid
Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
Operation ival-mult, time spent: 22.0ms, 70.0% of total-time
Operation ival-add, time spent: 5.0ms, 16.0% of total-time
Operation ival-sub, time spent: 3.0ms, 10.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

eval1.0ms (0%)

Compiler

Compiled 73 to 30 computations (58.9% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
86.5%
(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))))
85.4%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
82.9%
(+.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 52 to 30 computations (42.3% saved)

localize165.0ms (1.9%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
95.4%
(*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
95.1%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
93.7%
(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))))
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)))
86.5%
(-.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)
95.1%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
90.1%
(+.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))
Results
51.0ms128×256infinite
62.0ms128×256valid
Compiler

Compiled 149 to 42 computations (71.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
Operation ival-mult, time spent: 50.0ms, 66.0% of total-time
Operation ival-pow, time spent: 9.0ms, 12.0% of total-time
Operation composed, time spent: 6.0ms, 8.0% of total-time
Operation ival-add, time spent: 6.0ms, 8.0% of total-time
Operation ival-sub, time spent: 3.0ms, 4.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

series33.0ms (0.4%)

Counts
10 → 240
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 (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 (*.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)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))>
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#<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))))>
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#<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))))>
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#<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)))>
#<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 -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))))))))>
#<alt (*.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))))))))>
#<alt (*.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))))))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (*.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))))))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.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)))>
#<alt (*.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)))>
#<alt (*.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)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.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)))>
#<alt (*.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)))>
#<alt (*.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)))>
#<alt (*.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))) (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))) (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))) (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 (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 (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 (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 -1 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 -1 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 -1 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 (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (+.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))))>
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#<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))))))>
#<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

60 calls:

TimeVariablePointExpression
3.0ms
x.im
@0
(* (- (* x.re x.re) (* x.im x.im)) x.im)
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))

rewrite475.0ms (5.6%)

Algorithm
batch-egg-rewrite
Rules
1088×log1p-expm1-u
222×associate-*r*
198×expm1-log1p-u
192×add-exp-log
191×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028386
1481326
26241326
Stop Event
node limit
Counts
10 → 296
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))))
(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 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)))))) (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)) (*.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))))))
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(fma.f64 x.re x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (-.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))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.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))))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (sqrt.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))))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re 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 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 x.im (pow.f64 x.re #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+.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 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 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 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #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))))
(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 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.im))
(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)))

simplify179.0ms (2.1%)

Algorithm
egg-herbie
Rules
78×*-commutative
53×+-commutative
31×sub-neg
29×fma-undefine
24×unpow2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
050323642
1127923642
Stop Event
unsound
Counts
536 → 307
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)))
(*.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 #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 -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 #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 #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 #s(literal -1 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)))
(-.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 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 1 binary64) (*.f64 #s(literal -1 binary64) (/.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 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 1 binary64) (*.f64 #s(literal -1 binary64) (/.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 (*.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)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
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(+.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 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (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 #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 #s(literal -1 binary64) (/.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 #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 #s(literal -1 binary64) (/.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 (*.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 (*.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 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 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 3 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 3 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)))
(*.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 (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 -1 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 -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
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(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
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(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(/.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))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (neg.f64 (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 (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)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.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 (-.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 4 binary64)) (*.f64 (neg.f64 (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)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #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 (-.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)))))
(pow.f64 (-.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 (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 (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 (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 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.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 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.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 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.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 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (-.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))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.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))))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (sqrt.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))))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re 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 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 x.im (pow.f64 x.re #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+.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 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 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 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #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))))
(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 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.im))
(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)))
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))))
(-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 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 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 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 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 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 #s(literal 3 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 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 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 #s(literal -3 binary64) (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 (*.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 #s(literal -3 binary64) (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 (*.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 #s(literal -3 binary64) (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.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)))
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(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #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 (-.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 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #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 (pow.f64 x.re #s(literal 2 binary64)) (+.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))))))
(pow.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.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.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 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (-.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)) (pow.f64 x.im #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (-.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 (-.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)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.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)))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.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)))
(exp.f64 (log.f64 (-.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)))
(exp.f64 (*.f64 (log.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.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 x.re x.re (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)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal 0 binary64) (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (-.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 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.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 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (sqrt.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 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (+.f64 x.im x.re) (-.f64 x.re 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 x.im (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #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))) (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 x.im (+.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 x.im (pow.f64 x.re #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))) (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 (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))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (*.f64 x.im x.re) #s(literal 2 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 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #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 (*.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))))
(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 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.im))
(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))))

eval362.0ms (4.2%)

Compiler

Compiled 8656 to 5248 computations (39.4% saved)

prune65.0ms (0.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New3707377
Fresh000
Picked123
Done000
Total3719380
Accuracy
100.0%
Counts
380 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.5%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
85.4%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
85.4%
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
82.9%
(+.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))
74.6%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) #s(literal 0 binary64))
85.6%
(+.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))
51.5%
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
51.5%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
56.4%
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
Compiler

Compiled 208 to 138 computations (33.7% saved)

localize375.0ms (4.4%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
88.7%
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
99.7%
(*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64)))
88.8%
(*.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)
95.1%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
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)
90.1%
(+.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))
Results
52.0ms128×256infinite
217.0ms128×256valid
Compiler

Compiled 149 to 49 computations (67.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 217.0ms
Operation ival-neg, time spent: 146.0ms, 67.0% of total-time
Operation ival-pow, time spent: 36.0ms, 17.0% of total-time
Operation ival-mult, time spent: 23.0ms, 11.0% of total-time
Operation ival-add, time spent: 5.0ms, 2.0% of total-time
Operation ival-sub, time spent: 3.0ms, 1.0% of total-time
Operation const, time spent: 3.0ms, 1.0% of total-time

series129.0ms (1.5%)

Counts
5 → 96
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 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 #s(literal 3 binary64)))>
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)))))>
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#<alt (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))>
Calls

27 calls:

TimeVariablePointExpression
117.0ms
x.re
@0
(* (* (- x.re x.im) (+ x.re x.im)) x.im)
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.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.im
@inf
(+ (* (* (- x.re x.im) (+ x.re x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite166.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
1027×log1p-expm1-u
733×expm1-log1p-u
188×associate-*r*
155×add-cube-cbrt
153×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023183
1385151
25201151
Stop Event
node limit
Counts
5 → 104
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 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 #s(literal 3 binary64)))
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)) (*.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 (/.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)) (*.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 (/.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)) (*.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 (/.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)) (*.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 (/.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))))))
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(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))))
(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 (*.f64 x.im (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im))))
(+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im))
(-.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 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (+.f64 x.re x.im))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im))) (+.f64 x.re x.im))
(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 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.im))
(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)))
(-.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))
(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 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 9 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) #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) (*.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 (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 #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 (*.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)))
(-.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 (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 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 (exp.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))) #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 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 9 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) #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) (*.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 (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 #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 (*.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)))

simplify71.0ms (0.8%)

Algorithm
egg-herbie
Rules
79×*-commutative
47×+-commutative
26×fma-define
24×distribute-rgt-in
24×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03148838
19878838
Stop Event
unsound
Counts
200 → 157
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 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 (/.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)) (*.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 (/.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))))
(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 (*.f64 x.im (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im))))
(+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im))
(-.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 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (+.f64 x.re x.im))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (+.f64 x.re x.im))) (+.f64 x.re x.im))
(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 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.im))
(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)))
(-.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))
(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 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 9 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) #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) (*.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 (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 #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 (*.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)))
(-.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 (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 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 (exp.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))))) #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 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 9 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) #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) (*.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 (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 #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 (*.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)))
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 x.im (*.f64 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))))))
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(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 #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 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 (*.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))))))
(log1p.f64 (expm1.f64 (*.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))))
(exp.f64 (log.f64 (*.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))))
(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 #s(literal 3 binary64) (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64))))

eval128.0ms (1.5%)

Compiler

Compiled 5747 to 3656 computations (36.4% saved)

prune46.0ms (0.5%)

Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New2872289
Fresh022
Picked235
Done022
Total2899298
Accuracy
100.0%
Counts
298 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.5%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
85.4%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
85.4%
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
85.6%
(+.f64 (+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
82.9%
(+.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))
80.1%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))
51.5%
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
51.5%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
56.4%
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
Compiler

Compiled 127 to 81 computations (36.2% saved)

localize658.0ms (7.7%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
99.8%
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
96.3%
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
79.1%
(sqrt.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64))))
99.9%
(*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
99.8%
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
96.3%
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
99.9%
(*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)
99.9%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
99.8%
(+.f64 (+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
95.5%
(*.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im)
95.5%
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im)
Results
79.0ms127×256invalid
463.0ms75×256valid
31.0ms54×256infinite
Compiler

Compiled 221 to 72 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
Operation ival-mult, time spent: 51.0ms, 49.0% of total-time
Operation ival-pow, time spent: 28.0ms, 27.0% of total-time
Operation ival-add, time spent: 9.0ms, 9.0% of total-time
Operation ival-sub, time spent: 8.0ms, 8.0% of total-time
Operation ival-sqrt, time spent: 6.0ms, 6.0% of total-time
Operation const, time spent: 3.0ms, 3.0% of total-time

series35.0ms (0.4%)

Counts
10 → 216
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im)>
#<alt (+.f64 (+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 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 x.im (-.f64 x.re x.im)) x.im)>
#<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)))>
#<alt (sqrt.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64))))>
#<alt (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))>
#<alt (pow.f64 (sqrt.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))>
#<alt (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))>
Outputs
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re)))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re)))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 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 #s(literal -1 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 (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 (pow.f64 x.im #s(literal 2 binary64)) 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 #s(literal -1 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 (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 (pow.f64 x.im #s(literal 2 binary64)) x.re))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im x.re)) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im x.re)) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im x.re)) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) 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.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))) (pow.f64 x.im #s(literal 2 binary64))))))>
#<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 2 binary64)) x.re)) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.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 -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (+.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 (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 -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (+.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 (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 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) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) 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) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) (pow.f64 x.im #s(literal 2 binary64)))) 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) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) (pow.f64 x.im #s(literal 2 binary64)))) 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 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) 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 x.re (+.f64 (*.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 x.re (+.f64 (*.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 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))>
#<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 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 x.re x.im) #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 -1 binary64) (/.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 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 x.re 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 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) (pow.f64 x.im #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) (pow.f64 x.im #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) (pow.f64 x.im #s(literal 2 binary64))))>
#<alt (*.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) (pow.f64 x.im #s(literal 2 binary64))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re))))>
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#<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)))>
#<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)))>
#<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)))>
#<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)))>
#<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 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)))>
#<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)))>
#<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)))>
#<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)))>
#<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)))>
#<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)))>
#<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 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 #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))>
Calls

60 calls:

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

rewrite244.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
1007×log1p-expm1-u
246×associate-*r*
205×expm1-log1p-u
201×add-cube-cbrt
198×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031403
1568343
26711343
Stop Event
node limit
Counts
10 → 280
Calls
Call 1
Inputs
(*.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im)
(+.f64 (+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 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 x.im (-.f64 x.re x.im)) 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 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)))
(sqrt.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.re) (-.f64 x.re x.im)) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im))))
(exp.f64 (log.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) #s(literal 2 binary64)) (-.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (*.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 (-.f64 x.re x.im) (+.f64 x.re x.im))) (*.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 (-.f64 x.re x.im) (+.f64 x.re x.im)))) #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 (-.f64 x.re x.im) (+.f64 x.re x.im)))))
(*.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))) (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))) #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 (-.f64 x.re x.im) (+.f64 x.re x.im))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))) (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) #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 (-.f64 x.re x.im) (+.f64 x.re x.im))) #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 (-.f64 x.re x.im) (+.f64 x.re x.im))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) #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 (-.f64 x.re x.im) (+.f64 x.re x.im))) (*.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 (-.f64 x.re x.im) (+.f64 x.re x.im))) #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 (-.f64 x.re x.im) (+.f64 x.re x.im)))))) (+.f64 (pow.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) #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 (-.f64 x.re x.im) (+.f64 x.re x.im))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (pow.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) #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 (-.f64 x.re x.im) (+.f64 x.re x.im))) #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 (-.f64 x.re x.im) (+.f64 x.re x.im))) #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 (-.f64 x.re x.im) (+.f64 x.re x.im)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #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 (-.f64 x.re x.im) (+.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 9 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))) #s(literal 1 binary64)))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) x.re) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #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 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64)))

simplify202.0ms (2.4%)

Algorithm
egg-herbie
Rules
182×*-commutative
98×+-commutative
64×fma-define
46×associate-*r*
42×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068527320
1184127320
Stop Event
unsound
Counts
496 → 344
Calls
Call 1
Inputs
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 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 #s(literal -1 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 (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 (pow.f64 x.im #s(literal 2 binary64)) 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 #s(literal -1 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 (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 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im x.re)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im x.re)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im x.re)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) 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.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))) (pow.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)))
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(*.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 2 binary64)) x.re)) (+.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 (pow.f64 x.im #s(literal 2 binary64)) x.re))))))
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(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))
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(*.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))))
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(*.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)))
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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) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.re (+.f64 (*.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 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) (-.f64 (/.f64 x.re x.im) #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 -1 binary64) (/.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 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 x.re x.im)))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
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(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
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(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
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(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #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 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.re)
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re)))
(*.f64 x.re (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.im x.re)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re)))
(*.f64 x.re (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.im x.re)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re)))
(*.f64 x.re (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (*.f64 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 #s(literal -1 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 (neg.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 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (neg.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 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) 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 #s(literal -1 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 (neg.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 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (neg.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 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.re)))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im x.re)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.im x.re) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im x.re)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.im x.re) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im x.re)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (fma.f64 #s(literal -1 binary64) (*.f64 x.im x.re) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.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.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re (*.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))) (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 x.re (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))) (pow.f64 x.im #s(literal 2 binary64))))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 x.re (*.f64 x.im #s(literal 3 binary64)) (pow.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 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 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) 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 2 binary64)) x.re) (fma.f64 #s(literal 2 binary64) x.im (/.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 -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (+.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 (pow.f64 x.im #s(literal 2 binary64)) 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 2 binary64)) x.re) (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 (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 -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (+.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 (pow.f64 x.im #s(literal 2 binary64)) 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 2 binary64)) x.re) (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 (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 2 binary64) x.im)))
(*.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 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) 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 (*.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 2 binary64))) 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) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) (pow.f64 x.im #s(literal 2 binary64)))) 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) (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.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) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) (pow.f64 x.im #s(literal 2 binary64)))) 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) (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.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 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 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 (*.f64 x.re #s(literal 0 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 (*.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 (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im (+.f64 (-.f64 x.re 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)))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im (+.f64 (-.f64 x.re x.im) (neg.f64 x.re)) (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 -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 #s(literal 0 binary64) (/.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 (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) (fma.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 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) (fma.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)))
(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 -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)) x.im)))))
(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (*.f64 x.re #s(literal 0 binary64)) 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 x.re (+.f64 (*.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 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x.re #s(literal 0 binary64)) (neg.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal -3 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 x.re (+.f64 (*.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 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (+.f64 (*.f64 x.re #s(literal 0 binary64)) (neg.f64 (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal -3 binary64)) x.im))) x.im))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 x.re x.im))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 x.re x.im))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 x.re x.im))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
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(/.f64 (+.f64 (pow.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)) (neg.f64 (pow.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (-.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (-.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))))
(sqrt.f64 (pow.f64 (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (-.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))))
(-.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))))))
(-.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64)))
(-.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))))
(expm1.f64 (log1p.f64 (-.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))))
(-.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(exp.f64 (log.f64 (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))))
(-.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))) #s(literal 1 binary64)))
(-.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (*.f64 x.im (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 3 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (pow.f64 (*.f64 x.re (sqrt.f64 (*.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.re x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 x.re #s(literal 3 binary64)) (*.f64 x.im x.re) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
(pow.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) #s(literal 3 binary64))
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
(pow.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) x.re) #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))))))
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)))
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal 3 binary64)) #s(literal 3 binary64))))
(*.f64 x.re (*.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 x.re #s(literal 3 binary64))))
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))))
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))

eval185.0ms (2.2%)

Compiler

Compiled 10047 to 5802 computations (42.3% saved)

prune69.0ms (0.8%)

Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New4063409
Fresh000
Picked224
Done055
Total40810418
Accuracy
100.0%
Counts
418 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.4%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
85.4%
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
56.8%
(+.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
80.1%
(+.f64 (+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)) #s(literal 0 binary64))
90.0%
(+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
82.9%
(+.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))
80.1%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))
51.5%
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
51.5%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
56.4%
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
Compiler

Compiled 160 to 93 computations (41.9% saved)

localize152.0ms (1.8%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im))
99.8%
(+.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
99.8%
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im))) #s(literal 2 binary64))
79.1%
(sqrt.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im)))
100.0%
(*.f64 x.im (-.f64 x.re x.im))
99.9%
(*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)
95.5%
(*.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im)
99.9%
(*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)
99.9%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
99.9%
(*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im))
99.8%
(+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
37.0ms127×256invalid
33.0ms75×256valid
17.0ms54×256infinite
Compiler

Compiled 262 to 31 computations (88.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
Operation ival-mult, time spent: 16.0ms, 37.0% of total-time
Operation ival-add, time spent: 15.0ms, 35.0% of total-time
Operation ival-pow, time spent: 7.0ms, 16.0% of total-time
Operation ival-sub, time spent: 2.0ms, 5.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 5.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

series24.0ms (0.3%)

Counts
7 → 168
Calls
Call 1
Inputs
#<alt (+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 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 x.im x.re) (-.f64 x.re x.im))>
#<alt (*.f64 x.im (-.f64 x.re x.im))>
#<alt (sqrt.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im)))>
#<alt (pow.f64 (sqrt.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im))) #s(literal 2 binary64))>
#<alt (+.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 (*.f64 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 x.re x.im) (*.f64 x.re x.im))>
Outputs
#<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 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) 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 x.re (+.f64 (*.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 x.re (+.f64 (*.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.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))) (pow.f64 x.im #s(literal 2 binary64))))))>
#<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 2 binary64)) x.re)) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.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 -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (+.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 (pow.f64 x.im #s(literal 2 binary64)) x.re))))))>
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#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im)))>
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#<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))))>
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#<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 (*.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)))>
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#<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 x.re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))) x.im)) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re)))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re)))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re)))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 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 2 binary64)) x.re))))>
#<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 2 binary64)) x.re))))>
#<alt (*.f64 x.im (pow.f64 x.re #s(literal 2 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 2 binary64)) x.re))))>
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#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im x.re)) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
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#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))>
Calls

42 calls:

TimeVariablePointExpression
4.0ms
x.im
@inf
(+ (+ (pow (sqrt (* (- x.re x.im) (* x.re x.im))) 2) (* (* x.im (- x.re x.im)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
1.0ms
x.im
@-inf
(sqrt (* (- x.re x.im) (* x.re x.im)))
1.0ms
x.im
@-inf
(pow (sqrt (* (- x.re x.im) (* x.re x.im))) 2)
1.0ms
x.re
@0
(sqrt (* (- x.re x.im) (* x.re x.im)))
1.0ms
x.im
@inf
(sqrt (* (- x.re x.im) (* x.re x.im)))

rewrite195.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
995×log1p-expm1-u
895×expm1-log1p-u
150×associate-*r*
146×add-cube-cbrt
141×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024358
1440300
24845300
Stop Event
node limit
Counts
7 → 227
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 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 x.im x.re) (-.f64 x.re x.im))
(*.f64 x.im (-.f64 x.re x.im))
(sqrt.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im)))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im))) #s(literal 2 binary64))
(+.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 (*.f64 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 x.re x.im) (*.f64 x.re 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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) #s(literal 2 binary64)) (-.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) (*.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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) (*.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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))) #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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))))
(*.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))) (pow.f64 (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))) #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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))))
(*.f64 (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))) (sqrt.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))))
(*.f64 (+.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) #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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) #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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) #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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) (*.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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) #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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))))) (+.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) #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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
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(exp.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))) #s(literal 1 binary64)))
(fma.f64 x.im (*.f64 x.re (-.f64 x.re x.im)) (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))
(fma.f64 (*.f64 x.im x.re) (-.f64 x.re x.im) (fma.f64 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 x.re x.im) (*.f64 x.im x.re) (fma.f64 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 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))
(fma.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))) (sqrt.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))) (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (*.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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))) (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))) (*.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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))
(fma.f64 (sqrt.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))) (sqrt.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))) (*.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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))
(fma.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(+.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 x.im x.re) (neg.f64 x.im)))
(+.f64 (*.f64 x.re (*.f64 x.im x.re)) (*.f64 (neg.f64 x.im) (*.f64 x.im x.re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x.im x.re) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.im x.re))))
(/.f64 (*.f64 (*.f64 x.im x.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (+.f64 x.im x.re))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im x.re)) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.im x.re))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re)) (+.f64 x.im x.re))
(pow.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))) #s(literal 2 binary64))
(pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.re) x.im) (-.f64 x.re x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))) #s(literal 1 binary64)))

simplify160.0ms (1.9%)

Algorithm
egg-herbie
Rules
208×*-commutative
94×+-commutative
64×fma-define
59×associate-*r*
44×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061322587
1196722587
Stop Event
unsound
Counts
395 → 292
Calls
Call 1
Inputs
(*.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 #s(literal -1 binary64) (/.f64 (+.f64 x.re (*.f64 #s(literal -1 binary64) 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 x.re (+.f64 (*.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 x.re (+.f64 (*.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.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))) (pow.f64 x.im #s(literal 2 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 x.re (+.f64 x.im (*.f64 #s(literal 2 binary64) x.im))) (pow.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 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (+.f64 (*.f64 #s(literal 2 binary64) x.im) (/.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 -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (+.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 (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 -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (+.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 (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 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) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) 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) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) (pow.f64 x.im #s(literal 2 binary64)))) 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) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) (pow.f64 x.im #s(literal 2 binary64)))) x.re)) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im x.re)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im x.re)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im x.re)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) x.im)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 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 #s(literal -1 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 (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 (pow.f64 x.im #s(literal 2 binary64)) 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 #s(literal -1 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 (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 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(*.f64 x.im x.re)
(*.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))
(*.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))
(*.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #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 x.re x.im) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re))
(*.f64 x.im x.re)
(*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.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 (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 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
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(/.f64 (+.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) #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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) #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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) #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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) #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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) #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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) #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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (*.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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) #s(literal 2 binary64))) (-.f64 (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (-.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))) #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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))) #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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))) #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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))) #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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))) #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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))))
(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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))) #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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))))
(exp.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))) #s(literal 1 binary64)))
(fma.f64 x.im (*.f64 x.re (-.f64 x.re x.im)) (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))
(fma.f64 (*.f64 x.im x.re) (-.f64 x.re x.im) (fma.f64 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 x.re x.im) (*.f64 x.im x.re) (fma.f64 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 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))
(fma.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))) (sqrt.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))) (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (*.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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))) (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))) (*.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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))
(fma.f64 (sqrt.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))) (sqrt.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))) (*.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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))
(fma.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(+.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 x.im x.re) (neg.f64 x.im)))
(+.f64 (*.f64 x.re (*.f64 x.im x.re)) (*.f64 (neg.f64 x.im) (*.f64 x.im x.re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x.im x.re) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.im x.re))))
(/.f64 (*.f64 (*.f64 x.im x.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (+.f64 x.im x.re))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im x.re)) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.im x.re))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re)) (+.f64 x.im x.re))
(pow.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))) #s(literal 2 binary64))
(pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.re) x.im) (-.f64 x.re x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))) #s(literal 1 binary64)))
Outputs
(*.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)))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im (+.f64 (-.f64 x.re 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)))))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 2 binary64)) (fma.f64 x.im (+.f64 (-.f64 x.re x.im) (neg.f64 x.re)) (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 -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 (neg.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 (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) (fma.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 (pow.f64 x.im #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x.re x.im) (fma.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)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
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(*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 x.re) x.im))))
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(fma.f64 #s(literal -1 binary64) (neg.f64 x.re) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 x.im (*.f64 x.re (-.f64 x.re x.im)) (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (neg.f64 x.re)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal -1 binary64) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (neg.f64 x.re))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))) (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 x.im (*.f64 x.re (-.f64 x.re x.im)) (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (neg.f64 x.re)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))) (neg.f64 x.re))
(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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))
(fma.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (cbrt.f64 x.re)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (cbrt.f64 x.re)) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))))
(fma.f64 (sqrt.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))) (sqrt.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im))))) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))) (sqrt.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))) (neg.f64 x.re))
(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 (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.im)))))
(fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x.re)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x.re)) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))))
(fma.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 x.im (*.f64 x.re (-.f64 x.re x.im)) (fma.f64 x.im (*.f64 x.im (-.f64 x.re x.im)) (neg.f64 x.re)))
(+.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 x.im x.re) (neg.f64 x.im)))
(*.f64 x.im (*.f64 x.re (-.f64 x.re x.im)))
(+.f64 (*.f64 x.re (*.f64 x.im x.re)) (*.f64 (neg.f64 x.im) (*.f64 x.im x.re)))
(*.f64 x.im (*.f64 x.re (-.f64 x.re x.im)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re x.im)))))
(/.f64 (*.f64 (*.f64 x.im x.re) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.im x.re))))
(*.f64 (*.f64 x.im x.re) (/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.im x.re)))))
(/.f64 (*.f64 (*.f64 x.im x.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (+.f64 x.im x.re))
(*.f64 (*.f64 x.im x.re) (/.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 x.im x.re)))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.im x.re)) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.im x.re))))
(*.f64 (*.f64 x.im x.re) (/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.im x.re)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im x.re)) (+.f64 x.im x.re))
(*.f64 (*.f64 x.im x.re) (/.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 x.im x.re)))
(pow.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))) #s(literal 2 binary64))
(*.f64 x.im (*.f64 x.re (-.f64 x.re x.im)))
(pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) #s(literal 1 binary64))
(*.f64 x.im (*.f64 x.re (-.f64 x.re x.im)))
(pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))) #s(literal 3 binary64))
(*.f64 x.im (*.f64 x.re (-.f64 x.re x.im)))
(pow.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re x.im))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.im (*.f64 x.re (-.f64 x.re x.im)))
(sqrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re x.im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.re) x.im) (-.f64 x.re x.im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))))))
(*.f64 x.im (*.f64 x.re (-.f64 x.re x.im)))
(cbrt.f64 (pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))) #s(literal 3 binary64)))
(*.f64 x.im (*.f64 x.re (-.f64 x.re x.im)))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re x.im)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))))
(*.f64 x.im (*.f64 x.re (-.f64 x.re x.im)))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))))
(*.f64 x.im (*.f64 x.re (-.f64 x.re x.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im)))) #s(literal 1 binary64)))
(*.f64 x.im (*.f64 x.re (-.f64 x.re x.im)))

eval190.0ms (2.2%)

Compiler

Compiled 17860 to 5881 computations (67.1% saved)

prune109.0ms (1.3%)

Pruning

11 alts after pruning (4 fresh and 7 done)

PrunedKeptTotal
New6144618
Fresh000
Picked303
Done077
Total61711628
Accuracy
100.0%
Counts
628 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.4%
(-.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
85.4%
(-.f64 (*.f64 x.re (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))) (pow.f64 x.im #s(literal 3 binary64)))
55.3%
(+.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 (*.f64 x.im x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
36.4%
(+.f64 (+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.im)) #s(literal 0 binary64))
80.7%
(+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)) #s(literal 0 binary64))
55.8%
(+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
82.9%
(+.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))
80.1%
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))
51.5%
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im #s(literal 3 binary64)))
51.5%
(*.f64 x.im (*.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
56.4%
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
Compiler

Compiled 481 to 191 computations (60.3% saved)

regimes33.0ms (0.4%)

Counts
19 → 2
Calls
Call 1
Inputs
(+.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 (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.im)) #s(literal 0 binary64))
(+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)) #s(literal 0 binary64))
(+.f64 (+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 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) (*.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 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 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 (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 x.im (-.f64 x.re 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 x.im #s(literal 3 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 x.re (*.f64 x.im (*.f64 x.re #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 (pow.f64 (sqrt.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 (*.f64 x.im x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (+.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 x.re x.im) (*.f64 x.re x.im))) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(pow.f64 (sqrt.f64 (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 x.im #s(literal 3 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))) #s(literal 2 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

3 calls:

13.0ms
x.im
13.0ms
x.re
5.0ms
(+.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
93.6%2x.re
99.9%2x.im
99.7%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)

regimes13.0ms (0.2%)

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

2 calls:

8.0ms
x.im
4.0ms
(+.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
99.7%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))
99.7%2x.im
Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes12.0ms (0.1%)

Counts
8 → 3
Calls
Call 1
Inputs
(+.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 (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.im)) #s(literal 0 binary64))
(+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)) #s(literal 0 binary64))
(+.f64 (+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 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) (*.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 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
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))
(+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))
Calls

2 calls:

7.0ms
x.im
4.0ms
(+.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
99.8%3x.im
99.8%3(+.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 24 to 13 computations (45.8% saved)

regimes10.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
(+.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 (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.im)) #s(literal 0 binary64))
(+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)) #s(literal 0 binary64))
(+.f64 (+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 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) (*.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))
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))
(+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)) #s(literal 0 binary64))
Calls

2 calls:

5.0ms
x.im
3.0ms
(+.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%2x.im
96.0%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 24 to 13 computations (45.8% saved)

regimes5.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
(+.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 (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.im)) #s(literal 0 binary64))
(+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)) #s(literal 0 binary64))
(+.f64 (+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 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) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Outputs
(+.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.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))
Calls

1 calls:

4.0ms
x.im
Results
AccuracySegmentsBranch
95.4%2x.im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0.1%)

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

2 calls:

2.0ms
x.im
2.0ms
x.re
Results
AccuracySegmentsBranch
80.7%1x.re
80.7%1x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -29.7b remaining (-233%)

Threshold costs -29.7b (-233%)

Counts
3 → 1
Calls
Call 1
Inputs
(+.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 (-.f64 x.re x.im)) x.im) (*.f64 (*.f64 x.im x.re) 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:

2.0ms
x.im
2.0ms
x.re
Results
AccuracySegmentsBranch
80.1%1x.re
80.1%1x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch6.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
5.0ms
1.2660607125322308e+99
2.8018892038008134e+100
Results
3.0ms20×256valid
1.0ms12×256infinite
Compiler

Compiled 82 to 53 computations (35.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
Operation ival-add, time spent: 1.0ms, 42.0% of total-time
Operation ival-mult, time spent: 1.0ms, 42.0% 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

bsearch19.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
1.0232241894896186e+48
1.8417057860439112e+50
Results
8.0ms72×256valid
4.0ms40×256infinite
Compiler

Compiled 320 to 169 computations (47.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-mult, time spent: 5.0ms, 78.0% of total-time
Operation ival-sub, time spent: 1.0ms, 16.0% of total-time
Operation ival-add, time spent: 1.0ms, 16.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
2.1864356521922504e+172
2.321215951086049e+180
Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.544032535622069e+260
+inf
Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch10.0ms (0.1%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
7.0ms
1.0232241894896186e+48
1.8417057860439112e+50
Results
4.0ms35×256valid
1.0ms13×256infinite
Compiler

Compiled 134 to 78 computations (41.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
Operation ival-mult, time spent: 2.0ms, 74.0% 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

simplify18.0ms (0.2%)

Algorithm
egg-herbie
Rules
16×+-commutative
14×*-commutative
sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0581162
1911162
21021162
31081162
41111162
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 x.im #s(literal 10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 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 179999999999999992964398279826086091808951630823424 binary64)) (+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 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.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64)))
(if (<=.f64 (+.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)) #s(literal 40000000000000003307486514284232094705745107860608941345306137235330685577245426917490926656488695586868770570093062753395720267337599090797902308720426200916315558719258624 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)) (if (<=.f64 (+.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)) #s(literal +inf.0 binary64)) (+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))))
(if (<=.f64 (+.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)) #s(literal 999999999999999928773840520366757536876739320811576612231781480701470095354527494007746341441138276442474389769547563525432293116501122567178714359381222777104854460745804679379644497043208267383631647167377861948545889974808961869943571076775428108923489484800 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)) (+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)) #s(literal 0 binary64)))
(if (<=.f64 x.im #s(literal 100000000000000007629769841091887003294964970946560 binary64)) (+.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.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64)))
(+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 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))
Outputs
(if (<=.f64 x.im #s(literal 10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 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 10000000000000000159028911097599180468360808563945281389781327557747838772170381060813469985856815104 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 179999999999999992964398279826086091808951630823424 binary64)) (+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 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.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64)))
(if (<=.f64 x.im #s(literal 179999999999999992964398279826086091808951630823424 binary64)) (+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im)))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))))
(if (<=.f64 (+.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)) #s(literal 40000000000000003307486514284232094705745107860608941345306137235330685577245426917490926656488695586868770570093062753395720267337599090797902308720426200916315558719258624 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)) (if (<=.f64 (+.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)) #s(literal +inf.0 binary64)) (+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64))))
(if (<=.f64 (+.f64 (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) #s(literal 40000000000000003307486514284232094705745107860608941345306137235330685577245426917490926656488695586868770570093062753395720267337599090797902308720426200916315558719258624 binary64)) (+.f64 (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (if (<=.f64 (+.f64 (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) #s(literal +inf.0 binary64)) (+.f64 (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re))) (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.im x.re)))) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))))
(if (<=.f64 (+.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)) #s(literal 999999999999999928773840520366757536876739320811576612231781480701470095354527494007746341441138276442474389769547563525432293116501122567178714359381222777104854460745804679379644497043208267383631647167377861948545889974808961869943571076775428108923489484800 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)) (+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)) #s(literal 0 binary64)))
(if (<=.f64 (+.f64 (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) #s(literal 999999999999999928773840520366757536876739320811576612231781480701470095354527494007746341441138276442474389769547563525432293116501122567178714359381222777104854460745804679379644497043208267383631647167377861948545889974808961869943571076775428108923489484800 binary64)) (+.f64 (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re))) (*.f64 x.im (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im)))))
(if (<=.f64 x.im #s(literal 100000000000000007629769841091887003294964970946560 binary64)) (+.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.im) (+.f64 x.re x.im)) x.im) #s(literal 0 binary64)))
(if (<=.f64 x.im #s(literal 100000000000000007629769841091887003294964970946560 binary64)) (+.f64 (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (*.f64 x.re (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)))) (*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))))
(+.f64 (+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.im)) #s(literal 0 binary64))
(+.f64 (*.f64 (*.f64 x.im x.re) (-.f64 x.re x.im)) (*.f64 x.im (*.f64 x.im (-.f64 x.re x.im))))
(+.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)))
Compiler

Compiled 283 to 102 computations (64% saved)

soundness1.2s (14.1%)

Rules
1088×log1p-expm1-u
1027×log1p-expm1-u
1007×log1p-expm1-u
914×unsub-neg
733×expm1-log1p-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068527320
1184127320
031403
1568343
26711343
023183
1385151
25201151
028386
1481326
26241326
050323642
1127923642
042563
1136491
2368483
31517309
44607301
56832301
67668301
Stop Event
node limit
unsound
node limit
node limit
node limit
unsound
Compiler

Compiled 577 to 171 computations (70.4% saved)

end0.0ms (0%)

preprocess141.0ms (1.7%)

Remove

(abs x.re)

Compiler

Compiled 1090 to 426 computations (60.9% saved)

Profiling

Loading profile data...