math.cube on complex, real part

Time bar (total: 10.2s)

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
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.1s (10.8%)

Results
880.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 538.0ms
ival-mult: 398.0ms (74% of total)
ival-sub: 85.0ms (15.8% of total)
ival-add: 47.0ms (8.7% of total)
const: 7.0ms (1.3% of total)
backward-pass: 2.0ms (0.4% of total)
Bogosity

preprocess131.0ms (1.3%)

Algorithm
egg-herbie
Rules
1032×unsub-neg
568×fma-define
420×sub-neg
388×distribute-lft-out
372×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042591
1149519
2395483
31504301
44596301
56840301
67603301
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 x.im x.im)) (neg.f64 x.re)) (*.f64 (+.f64 (*.f64 (neg.f64 x.re) x.im) (*.f64 x.im (neg.f64 x.re))) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (neg.f64 x.im))) x.re) (*.f64 (+.f64 (*.f64 x.re (neg.f64 x.im)) (*.f64 (neg.f64 x.im) x.re)) (neg.f64 x.im)))
(neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 x.im x.im)) (neg.f64 x.re)) (*.f64 (+.f64 (*.f64 (neg.f64 x.re) x.im) (*.f64 x.im (neg.f64 x.re))) x.im)))
(neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (neg.f64 x.im))) x.re) (*.f64 (+.f64 (*.f64 x.re (neg.f64 x.im)) (*.f64 (neg.f64 x.im) x.re)) (neg.f64 x.im))))
(-.f64 (*.f64 (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.re x.im)) x.re))
Outputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.im (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))))
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.im (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))))
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 x.im x.im)) (neg.f64 x.re)) (*.f64 (+.f64 (*.f64 (neg.f64 x.re) x.im) (*.f64 x.im (neg.f64 x.re))) x.im))
(-.f64 (*.f64 (neg.f64 x.re) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (fma.f64 x.re (neg.f64 x.im) (*.f64 x.re (neg.f64 x.im)))))
(-.f64 (*.f64 x.re (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (*.f64 x.im (neg.f64 (*.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 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.im))))
(-.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.im (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (neg.f64 x.im))) x.re) (*.f64 (+.f64 (*.f64 x.re (neg.f64 x.im)) (*.f64 (neg.f64 x.im) x.re)) (neg.f64 x.im)))
(-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.im (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))))
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 x.im x.im)) (neg.f64 x.re)) (*.f64 (+.f64 (*.f64 (neg.f64 x.re) x.im) (*.f64 x.im (neg.f64 x.re))) x.im)))
(-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im))))
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.im (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))))
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(neg.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) (neg.f64 x.im))) x.re) (*.f64 (+.f64 (*.f64 x.re (neg.f64 x.im)) (*.f64 (neg.f64 x.im) x.re)) (neg.f64 x.im))))
(-.f64 (*.f64 (neg.f64 x.re) (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (fma.f64 x.re (neg.f64 x.im) (*.f64 x.re (neg.f64 x.im)))))
(-.f64 (*.f64 x.re (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (*.f64 x.im (neg.f64 (*.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 #s(literal 2 binary64) (*.f64 x.im (*.f64 x.re x.im))))
(-.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.im (*.f64 x.im (*.f64 x.re #s(literal 3 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.re x.im)) x.re))
(-.f64 (*.f64 x.im (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))) (*.f64 x.re (fma.f64 x.re x.im (*.f64 x.re x.im))))
(-.f64 (*.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.im x.re)) (*.f64 x.re (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))
(fma.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64)) (*.f64 x.im (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))))
(+.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.re 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)))))
Symmetry

(abs x.im)

(negabs x.re)

explain111.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
170-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
160-0-(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
160-0-(-.f64 (*.f64 x.re x.re) (*.f64 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.im)
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)
Results
57.0ms512×0valid
Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-mult: 21.0ms (71.5% of total)
ival-sub: 5.0ms (17% of total)
ival-add: 3.0ms (10.2% of total)
const: 1.0ms (3.4% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 75 to 30 computations (60% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
83.9%
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
84.0%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
80.9%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
80.8%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
Compiler

Compiled 65 to 39 computations (40% saved)

simplify99.0ms (1%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
cost-diff0
(*.f64 x.im x.im)
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff128
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff128
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
cost-diff0
(*.f64 x.im x.im)
cost-diff0
(*.f64 x.re (*.f64 x.im x.im))
cost-diff0
(*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
cost-diff0
(pow.f64 x.re #s(literal 3 binary64))
cost-diff0
(*.f64 x.im #s(literal -3 binary64))
cost-diff0
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))
cost-diff0
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
cost-diff0
(pow.f64 x.re #s(literal 3 binary64))
Rules
729×unsub-neg
651×fma-neg
591×fma-define
538×sub-neg
407×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032649
173617
2159617
3356614
4972614
53167614
65990614
77730614
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
(*.f64 x.re (*.f64 x.im x.im))
(*.f64 x.im x.im)
x.im
#s(literal -3 binary64)
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
x.re
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
(*.f64 x.im x.im)
x.im
(*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
(*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)
(*.f64 x.im #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im)))
(fma.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.re x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))
(*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.re x.im)))
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im)))
(fma.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.re x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im))
(*.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.re x.im)))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(*.f64 x.re (*.f64 x.im x.im))
(*.f64 (*.f64 x.re x.im) x.im)
(*.f64 x.im (*.f64 x.re x.im))
(*.f64 x.im x.im)
x.im
#s(literal -3 binary64)
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im)))
(fma.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.re x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re))
(*.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im x.im)))
(fma.f64 x.re (*.f64 x.im (neg.f64 x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(*.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))
(*.f64 x.im (*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.im) x.im)))
(fma.f64 #s(literal -3 binary64) (*.f64 x.im (*.f64 x.re x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
x.re
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
(*.f64 x.im x.im)
x.im
(*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -2 binary64))))
(*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)
(*.f64 x.im (*.f64 x.im #s(literal -2 binary64)))
(*.f64 x.im #s(literal -2 binary64))
#s(literal -2 binary64)

localize204.0ms (2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x.im #s(literal -2 binary64))
accuracy94.3%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy88.7%
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
accuracy85.0%
(*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
accuracy99.8%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy94.9%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy94.3%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy93.7%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy100.0%
(*.f64 x.im x.im)
accuracy99.8%
(*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
accuracy88.4%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
accuracy85.0%
(*.f64 x.re (*.f64 x.im x.im))
accuracy100.0%
(*.f64 x.im #s(literal -3 binary64))
accuracy99.8%
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))
accuracy88.4%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
accuracy85.0%
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
Results
81.0ms256×0valid
Compiler

Compiled 181 to 27 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 23.0ms (61.9% of total)
ival-pow: 5.0ms (13.5% of total)
ival-add: 3.0ms (8.1% of total)
ival-fma: 3.0ms (8.1% of total)
ival-sub: 2.0ms (5.4% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

series41.0ms (0.4%)

Counts
18 → 348
Calls
Call 1
Inputs
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))>
#<alt (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))>
#<alt (*.f64 x.im #s(literal -3 binary64))>
#<alt (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))>
#<alt (*.f64 x.re (*.f64 x.im x.im))>
#<alt (*.f64 x.im x.im)>
#<alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)>
#<alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))>
#<alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))>
#<alt (*.f64 x.re x.re)>
#<alt (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))>
#<alt (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))>
#<alt (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))>
#<alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)>
#<alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))>
#<alt (fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))>
#<alt (*.f64 x.im #s(literal -2 binary64))>
Outputs
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #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 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.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 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.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 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.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 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.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 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.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 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.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 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.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 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<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))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 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 3 binary64))>
#<alt (+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #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 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 x.re (+.f64 (*.f64 #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)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 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 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 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 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 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 3 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
#<alt (*.f64 #s(literal -2 binary64) x.im)>
Calls

90 calls:

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

rewrite419.0ms (4.1%)

Algorithm
batch-egg-rewrite
Rules
679×log1p-expm1-u
276×associate-*r*
220×expm1-log1p-u
216×add-cube-cbrt
215×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032503
1566420
27105420
Stop Event
node limit
Counts
18 → 448
Calls
Call 1
Inputs
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))
(*.f64 x.im #s(literal -3 binary64))
(*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
(*.f64 x.re (*.f64 x.im x.im))
(*.f64 x.im x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
(*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(*.f64 x.im #s(literal -2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 x.re (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(*.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) x.re))
(*.f64 (sqrt.f64 x.re) (*.f64 (sqrt.f64 x.re) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x.re) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re))
(*.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (sqrt.f64 x.re)) (sqrt.f64 x.re))
(sqrt.f64 (pow.f64 x.re #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x.re #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.re #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 x.re #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x.re #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.re #s(literal 3 binary64))))
(exp.f64 (log.f64 (pow.f64 x.re #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (*.f64 x.im (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.im (sqrt.f64 #s(literal -3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)))
(log.f64 (exp.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #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.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im #s(literal -3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) #s(literal -3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im #s(literal -3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x.im #s(literal -3 binary64))))
(exp.f64 (log.f64 (*.f64 x.im #s(literal -3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (*.f64 x.im (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)))))
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(pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x.im #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 x.im #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 1 binary64)))

simplify121.0ms (1.2%)

Algorithm
egg-herbie
Rules
127×*-commutative
71×+-commutative
53×sub-neg
39×fma-undefine
34×cube-mult
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08573407
128893407
Stop Event
unsound
Counts
796 → 465
Calls
Call 1
Inputs
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(fma.f64 #s(literal 1 binary64) (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.re (-.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.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))) (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))))) #s(literal 1 binary64))
(*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))
(*.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))) (cbrt.f64 (pow.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(*.f64 (sqrt.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))) (sqrt.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(pow.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x.im #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 x.im #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
#s(literal -27 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
#s(literal -27 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
#s(literal -27 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
#s(literal -27 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
#s(literal -27 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
#s(literal -27 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
#s(literal -27 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
#s(literal -27 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
#s(literal -27 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
#s(literal -27 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
#s(literal -27 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
#s(literal -27 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
#s(literal -27 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
#s(literal -27 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
#s(literal -27 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
#s(literal -27 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
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(+.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))
#s(literal -27 binary64)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))))) #s(literal 1 binary64))
#s(literal -27 binary64)
(*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))
#s(literal -27 binary64)
(*.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64))
#s(literal -27 binary64)
(*.f64 #s(literal 1 binary64) (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))))
#s(literal -27 binary64)
(*.f64 (cbrt.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))) (cbrt.f64 (pow.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))))
#s(literal -27 binary64)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))))
#s(literal -27 binary64)
(*.f64 (sqrt.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))) (sqrt.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))))
#s(literal -27 binary64)
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))))))
#s(literal -27 binary64)
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))))
#s(literal -27 binary64)
(pow.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64))
#s(literal -27 binary64)
(pow.f64 (cbrt.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 3 binary64))
#s(literal -27 binary64)
(pow.f64 (pow.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
#s(literal -27 binary64)
(pow.f64 (sqrt.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 2 binary64))
#s(literal -27 binary64)
(sqrt.f64 (pow.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 2 binary64)))
#s(literal -27 binary64)
(log.f64 (exp.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))))
#s(literal -27 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))))))
#s(literal -27 binary64)
(cbrt.f64 (pow.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 3 binary64)))
#s(literal -27 binary64)
(expm1.f64 (log1p.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))))
#s(literal -27 binary64)
(log1p.f64 (expm1.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))))
#s(literal -27 binary64)
(exp.f64 (log.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))))
#s(literal -27 binary64)
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))) #s(literal 1 binary64)))
#s(literal -27 binary64)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im #s(literal -2 binary64)))) #s(literal 1 binary64))
#s(literal -27 binary64)
(pow.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal 1 binary64))
#s(literal -27 binary64)
(pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 3 binary64))
#s(literal -27 binary64)
(pow.f64 (pow.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
#s(literal -27 binary64)
(pow.f64 (sqrt.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 2 binary64))
#s(literal -27 binary64)
(sqrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 4 binary64)))
#s(literal -27 binary64)
(log.f64 (pow.f64 (exp.f64 x.im) #s(literal -2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) #s(literal -27 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im #s(literal -2 binary64)))))
#s(literal -27 binary64)
(cbrt.f64 (pow.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal 3 binary64)))
#s(literal -27 binary64)
(expm1.f64 (log1p.f64 (*.f64 x.im #s(literal -2 binary64))))
#s(literal -27 binary64)
(log1p.f64 (expm1.f64 (*.f64 x.im #s(literal -2 binary64))))
#s(literal -27 binary64)
(exp.f64 (log.f64 (*.f64 x.im #s(literal -2 binary64))))
#s(literal -27 binary64)
(exp.f64 (*.f64 (log.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 1 binary64)))
#s(literal -27 binary64)

eval62.0ms (0.6%)

Compiler

Compiled 12244 to 1695 computations (86.2% saved)

prune195.0ms (1.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New5938601
Fresh000
Picked224
Done000
Total59510605
Accuracy
100.0%
Counts
605 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.5%
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
62.0%
(pow.f64 x.re #s(literal 3 binary64))
0.0%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
84.0%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
77.2%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
87.5%
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
54.4%
(-.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
86.8%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
80.9%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
80.8%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
Compiler

Compiled 288 to 178 computations (38.2% saved)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))
cost-diff0
(*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))
cost-diff0
(pow.f64 x.re #s(literal 3 binary64))
cost-diff0
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
cost-diff0
(pow.f64 x.re #s(literal 3 binary64))
cost-diff0
(+.f64 x.re #s(literal -27 binary64))
cost-diff0
(+.f64 x.im x.re)
cost-diff0
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
cost-diff0
(*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
cost-diff0
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff0
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
cost-diff128
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
cost-diff128
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
cost-diff0
(pow.f64 x.re #s(literal 3 binary64))
cost-diff0
(*.f64 x.im #s(literal -3 binary64))
cost-diff0
(*.f64 x.re x.im)
cost-diff0
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
Rules
15×*-commutative
12×fma-define
12×distribute-lft-in
10×distribute-rgt-in
associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038681
187681
2217681
Stop Event
unsound
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 x.im #s(literal 0 binary64))
#s(literal 0 binary64)
(-.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
(+.f64 x.im x.re)
x.im
x.re
(+.f64 x.re #s(literal -27 binary64))
#s(literal -27 binary64)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))
(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))
(*.f64 x.im (sqrt.f64 x.re))
x.im
(sqrt.f64 x.re)
#s(literal 2 binary64)
#s(literal -3 binary64)
Outputs
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(*.f64 x.im #s(literal 0 binary64))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(-.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (+.f64 x.re x.im) (*.f64 (+.f64 x.re #s(literal -27 binary64)) x.re)) (*.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im))))
(*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
(*.f64 (+.f64 x.re x.im) (*.f64 (+.f64 x.re #s(literal -27 binary64)) x.re))
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
(*.f64 (+.f64 x.re x.im) (+.f64 x.re #s(literal -27 binary64)))
(+.f64 x.im x.re)
(+.f64 x.re x.im)
x.im
x.re
(+.f64 x.re #s(literal -27 binary64))
#s(literal -27 binary64)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(*.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im)))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)))
(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))
(*.f64 x.im (sqrt.f64 x.re))
x.im
(sqrt.f64 x.re)
#s(literal 2 binary64)
#s(literal -3 binary64)

localize133.0ms (1.3%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
accuracy100.0%
(*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))
accuracy100.0%
(*.f64 x.im (sqrt.f64 x.re))
accuracy100.0%
(sqrt.f64 x.re)
accuracy100.0%
(pow.f64 x.re #s(literal 3 binary64))
accuracy100.0%
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
accuracy100.0%
(*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
accuracy100.0%
(*.f64 x.re x.im)
accuracy100.0%
(*.f64 x.im x.re)
accuracy100.0%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy100.0%
(*.f64 x.re x.re)
accuracy100.0%
(*.f64 x.im x.im)
accuracy100.0%
(*.f64 x.im #s(literal 0 binary64))
accuracy100.0%
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
accuracy100.0%
(pow.f64 x.re #s(literal 3 binary64))
accuracy100.0%
(*.f64 x.re x.im)
accuracy100.0%
(*.f64 x.im #s(literal -3 binary64))
Results
93.0ms256×0invalid
Compiler

Compiled 185 to 32 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 38.0ms (62.8% of total)
ival-pow: 8.0ms (13.2% of total)
ival-add: 5.0ms (8.3% of total)
ival-fma: 3.0ms (5% of total)
ival-sub: 3.0ms (5% of total)
ival-sqrt: 2.0ms (3.3% of total)
ival-div: 1.0ms (1.7% of total)
const: 1.0ms (1.7% of total)
backward-pass: 0.0ms (0% of total)

series31.0ms (0.3%)

Counts
15 → 224
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 x.re x.im)>
#<alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))>
#<alt (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))>
#<alt (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)>
#<alt (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))>
#<alt (+.f64 x.im x.re)>
#<alt (+.f64 x.re #s(literal -27 binary64))>
#<alt (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))>
#<alt (*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))>
#<alt (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))>
#<alt (*.f64 x.im #s(literal 0 binary64))>
#<alt (*.f64 x.im x.re)>
#<alt (sqrt.f64 x.re)>
#<alt (*.f64 x.im (sqrt.f64 x.re))>
Outputs
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 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 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 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 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 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 3 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 #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)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 #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)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (NAN.f64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (NAN.f64))>
#<alt (-.f64 (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) (NAN.f64))>
#<alt (-.f64 (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) (NAN.f64))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 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 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (NAN.f64) (pow.f64 x.re #s(literal 2 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 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (NAN.f64) (pow.f64 x.re #s(literal 2 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 3 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (NAN.f64) (pow.f64 x.re #s(literal 2 binary64))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 (/.f64 (NAN.f64) (pow.f64 x.re #s(literal 2 binary64))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (NAN.f64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64))) (NAN.f64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64))) (NAN.f64))>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64))) (NAN.f64))>
#<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 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (NAN.f64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (NAN.f64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (NAN.f64) (pow.f64 x.im #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 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (NAN.f64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (NAN.f64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (/.f64 (NAN.f64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (NAN.f64)>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64)))>
#<alt (+.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))>
#<alt (+.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))>
#<alt (+.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))>
#<alt (*.f64 x.im (+.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))>
#<alt (*.f64 x.im (+.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))>
#<alt (*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 x.im #s(literal 27 binary64)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 27 binary64)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 27 binary64)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re))) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re))) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x.im #s(literal 27 binary64)) x.re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x.im (*.f64 #s(literal -27 binary64) (/.f64 x.im x.re))) #s(literal 27 binary64)) x.re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x.im (*.f64 #s(literal -27 binary64) (/.f64 x.im x.re))) #s(literal 27 binary64)) x.re)) #s(literal 1 binary64))))>
#<alt (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))>
#<alt (+.f64 (*.f64 x.im (-.f64 x.re #s(literal 27 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))))>
#<alt (+.f64 (*.f64 x.im (-.f64 x.re #s(literal 27 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))))>
#<alt (+.f64 (*.f64 x.im (-.f64 x.re #s(literal 27 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))))>
#<alt (*.f64 x.im (-.f64 x.re #s(literal 27 binary64)))>
#<alt (*.f64 x.im (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im)) #s(literal 27 binary64)))>
#<alt (*.f64 x.im (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im)) #s(literal 27 binary64)))>
#<alt (*.f64 x.im (-.f64 (+.f64 x.re (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im)) #s(literal 27 binary64)))>
#<alt (*.f64 x.im (-.f64 x.re #s(literal 27 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 x.re #s(literal 27 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 x.re #s(literal 27 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 x.re #s(literal 27 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im)))))>
#<alt (*.f64 #s(literal -27 binary64) x.im)>
#<alt (+.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 x.im #s(literal 27 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 27 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 27 binary64))))>
#<alt (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 x.im x.re)) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re))) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re))) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (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 x.im x.re)) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 x.im #s(literal 27 binary64))) (*.f64 #s(literal 27 binary64) (/.f64 x.im x.re))) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (-.f64 x.im #s(literal 27 binary64))) (*.f64 #s(literal 27 binary64) (/.f64 x.im x.re))) x.re))))>
#<alt x.re>
#<alt x.im>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt (*.f64 x.im (+.f64 #s(literal 1 binary64) (/.f64 x.re x.im)))>
#<alt x.im>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64))))>
#<alt x.im>
#<alt x.re>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))>
#<alt x.re>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64))))>
#<alt #s(literal -27 binary64)>
#<alt (-.f64 x.re #s(literal 27 binary64))>
#<alt (-.f64 x.re #s(literal 27 binary64))>
#<alt (-.f64 x.re #s(literal 27 binary64))>
#<alt x.re>
#<alt (*.f64 x.re (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (*.f64 x.re (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (*.f64 x.re (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt x.re>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 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 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 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 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 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 3 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -3 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 #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)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 #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)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.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 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.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 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.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 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.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 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.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 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.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 (pow.f64 x.im #s(literal 2 binary64)) x.re)>
#<alt (*.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 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x.re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x.re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x.re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x.re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 x.im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 x.re)))>
Calls

78 calls:

TimeVariablePointExpression
2.0ms
x.re
@inf
(+ x.re -27)
1.0ms
x.re
@-inf
(+ (pow x.re 3) (* (pow (* x.im (sqrt x.re)) 2) -3))
1.0ms
x.re
@-inf
(* (pow (* x.im (sqrt x.re)) 2) -3)
1.0ms
x.im
@0
(* x.im (sqrt x.re))
1.0ms
x.im
@inf
(* (* (+ x.im x.re) (+ x.re -27)) x.re)

rewrite71.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
240×log1p-expm1-u
240×expm1-log1p-u
233×associate-*r*
232×add-cube-cbrt
231×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035521
1569521
Stop Event
node limit
Counts
15 → 561
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
(+.f64 x.im x.re)
(+.f64 x.re #s(literal -27 binary64))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))
(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))
(*.f64 x.im #s(literal 0 binary64))
(*.f64 x.im x.re)
(sqrt.f64 x.re)
(*.f64 x.im (sqrt.f64 x.re))
Outputs
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64) x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -7625597484987 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -7625597484987 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -7625597484987 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64) x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -7625597484987 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -7625597484987 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -7625597484987 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
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(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -7625597484987 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re #s(literal -7625597484987 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) (neg.f64 x.re))
#s(literal -7625597484987 binary64)
#s(literal -19683 binary64)
#s(literal -729 binary64)
#s(literal -27 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal 729 binary64)
#s(literal 531441 binary64)
#s(literal 387420489 binary64)
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64) x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -7625597484987 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -7625597484987 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -7625597484987 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -7625597484987 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re #s(literal -7625597484987 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64) x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -7625597484987 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -7625597484987 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -7625597484987 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -7625597484987 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re #s(literal -7625597484987 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64) x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -7625597484987 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -7625597484987 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -7625597484987 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
x.re
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -7625597484987 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re #s(literal -7625597484987 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) (neg.f64 x.re))

simplify1.4s (13.8%)

Algorithm
egg-herbie
Rules
715×fma-neg
539×fma-define
471×distribute-lft-neg-in
390×distribute-rgt-neg-in
374×times-frac
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
021912035
158711060
2170410544
3528110240
Stop Event
node limit
Counts
785 → 189
Calls
Call 1
Inputs
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 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 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 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 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 #s(literal -3 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 -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 #s(literal -3 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 -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 (pow.f64 x.re #s(literal 3 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 3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.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.re #s(literal 27 binary64)))
(+.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(+.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(+.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))))
(*.f64 x.im (+.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))
(*.f64 x.im (+.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))
(*.f64 x.im (+.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))
(*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))))
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
(*.f64 x.re (+.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 x.im #s(literal 27 binary64)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 27 binary64)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 27 binary64)))))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re))) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re))) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x.im #s(literal 27 binary64)) x.re)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x.im (*.f64 #s(literal -27 binary64) (/.f64 x.im x.re))) #s(literal 27 binary64)) x.re)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x.im (*.f64 #s(literal -27 binary64) (/.f64 x.im x.re))) #s(literal 27 binary64)) x.re)) #s(literal 1 binary64))))
(*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))
(+.f64 (*.f64 x.im (-.f64 x.re #s(literal 27 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))))
(+.f64 (*.f64 x.im (-.f64 x.re #s(literal 27 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))))
(+.f64 (*.f64 x.im (-.f64 x.re #s(literal 27 binary64))) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))))
(*.f64 x.im (-.f64 x.re #s(literal 27 binary64)))
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#s(literal -19683 binary64)
#s(literal -729 binary64)
#s(literal -27 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal 729 binary64)
#s(literal 531441 binary64)
#s(literal 387420489 binary64)
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64) x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -7625597484987 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -7625597484987 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -7625597484987 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -7625597484987 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re #s(literal -7625597484987 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64) x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(*.f64 x.re x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -7625597484987 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -7625597484987 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -7625597484987 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -7625597484987 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re #s(literal -7625597484987 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 x.re x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re (neg.f64 x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64) x.re))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) x.re))
(-.f64 x.re x.re)
(-.f64 x.re #s(literal -7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
(pow.f64 x.re #s(literal -7625597484987 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(sqrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
(log.f64 (+.f64 #s(literal -7625597484987 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
(log.f64 (/.f64 #s(literal -7625597484987 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 binary64) x.re)
(log1p.f64 (expm1.f64 x.re))
(exp.f64 (log.f64 x.re))
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -7625597484987 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re x.re)
(fma.f64 #s(literal -7625597484987 binary64) x.re #s(literal -7625597484987 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re (neg.f64 x.re))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) x.re)
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) (neg.f64 x.re))
Outputs
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 (pow.f64 x.re #s(literal 3 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 3 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(fma.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))
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(+.f64 x.re #s(literal 58149737003040059690390169 binary64))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 #s(literal 58149737003040059690390169 binary64) (neg.f64 x.re))
(-.f64 #s(literal 58149737003040059690390169 binary64) x.re)
#s(literal -7625597484987 binary64)
#s(literal -19683 binary64)
#s(literal -729 binary64)
#s(literal -27 binary64)
#s(literal -3 binary64)
#s(literal -1 binary64)
#s(literal 0 binary64)
#s(literal 1/4 binary64)
#s(literal 1/2 binary64)
#s(literal 3/4 binary64)
#s(literal 1 binary64)
#s(literal 3/2 binary64)
#s(literal 2 binary64)
#s(literal 3 binary64)
#s(literal 4 binary64)
#s(literal 6 binary64)
#s(literal 9 binary64)
#s(literal 27 binary64)
#s(literal 729 binary64)
#s(literal 531441 binary64)
#s(literal 387420489 binary64)
(+.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re (neg.f64 x.re))
#s(literal 0 binary64)
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64) x.re))
(+.f64 (*.f64 #s(literal 2 binary64) x.re) (*.f64 x.re #s(literal 7625597484987 binary64)))
(*.f64 x.re #s(literal 7625597484989 binary64))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(fma.f64 (fma.f64 #s(literal -1 binary64) x.re #s(literal 1 binary64)) x.re x.re)
(*.f64 x.re (+.f64 (neg.f64 x.re) #s(literal 2 binary64)))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(fma.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re (*.f64 x.re #s(literal -7625597484987 binary64)))
(*.f64 x.re #s(literal 7625597484988 binary64))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(fma.f64 (neg.f64 x.re) x.re x.re)
(-.f64 x.re (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re)))
(-.f64 #s(literal -7625597484987 binary64) (*.f64 x.re #s(literal -7625597484987 binary64)))
(fma.f64 x.re #s(literal 7625597484987 binary64) #s(literal -7625597484987 binary64))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 #s(literal -7625597484987 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 x.re x.re)
#s(literal 0 binary64)
(-.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re #s(literal 7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re x.re)
#s(literal 1 binary64)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
#s(literal 1 binary64)
(pow.f64 x.re #s(literal -7625597484987 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(cbrt.f64 x.re)
(sqrt.f64 x.re)
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x.re))
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
x.re
(log.f64 (+.f64 #s(literal -7625597484987 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
#s(literal 0 binary64)
(log.f64 (/.f64 #s(literal -7625597484987 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(-.f64 x.re #s(literal 1 binary64))
(+.f64 x.re #s(literal -1 binary64))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 binary64) x.re)
(hypot.f64 x.re #s(literal -7625597484987 binary64))
(log1p.f64 (expm1.f64 x.re))
x.re
(exp.f64 (log.f64 x.re))
x.re
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -7625597484987 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(*.f64 x.re (+.f64 x.re #s(literal -1 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(*.f64 #s(literal -7625597484986 binary64) x.re)
(*.f64 x.re #s(literal -7625597484986 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re x.re)
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(*.f64 #s(literal -7625597484986 binary64) x.re)
(*.f64 x.re #s(literal -7625597484986 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re #s(literal -7625597484987 binary64))
(fma.f64 x.re #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re (neg.f64 x.re))
(*.f64 x.re #s(literal -7625597484988 binary64))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal 58149737003040059690390169 binary64) x.re)
(+.f64 x.re #s(literal 58149737003040059690390169 binary64))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 #s(literal 58149737003040059690390169 binary64) (neg.f64 x.re))
(-.f64 #s(literal 58149737003040059690390169 binary64) x.re)
(+.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re (neg.f64 x.re))
#s(literal 0 binary64)
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64) x.re))
(+.f64 (*.f64 #s(literal 2 binary64) x.re) (*.f64 x.re #s(literal 7625597484987 binary64)))
(*.f64 x.re #s(literal 7625597484989 binary64))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(fma.f64 (fma.f64 #s(literal -1 binary64) x.re #s(literal 1 binary64)) x.re x.re)
(*.f64 x.re (+.f64 (neg.f64 x.re) #s(literal 2 binary64)))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(fma.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re (*.f64 x.re #s(literal -7625597484987 binary64)))
(*.f64 x.re #s(literal 7625597484988 binary64))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(fma.f64 (neg.f64 x.re) x.re x.re)
(-.f64 x.re (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re)))
(-.f64 #s(literal -7625597484987 binary64) (*.f64 x.re #s(literal -7625597484987 binary64)))
(fma.f64 x.re #s(literal 7625597484987 binary64) #s(literal -7625597484987 binary64))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 #s(literal -7625597484987 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 x.re x.re)
#s(literal 0 binary64)
(-.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re #s(literal 7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 #s(literal -7625597484987 binary64) x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(/.f64 x.re x.re)
#s(literal 1 binary64)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
#s(literal 1 binary64)
(pow.f64 x.re #s(literal -7625597484987 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(cbrt.f64 x.re)
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
x.re
(log.f64 (+.f64 #s(literal -7625597484987 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
#s(literal 0 binary64)
(log.f64 (/.f64 #s(literal -7625597484987 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(-.f64 x.re #s(literal 1 binary64))
(+.f64 x.re #s(literal -1 binary64))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 binary64) x.re)
(hypot.f64 x.re #s(literal -7625597484987 binary64))
(log1p.f64 (expm1.f64 x.re))
x.re
(exp.f64 (log.f64 x.re))
x.re
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -7625597484987 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(*.f64 x.re (+.f64 x.re #s(literal -1 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(*.f64 #s(literal -7625597484986 binary64) x.re)
(*.f64 x.re #s(literal -7625597484986 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re x.re)
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(*.f64 #s(literal -7625597484986 binary64) x.re)
(*.f64 x.re #s(literal -7625597484986 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re #s(literal -7625597484987 binary64))
(fma.f64 x.re #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re (neg.f64 x.re))
(*.f64 x.re #s(literal -7625597484988 binary64))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal 58149737003040059690390169 binary64) x.re)
(+.f64 x.re #s(literal 58149737003040059690390169 binary64))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 #s(literal 58149737003040059690390169 binary64) (neg.f64 x.re))
(-.f64 #s(literal 58149737003040059690390169 binary64) x.re)
(+.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re (neg.f64 x.re))
#s(literal 0 binary64)
(+.f64 x.re (fma.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64) x.re))
(+.f64 (*.f64 #s(literal 2 binary64) x.re) (*.f64 x.re #s(literal 7625597484987 binary64)))
(*.f64 x.re #s(literal 7625597484989 binary64))
(+.f64 x.re (fma.f64 (neg.f64 x.re) x.re x.re))
(fma.f64 (fma.f64 #s(literal -1 binary64) x.re #s(literal 1 binary64)) x.re x.re)
(*.f64 x.re (+.f64 (neg.f64 x.re) #s(literal 2 binary64)))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(+.f64 x.re (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(fma.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re (*.f64 x.re #s(literal -7625597484987 binary64)))
(*.f64 x.re #s(literal 7625597484988 binary64))
(+.f64 x.re (*.f64 (neg.f64 x.re) x.re))
(fma.f64 (neg.f64 x.re) x.re x.re)
(-.f64 x.re (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re)))
(-.f64 #s(literal -7625597484987 binary64) (*.f64 x.re #s(literal -7625597484987 binary64)))
(fma.f64 x.re #s(literal 7625597484987 binary64) #s(literal -7625597484987 binary64))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) x.re))
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 (pow.f64 x.re #s(literal 2 binary64))))
(-.f64 #s(literal -7625597484987 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 x.re x.re)
#s(literal 0 binary64)
(-.f64 x.re #s(literal -7625597484987 binary64))
(+.f64 x.re #s(literal 7625597484987 binary64))
(-.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re x.re)
#s(literal 1 binary64)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 (neg.f64 x.re) (neg.f64 x.re))
#s(literal 1 binary64)
(pow.f64 x.re #s(literal -7625597484987 binary64))
(pow.f64 x.re #s(literal 1/3 binary64))
(cbrt.f64 x.re)
(sqrt.f64 x.re)
(neg.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 x.re)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x.re))
(fabs.f64 x.re)
(log.f64 (exp.f64 x.re))
x.re
(log.f64 (+.f64 #s(literal -7625597484987 binary64) (expm1.f64 x.re)))
(log.f64 (/.f64 (exp.f64 x.re) (exp.f64 x.re)))
#s(literal 0 binary64)
(log.f64 (/.f64 #s(literal -7625597484987 binary64) (exp.f64 x.re)))
(cbrt.f64 x.re)
(expm1.f64 (log.f64 x.re))
(-.f64 x.re #s(literal 1 binary64))
(+.f64 x.re #s(literal -1 binary64))
(hypot.f64 x.re x.re)
(hypot.f64 x.re #s(literal -7625597484987 binary64))
(hypot.f64 #s(literal -7625597484987 binary64) x.re)
(hypot.f64 x.re #s(literal -7625597484987 binary64))
(log1p.f64 (expm1.f64 x.re))
x.re
(exp.f64 (log.f64 x.re))
x.re
(fma.f64 x.re x.re x.re)
(fma.f64 x.re x.re #s(literal -7625597484987 binary64))
(fma.f64 x.re x.re (neg.f64 x.re))
(*.f64 x.re (+.f64 x.re #s(literal -1 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(*.f64 #s(literal -7625597484986 binary64) x.re)
(*.f64 x.re #s(literal -7625597484986 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re x.re)
(fma.f64 x.re #s(literal -7625597484987 binary64) x.re)
(*.f64 #s(literal -7625597484986 binary64) x.re)
(*.f64 x.re #s(literal -7625597484986 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re #s(literal -7625597484987 binary64))
(fma.f64 x.re #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64))
(fma.f64 #s(literal -7625597484987 binary64) x.re (neg.f64 x.re))
(*.f64 x.re #s(literal -7625597484988 binary64))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) x.re)
(+.f64 #s(literal 58149737003040059690390169 binary64) x.re)
(+.f64 x.re #s(literal 58149737003040059690390169 binary64))
(fma.f64 #s(literal -7625597484987 binary64) #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 #s(literal 58149737003040059690390169 binary64) (neg.f64 x.re))
(-.f64 #s(literal 58149737003040059690390169 binary64) x.re)

eval44.0ms (0.4%)

Compiler

Compiled 6503 to 1167 computations (82.1% saved)

prune73.0ms (0.7%)

Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New40815423
Fresh123
Picked235
Done202
Total41320433
Accuracy
100.0%
Counts
433 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.5%
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
62.0%
(pow.f64 x.re #s(literal 3 binary64))
3.2%
(/.f64 x.re #s(literal -7625597484987 binary64))
2.5%
(/.f64 #s(literal -7625597484987 binary64) x.re)
84.0%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
54.6%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
77.2%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
30.2%
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
30.2%
(-.f64 (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
14.2%
(-.f64 x.re x.re)
4.5%
(-.f64 x.re #s(literal 1 binary64))
2.5%
(-.f64 #s(literal -7625597484987 binary64) x.re)
86.8%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
45.4%
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
5.8%
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
45.3%
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
38.2%
(*.f64 x.re x.re)
5.6%
(*.f64 x.re #s(literal 7625597484989 binary64))
2.8%
(*.f64 x.re #s(literal -7625597484987 binary64))
2.7%
#s(literal 1 binary64)
Compiler

Compiled 343 to 229 computations (33.2% saved)

simplify166.0ms (1.6%)

Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x.re #s(literal -27 binary64))
cost-diff0
(*.f64 x.im (*.f64 x.re #s(literal -27 binary64)))
cost-diff128
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff128
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
cost-diff0
(/.f64 x.re #s(literal -7625597484987 binary64))
cost-diff0
(-.f64 #s(literal -7625597484987 binary64) x.re)
cost-diff0
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
cost-diff0
(*.f64 x.im x.im)
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
Rules
706×fma-neg
668×fma-define
553×sub-neg
466×cancel-sign-sub-inv
329×unsub-neg
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027441
173420
2181406
3481378
41144374
53489374
66439374
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
#s(literal 2 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -7625597484987 binary64) x.re)
#s(literal -7625597484987 binary64)
x.re
(/.f64 x.re #s(literal -7625597484987 binary64))
x.re
#s(literal -7625597484987 binary64)
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 x.im (*.f64 x.re #s(literal -27 binary64)))
x.im
(*.f64 x.re #s(literal -27 binary64))
x.re
#s(literal -27 binary64)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Outputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(*.f64 x.re (-.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.im (*.f64 x.re x.im)) #s(literal -3 binary64)))
(fma.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.im (*.f64 x.re x.im)))
(fma.f64 x.re (neg.f64 (*.f64 x.im x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.im)
#s(literal 2 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -7625597484987 binary64) x.re)
#s(literal -7625597484987 binary64)
x.re
(/.f64 x.re #s(literal -7625597484987 binary64))
x.re
#s(literal -7625597484987 binary64)
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im))))
(*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(*.f64 x.im (*.f64 x.re (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (*.f64 x.im (fma.f64 x.im #s(literal -2 binary64) #s(literal -27 binary64))))
(*.f64 x.im (*.f64 x.re #s(literal -27 binary64)))
(*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))
(*.f64 (*.f64 x.re x.im) #s(literal -27 binary64))
x.im
(*.f64 x.re #s(literal -27 binary64))
x.re
#s(literal -27 binary64)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)

localize110.0ms (1.1%)

Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
accuracy100.0%
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy99.8%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy99.7%
(*.f64 x.im (*.f64 x.re #s(literal -27 binary64)))
accuracy100.0%
(/.f64 x.re #s(literal -7625597484987 binary64))
accuracy100.0%
(-.f64 #s(literal -7625597484987 binary64) x.re)
accuracy99.8%
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
accuracy94.9%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
accuracy94.3%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy93.7%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
Results
52.0ms256×0valid
Compiler

Compiled 119 to 23 computations (80.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 28.0ms
ival-mult: 18.0ms (65.4% of total)
ival-sub: 5.0ms (18.2% of total)
ival-div: 2.0ms (7.3% of total)
ival-add: 1.0ms (3.6% of total)
const: 1.0ms (3.6% of total)
backward-pass: 0.0ms (0% of total)

series12.0ms (0.1%)

Counts
7 → 132
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)>
#<alt (-.f64 #s(literal -7625597484987 binary64) x.re)>
#<alt (/.f64 x.re #s(literal -7625597484987 binary64))>
#<alt (*.f64 x.im (*.f64 x.re #s(literal -27 binary64)))>
#<alt (*.f64 x.re #s(literal -27 binary64))>
#<alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))>
#<alt (-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt #s(literal -7625597484987 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x.re) #s(literal 7625597484987 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x.re) #s(literal 7625597484987 binary64))>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) x.re) #s(literal 7625597484987 binary64))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 7625597484987 binary64) (/.f64 #s(literal 1 binary64) x.re)))))>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -1/7625597484987 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 #s(literal -27 binary64) x.re)>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (+.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 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (+.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 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (+.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 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 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 3 binary64))>
#<alt (+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #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 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))>
#<alt (*.f64 #s(literal -2 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 -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 #s(literal -2 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 -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal 27 binary64) x.im) (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal 27 binary64) x.im) (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal 27 binary64) x.im) (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal 27 binary64) x.im) (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))))))>
Calls

33 calls:

TimeVariablePointExpression
0.0ms
x.re
@-inf
(/ x.re -7625597484987)
0.0ms
x.re
@-inf
(* x.re -27)
0.0ms
x.re
@inf
(/ x.re -7625597484987)
0.0ms
x.im
@0
(* x.im (* x.re -27))
0.0ms
x.im
@-inf
(* x.im (* x.re -27))

rewrite179.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
743×log1p-expm1-u
206×expm1-log1p-u
205×associate-*r*
200×add-exp-log
198×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026204
1476147
26927147
Stop Event
node limit
Counts
7 → 205
Calls
Call 1
Inputs
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.im (*.f64 x.re #s(literal -27 binary64)))
(*.f64 x.re #s(literal -27 binary64))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Outputs
(+.f64 (*.f64 x.im (*.f64 x.re x.im)) (*.f64 x.im (*.f64 x.re x.im)))
(+.f64 (*.f64 (*.f64 x.re x.im) x.im) (*.f64 (*.f64 x.re x.im) x.im))
(-.f64 #s(literal 0 binary64) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.im) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
(pow.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.im)) #s(literal 3 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.im)) #s(literal 2 binary64))
(neg.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(sqrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x.im)))
(cbrt.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(exp.f64 (log.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64)))
(+.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re))
(+.f64 #s(literal -7625597484987 binary64) (*.f64 (neg.f64 x.re) #s(literal 1 binary64)))
(+.f64 (neg.f64 x.re) #s(literal -7625597484987 binary64))
(*.f64 (-.f64 #s(literal -7625597484987 binary64) x.re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -7625597484987 binary64) x.re))
(*.f64 (cbrt.f64 (-.f64 #s(literal -7625597484987 binary64) x.re)) (pow.f64 (cbrt.f64 (-.f64 #s(literal -7625597484987 binary64) x.re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal -7625597484987 binary64) x.re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal -7625597484987 binary64) x.re)))
(*.f64 (sqrt.f64 (-.f64 #s(literal -7625597484987 binary64) x.re)) (sqrt.f64 (-.f64 #s(literal -7625597484987 binary64) x.re)))
(*.f64 (-.f64 #s(literal -443426488243037769948249630619149892803 binary64) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 58149737003040059690390169 binary64) (*.f64 x.re (+.f64 x.re #s(literal -7625597484987 binary64))))))
(*.f64 (-.f64 #s(literal 58149737003040059690390169 binary64) (pow.f64 x.re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x.re #s(literal -7625597484987 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 58149737003040059690390169 binary64) (*.f64 x.re (+.f64 x.re #s(literal -7625597484987 binary64)))) (-.f64 #s(literal -443426488243037769948249630619149892803 binary64) (pow.f64 x.re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.re #s(literal -7625597484987 binary64)) (-.f64 #s(literal 58149737003040059690390169 binary64) (pow.f64 x.re #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal -443426488243037769948249630619149892803 binary64) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 #s(literal 58149737003040059690390169 binary64) (*.f64 x.re (+.f64 x.re #s(literal -7625597484987 binary64)))))
(/.f64 (-.f64 #s(literal 58149737003040059690390169 binary64) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 x.re #s(literal -7625597484987 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal -443426488243037769948249630619149892803 binary64) (pow.f64 x.re #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 58149737003040059690390169 binary64) (*.f64 x.re (+.f64 x.re #s(literal -7625597484987 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 58149737003040059690390169 binary64) (pow.f64 x.re #s(literal 2 binary64)))) (neg.f64 (+.f64 x.re #s(literal -7625597484987 binary64))))
(/.f64 (+.f64 #s(literal -443426488243037769948249630619149892803 binary64) (pow.f64 (neg.f64 x.re) #s(literal 3 binary64))) (+.f64 #s(literal 58149737003040059690390169 binary64) (-.f64 (*.f64 (neg.f64 x.re) (neg.f64 x.re)) (*.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re)))))
(/.f64 (-.f64 #s(literal 58149737003040059690390169 binary64) (*.f64 (neg.f64 x.re) (neg.f64 x.re))) (-.f64 #s(literal -7625597484987 binary64) (neg.f64 x.re)))
(pow.f64 (-.f64 #s(literal -7625597484987 binary64) x.re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal -7625597484987 binary64) x.re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal -7625597484987 binary64) x.re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal -7625597484987 binary64) x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal -7625597484987 binary64) x.re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal -7625597484987 binary64) x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal -7625597484987 binary64) x.re))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal -7625597484987 binary64) x.re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal -7625597484987 binary64) x.re)))
(log1p.f64 (expm1.f64 (-.f64 #s(literal -7625597484987 binary64) x.re)))
(exp.f64 (log.f64 (-.f64 #s(literal -7625597484987 binary64) x.re)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal -7625597484987 binary64) x.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re #s(literal -1/7625597484987 binary64)))) #s(literal 1 binary64))
(*.f64 x.re #s(literal -1/7625597484987 binary64))
(*.f64 (*.f64 x.re #s(literal -1/7625597484987 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x.re #s(literal -1/7625597484987 binary64)))
(*.f64 (cbrt.f64 (*.f64 x.re #s(literal -1/7625597484987 binary64))) (pow.f64 (cbrt.f64 (*.f64 x.re #s(literal -1/7625597484987 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x.re #s(literal -1/7625597484987 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re #s(literal -1/7625597484987 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) #s(literal -1/7625597484987 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (/.f64 (cbrt.f64 x.re) #s(literal -7625597484987 binary64)))
(*.f64 (sqrt.f64 (*.f64 x.re #s(literal -1/7625597484987 binary64))) (sqrt.f64 (*.f64 x.re #s(literal -1/7625597484987 binary64))))
(*.f64 (sqrt.f64 x.re) (*.f64 (sqrt.f64 x.re) #s(literal -1/7625597484987 binary64)))
(*.f64 (sqrt.f64 x.re) (/.f64 (sqrt.f64 x.re) #s(literal -7625597484987 binary64)))
(*.f64 (neg.f64 x.re) #s(literal 1/7625597484987 binary64))
(*.f64 #s(literal -1/7625597484987 binary64) x.re)
(pow.f64 (*.f64 x.re #s(literal -1/7625597484987 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re #s(literal -1/7625597484987 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re #s(literal -1/7625597484987 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re #s(literal -1/7625597484987 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal -7625597484987 binary64) x.re) #s(literal -1 binary64))
(neg.f64 (/.f64 x.re #s(literal 7625597484987 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 1/58149737003040059690390169 binary64)))
(log.f64 (exp.f64 (*.f64 x.re #s(literal -1/7625597484987 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re #s(literal -1/7625597484987 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x.re #s(literal -1/7625597484987 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re #s(literal -1/7625597484987 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x.re #s(literal -1/7625597484987 binary64))))
(exp.f64 (log.f64 (*.f64 x.re #s(literal -1/7625597484987 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re #s(literal -1/7625597484987 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal -19683 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 729 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) x.re) #s(literal -27 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal -19683 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re #s(literal -27 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re #s(literal -27 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re #s(literal -27 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re #s(literal -27 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re #s(literal -27 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 729 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) #s(literal -27 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re #s(literal -27 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x.re #s(literal -27 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re #s(literal -27 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x.re #s(literal -27 binary64))))
(exp.f64 (log.f64 (*.f64 x.re #s(literal -27 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re #s(literal -27 binary64))) #s(literal 1 binary64)))
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(fma.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

simplify120.0ms (1.2%)

Algorithm
egg-herbie
Rules
81×*-commutative
51×+-commutative
33×sub-neg
25×fma-define
22×unpow2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049510549
1137910549
Stop Event
unsound
Counts
337 → 307
Calls
Call 1
Inputs
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(*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
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(*.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 (cbrt.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (pow.f64 (cbrt.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (sqrt.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal -19683 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re #s(literal -27 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.im))) (-.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re #s(literal -27 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal -19683 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal -19683 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re #s(literal -27 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal -19683 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re #s(literal -27 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (neg.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal -19683 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (+.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 729 binary64)) (-.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 (*.f64 x.re #s(literal -27 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (-.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(pow.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64)))
(fma.f64 x.im (*.f64 x.re #s(literal -27 binary64)) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (*.f64 x.re x.im) #s(literal -27 binary64) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (*.f64 x.re #s(literal -27 binary64)) x.im (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal 2 binary64))
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(fma.f64 #s(literal 1 binary64) (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 x.im (fma.f64 x.re #s(literal -27 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 x.im (fma.f64 x.re #s(literal -27 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (*.f64 x.im x.re) #s(literal -27 binary64) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 x.im (fma.f64 x.re #s(literal -27 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) #s(literal 2 binary64)) #s(literal 0 binary64))

eval62.0ms (0.6%)

Compiler

Compiled 9591 to 1472 computations (84.7% saved)

prune345.0ms (3.4%)

Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New5029511
Fresh5712
Picked235
Done033
Total50922531
Accuracy
100.0%
Counts
531 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.5%
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
62.0%
(pow.f64 x.re #s(literal 3 binary64))
3.2%
(/.f64 x.re #s(literal -7625597484987 binary64))
2.5%
(/.f64 #s(literal -7625597484987 binary64) x.re)
84.0%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
74.3%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
77.2%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
30.2%
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
14.2%
(-.f64 x.re x.re)
4.5%
(-.f64 x.re #s(literal 1 binary64))
86.8%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
45.4%
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)))
2.5%
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 7625597484987 binary64) x.re)))
5.8%
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
45.3%
(*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
38.2%
(*.f64 x.re x.re)
5.6%
(*.f64 x.re #s(literal 7625597484989 binary64))
2.8%
(*.f64 x.re #s(literal -7625597484987 binary64))
30.2%
(*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
2.9%
(neg.f64 x.re)
2.7%
#s(literal 1 binary64)
2.5%
#s(literal -7625597484987 binary64)
Compiler

Compiled 324 to 231 computations (28.7% saved)

simplify171.0ms (1.7%)

Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
cost-diff0
(*.f64 x.re #s(literal -27 binary64))
cost-diff0
(*.f64 x.im (*.f64 x.re #s(literal -27 binary64)))
cost-diff0
(-.f64 #s(literal 2 binary64) x.re)
cost-diff0
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(pow.f64 x.im #s(literal 4 binary64))
cost-diff0
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
Rules
950×fma-neg
745×fma-define
223×cancel-sign-sub-inv
176×distribute-lft-neg-in
145×distribute-rgt-in
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
026457
154435
2141430
3366423
4739418
51402416
62392416
73411416
83547416
93548416
103548416
114074416
124074416
134074416
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re)
(-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
(*.f64 x.re x.re)
x.re
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(pow.f64 x.im #s(literal 4 binary64))
x.im
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
#s(literal 2 binary64)
#s(literal -7625597484987 binary64)
(*.f64 x.re x.re)
x.re
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
x.re
(-.f64 #s(literal 2 binary64) x.re)
#s(literal 2 binary64)
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(*.f64 x.im (*.f64 x.re #s(literal -27 binary64)))
x.im
(*.f64 x.re #s(literal -27 binary64))
x.re
#s(literal -27 binary64)
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
#s(literal 2 binary64)
Outputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))) (*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(*.f64 x.re (-.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (*.f64 x.im (*.f64 x.im #s(literal -2 binary64))) (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))))
(fma.f64 x.re (fma.f64 (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im #s(literal -2 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x.im x.im)) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re)
(*.f64 x.re (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))))
(-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
(*.f64 x.re x.re)
x.re
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(pow.f64 x.im #s(literal 4 binary64))
x.im
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (*.f64 (*.f64 x.im #s(literal 2 binary64)) x.im))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.im)
#s(literal 2 binary64)
#s(literal -7625597484987 binary64)
(*.f64 x.re x.re)
x.re
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
x.re
(-.f64 #s(literal 2 binary64) x.re)
#s(literal 2 binary64)
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (*.f64 x.im (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (*.f64 x.im (fma.f64 x.im #s(literal -2 binary64) #s(literal -27 binary64))))
(*.f64 (*.f64 x.re x.im) (fma.f64 x.im #s(literal -2 binary64) #s(literal -27 binary64)))
(*.f64 x.im (*.f64 x.re #s(literal -27 binary64)))
(*.f64 x.re (*.f64 #s(literal -27 binary64) x.im))
(*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))
x.im
(*.f64 x.re #s(literal -27 binary64))
x.re
#s(literal -27 binary64)
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (*.f64 (*.f64 x.im #s(literal 2 binary64)) x.im))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.im)
#s(literal 2 binary64)

localize99.0ms (1%)

Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
accuracy100.0%
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
accuracy99.8%
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
accuracy99.7%
(*.f64 x.im (*.f64 x.re #s(literal -27 binary64)))
accuracy100.0%
(-.f64 #s(literal 2 binary64) x.re)
accuracy100.0%
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
accuracy100.0%
(*.f64 x.re x.re)
accuracy94.9%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
accuracy94.3%
(-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
accuracy93.7%
(*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re)
accuracy78.5%
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
Results
64.0ms256×0valid
Compiler

Compiled 123 to 21 computations (82.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-mult: 20.0ms (53.8% of total)
ival-pow: 10.0ms (26.9% of total)
ival-sub: 5.0ms (13.4% of total)
ival-sqrt: 2.0ms (5.4% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

series15.0ms (0.1%)

Counts
9 → 156
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))>
#<alt (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))>
#<alt (pow.f64 x.im #s(literal 4 binary64))>
#<alt (*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))>
#<alt (-.f64 #s(literal 2 binary64) x.re)>
#<alt (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))>
#<alt (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re)>
#<alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))>
#<alt (-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))>
Outputs
#<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 (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 2 binary64) x.re)>
#<alt (*.f64 x.re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x.re)))>
#<alt (*.f64 x.re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x.re)))>
#<alt (*.f64 x.re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x.re)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64)))>
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#<alt (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x.re))>
#<alt (*.f64 #s(literal -1 binary64) x.re)>
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#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
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#<alt (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal 27 binary64) x.im) (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal 27 binary64) x.im) (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))))))>
Calls

42 calls:

TimeVariablePointExpression
0.0ms
x.re
@-inf
(* x.re (- 2 x.re))
0.0ms
x.re
@inf
(* x.re (- 2 x.re))
0.0ms
x.im
@0
(pow x.im 4)
0.0ms
x.re
@0
(* x.re (- 2 x.re))
0.0ms
x.re
@-inf
(* (* x.re x.im) 2)

rewrite296.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
1233×log1p-expm1-u
335×expm1-log1p-u
193×associate-*r*
178×add-cube-cbrt
174×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025246
1399224
25690224
Stop Event
node limit
Counts
9 → 274
Calls
Call 1
Inputs
(-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(pow.f64 x.im #s(literal 4 binary64))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(-.f64 #s(literal 2 binary64) x.re)
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re)
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
Outputs
(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (-.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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(fma.f64 #s(literal 1 binary64) (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))) (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))) (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (-.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.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))) (sqrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))) (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(+.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(+.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) (*.f64 (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) (+.f64 (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))) (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))))))
(+.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) (fma.f64 (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64)) x.im (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re x.im) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) (fma.f64 (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))) #s(literal 1 binary64) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))))) (pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))))) (sqrt.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) (+.f64 (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))) (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))))))
(+.f64 (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))) (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(+.f64 (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))) (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))))
(*.f64 x.im (-.f64 (*.f64 x.re #s(literal -27 binary64)) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.im (+.f64 (*.f64 x.re #s(literal -27 binary64)) (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))) (*.f64 (*.f64 x.re x.im) (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))))))
(*.f64 (-.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.re x.im) (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) (sqrt.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))))) (-.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) (sqrt.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))) (*.f64 (*.f64 x.re x.im) (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))) (-.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x.re x.im) (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))) (*.f64 (*.f64 x.re x.im) (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 (*.f64 x.re x.im) (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))) (*.f64 (*.f64 x.re x.im) (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 x.re x.im) (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))) (*.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))) (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))))) (*.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))) (-.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))) (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))) (-.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))))))
(pow.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(fma.f64 x.im (*.f64 x.re #s(literal -27 binary64)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (*.f64 x.re x.im) #s(literal -27 binary64) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (*.f64 x.re #s(literal -27 binary64)) x.im (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))

simplify511.0ms (5%)

Algorithm
egg-herbie
Rules
364×associate-*r*
355×associate-*l*
347×fma-define
294×sub-neg
265×cube-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
066519809
1156117501
2579317411
Stop Event
node limit
Counts
430 → 411
Calls
Call 1
Inputs
(*.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))))))
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(fma.f64 (sqrt.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
(fma.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
Outputs
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 2 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(pow.f64 x.re #s(literal 2 binary64))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (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 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (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 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (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 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (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 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (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 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(pow.f64 x.re #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 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 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 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 #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)))
(neg.f64 (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 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 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 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 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 x.re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x.re)))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(*.f64 x.re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x.re)))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(*.f64 x.re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x.re)))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(*.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(neg.f64 (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x.re) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x.re) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x.re) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x.re)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.re #s(literal 2 binary64)))
(neg.f64 (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x.re) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x.re) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) x.re) #s(literal -1 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x.re)))
#s(literal 2 binary64)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x.re))
(-.f64 #s(literal 2 binary64) x.re)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x.re))
(-.f64 #s(literal 2 binary64) x.re)
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) x.re))
(-.f64 #s(literal 2 binary64) x.re)
(*.f64 #s(literal -1 binary64) x.re)
(neg.f64 x.re)
(*.f64 x.re (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64)))
(*.f64 x.re (+.f64 (/.f64 #s(literal 2 binary64) x.re) #s(literal -1 binary64)))
(*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x.re)))
(*.f64 x.re (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64)))
(*.f64 x.re (+.f64 (/.f64 #s(literal 2 binary64) x.re) #s(literal -1 binary64)))
(*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x.re)))
(*.f64 x.re (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x.re)) #s(literal 1 binary64)))
(*.f64 x.re (+.f64 (/.f64 #s(literal 2 binary64) x.re) #s(literal -1 binary64)))
(*.f64 x.re (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x.re)))
(*.f64 #s(literal -1 binary64) x.re)
(neg.f64 x.re)
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(*.f64 (neg.f64 x.re) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x.re)))
(*.f64 x.re (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x.re))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(*.f64 (neg.f64 x.re) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x.re)))
(*.f64 x.re (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x.re))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(*.f64 (neg.f64 x.re) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x.re)))
(*.f64 x.re (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x.re))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(neg.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (neg.f64 x.re))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 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))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 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))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 (pow.f64 x.re #s(literal 3 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 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (-.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 3 binary64)))
(*.f64 (pow.f64 x.re #s(literal 3 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 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (-.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 3 binary64)))
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(/.f64 (-.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))) (-.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64)))))
(*.f64 (-.f64 (pow.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.re)) (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 729 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) #s(literal 2 binary64))) (*.f64 x.im (*.f64 x.re (fma.f64 x.im #s(literal 2 binary64) #s(literal -27 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 729 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (pow.f64 x.im #s(literal 4 binary64))))) (*.f64 x.im (*.f64 x.re (fma.f64 x.im #s(literal 2 binary64) #s(literal -27 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))) (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))) (-.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.im x.re) (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 x.im) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))))) (fma.f64 (neg.f64 x.im) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))))))) (-.f64 (*.f64 (*.f64 x.im x.re) (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64)))) (fma.f64 (neg.f64 x.im) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (+.f64 (*.f64 (fma.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))) (fma.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))) (pow.f64 (*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))) (fma.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) (fma.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))))
(pow.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x.im (fma.f64 x.re #s(literal -27 binary64) (*.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(*.f64 x.im (fma.f64 x.re #s(literal -27 binary64) (*.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 x.im (fma.f64 x.re #s(literal -27 binary64) (*.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(*.f64 x.im (fma.f64 x.re #s(literal -27 binary64) (*.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 x.im (fma.f64 x.re #s(literal -27 binary64) (*.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(log.f64 (exp.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))))
(*.f64 x.im (fma.f64 x.re #s(literal -27 binary64) (*.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))))
(*.f64 x.im (fma.f64 x.re #s(literal -27 binary64) (*.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 x.im (fma.f64 x.re #s(literal -27 binary64) (*.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 x.im x.re) (+.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal -2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))))
(*.f64 x.im (fma.f64 x.re #s(literal -27 binary64) (*.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))))
(*.f64 x.im (fma.f64 x.re #s(literal -27 binary64) (*.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(*.f64 x.im (fma.f64 x.re #s(literal -27 binary64) (*.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.im (*.f64 x.re #s(literal -27 binary64)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(*.f64 x.im (fma.f64 x.re #s(literal -27 binary64) (*.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (*.f64 x.re x.im) #s(literal -27 binary64) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(*.f64 x.im (fma.f64 x.re #s(literal -27 binary64) (*.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (*.f64 x.re #s(literal -27 binary64)) x.im (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(*.f64 x.im (fma.f64 x.re #s(literal -27 binary64) (*.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 x.im #s(literal -27 binary64))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(*.f64 x.im (fma.f64 x.re #s(literal -27 binary64) (*.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
(fma.f64 x.re (*.f64 x.im #s(literal -27 binary64)) (fma.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -2 binary64))) (fma.f64 (neg.f64 x.im) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(fma.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) (fma.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
(fma.f64 x.re (*.f64 x.im #s(literal -27 binary64)) (fma.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -2 binary64))) (fma.f64 (neg.f64 x.im) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(fma.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) (fma.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(*.f64 x.im (fma.f64 x.re #s(literal -27 binary64) (*.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))) (fma.f64 (neg.f64 x.im) (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))))
(fma.f64 x.re (*.f64 x.im #s(literal -27 binary64)) (fma.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -2 binary64))) (fma.f64 (neg.f64 x.im) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(fma.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))) (fma.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))))
(fma.f64 (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) (sqrt.f64 (*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(*.f64 x.im (fma.f64 x.re #s(literal -27 binary64) (*.f64 x.re (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))

eval70.0ms (0.7%)

Compiler

Compiled 11489 to 1637 computations (85.8% saved)

prune381.0ms (3.7%)

Pruning

25 alts after pruning (16 fresh and 9 done)

PrunedKeptTotal
New5486554
Fresh11011
Picked235
Done066
Total55125576
Accuracy
100.0%
Counts
576 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.5%
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
62.0%
(pow.f64 x.re #s(literal 3 binary64))
3.2%
(/.f64 x.re #s(literal -7625597484987 binary64))
2.5%
(/.f64 #s(literal -7625597484987 binary64) x.re)
84.0%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
74.3%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
77.2%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
14.2%
(-.f64 x.re x.re)
4.5%
(-.f64 x.re #s(literal 1 binary64))
86.8%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
45.4%
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)))
30.2%
(*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))
2.5%
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 7625597484987 binary64) x.re)))
45.3%
(*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
29.4%
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
19.1%
(*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))
15.6%
(*.f64 x.re (neg.f64 x.re))
38.2%
(*.f64 x.re x.re)
5.6%
(*.f64 x.re #s(literal 7625597484989 binary64))
2.8%
(*.f64 x.re #s(literal -7625597484987 binary64))
19.1%
(*.f64 x.im (*.f64 x.re #s(literal -27 binary64)))
19.1%
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
2.9%
(neg.f64 x.re)
2.7%
#s(literal 1 binary64)
2.5%
#s(literal -7625597484987 binary64)
Compiler

Compiled 579 to 252 computations (56.5% saved)

regimes39.0ms (0.4%)

Counts
42 → 3
Calls
Call 1
Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re (neg.f64 x.re))
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal -27 binary64)))
(*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 7625597484987 binary64) x.re)))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
Outputs
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 x.re x.re)
Calls

3 calls:

13.0ms
x.re
13.0ms
x.im
10.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
96.8%3x.re
92.1%2x.im
93.2%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes34.0ms (0.3%)

Counts
38 → 2
Calls
Call 1
Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re (neg.f64 x.re))
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal -27 binary64)))
(*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 7625597484987 binary64) x.re)))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
Outputs
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 x.re x.re)
Calls

3 calls:

12.0ms
x.re
10.0ms
x.im
9.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
87.5%1x.im
90.3%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
90.6%2x.re
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes58.0ms (0.6%)

Counts
28 → 2
Calls
Call 1
Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re (neg.f64 x.re))
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal -27 binary64)))
(*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 7625597484987 binary64) x.re)))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Outputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(*.f64 x.re x.re)
Calls

1 calls:

56.0ms
x.re
Results
AccuracySegmentsBranch
89.8%2x.re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts
26 → 2
Calls
Call 1
Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re (neg.f64 x.re))
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal -27 binary64)))
(*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 7625597484987 binary64) x.re)))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 1/4 binary64))
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64)))
Outputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
(*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))
Calls

2 calls:

8.0ms
x.re
8.0ms
x.im
Results
AccuracySegmentsBranch
78.7%2x.im
77.1%2x.re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes121.0ms (1.2%)

Counts
20 → 2
Calls
Call 1
Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re (neg.f64 x.re))
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal -27 binary64)))
(*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 7625597484987 binary64) x.re)))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
Outputs
(*.f64 x.re x.re)
(*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))
Calls

2 calls:

114.0ms
x.re
6.0ms
x.im
Results
AccuracySegmentsBranch
52.3%2x.re
52.6%2x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts
18 → 2
Calls
Call 1
Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re (neg.f64 x.re))
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal -27 binary64)))
(*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 7625597484987 binary64) x.re)))
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
Outputs
(*.f64 x.re x.re)
(*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
Calls

2 calls:

6.0ms
x.re
6.0ms
x.im
Results
AccuracySegmentsBranch
51.4%2x.re
51.7%2x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
17 → 2
Calls
Call 1
Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re (neg.f64 x.re))
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal -27 binary64)))
(*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))
(*.f64 x.re (-.f64 #s(literal 2 binary64) x.re))
(*.f64 (neg.f64 x.re) (+.f64 #s(literal 0 binary64) (/.f64 #s(literal 7625597484987 binary64) x.re)))
Outputs
(*.f64 x.re x.re)
(*.f64 x.im (*.f64 x.re #s(literal -27 binary64)))
Calls

2 calls:

7.0ms
x.im
6.0ms
x.re
Results
AccuracySegmentsBranch
43.5%3x.re
44.3%2x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
13 → 2
Calls
Call 1
Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re (neg.f64 x.re))
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
Outputs
(*.f64 x.re x.re)
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
Calls

1 calls:

4.0ms
x.im
Results
AccuracySegmentsBranch
44.3%2x.im
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
12 → 2
Calls
Call 1
Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re (neg.f64 x.re))
Outputs
(*.f64 x.re x.re)
(*.f64 x.re (neg.f64 x.re))
Calls

2 calls:

5.0ms
x.re
4.0ms
x.im
Results
AccuracySegmentsBranch
40.2%2x.re
40.9%2x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
11 → 2
Calls
Call 1
Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
(-.f64 x.re x.re)
(/.f64 #s(literal -7625597484987 binary64) x.re)
(/.f64 x.re #s(literal -7625597484987 binary64))
Outputs
(-.f64 x.re x.re)
(*.f64 x.re x.re)
Calls

2 calls:

4.0ms
x.im
4.0ms
x.re
Results
AccuracySegmentsBranch
40.2%2x.re
38.2%1x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
8 → 1
Calls
Call 1
Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
(*.f64 x.re x.re)
(-.f64 #s(literal -7625597484987 binary64) x.re)
(-.f64 x.re #s(literal 1 binary64))
Outputs
(*.f64 x.re x.re)
Calls

1 calls:

3.0ms
x.re
Results
AccuracySegmentsBranch
38.2%1x.re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
(*.f64 x.re #s(literal 7625597484989 binary64))
Outputs
(*.f64 x.re #s(literal 7625597484989 binary64))
Calls

2 calls:

9.0ms
x.re
2.0ms
x.im
Results
AccuracySegmentsBranch
5.6%1x.im
5.6%1x.re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
(neg.f64 x.re)
(*.f64 x.re #s(literal -7625597484987 binary64))
Outputs
(neg.f64 x.re)
Calls

2 calls:

2.0ms
x.re
2.0ms
x.im
Results
AccuracySegmentsBranch
2.9%1x.im
2.9%1x.re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal -7625597484987 binary64)
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

2 calls:

2.0ms
x.im
2.0ms
x.re
Results
AccuracySegmentsBranch
2.7%1x.im
2.7%1x.re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -7625597484987 binary64)
Outputs
#s(literal -7625597484987 binary64)
Calls

2 calls:

1.0ms
x.re
1.0ms
x.im
Results
AccuracySegmentsBranch
2.5%1x.im
2.5%1x.re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
predicate-same
Steps
TimeLeftRight
11.0ms
8.630028211405582e+170
6.844469411182077e+171
5.0ms
3.5833713722669565e+47
6.8317846416013975e+47
Results
11.0ms128×0valid
Compiler

Compiled 264 to 153 computations (42% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (68.1% of total)
ival-sub: 1.0ms (13.6% of total)
ival-add: 1.0ms (13.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
8.630028211405582e+170
6.844469411182077e+171
Results
10.0ms96×0valid
Compiler

Compiled 194 to 111 computations (42.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (79.4% of total)
ival-sub: 1.0ms (13.2% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch15.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
5.070830528118246e+152
3.296846299850445e+154
Results
9.0ms112×0valid
Compiler

Compiled 208 to 127 computations (38.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (79.7% of total)
ival-sub: 1.0ms (15.9% of total)
ival-add: 1.0ms (15.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
2.640802965906645e+135
4.224792296861815e+138
Results
11.0ms128×0valid
Compiler

Compiled 234 to 159 computations (32.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (69.3% of total)
ival-sub: 1.0ms (13.9% of total)
ival-add: 1.0ms (13.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
1.8907381667824632e+79
8.871643443879494e+80
Results
12.0ms112×0valid
Compiler

Compiled 152 to 106 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 7.0ms (78.5% of total)
ival-sub: 1.0ms (11.2% of total)
ival-add: 1.0ms (11.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
17.0ms
1.8907381667824632e+79
8.871643443879494e+80
Results
13.0ms112×0valid
Compiler

Compiled 152 to 106 computations (30.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 8.0ms (79.8% of total)
ival-sub: 1.0ms (10% of total)
ival-add: 1.0ms (10% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch21.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
19.0ms
3.7072107377366363e+167
7.145492577499858e+170
Results
11.0ms128×0valid
Compiler

Compiled 138 to 95 computations (31.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (68.8% of total)
ival-sub: 1.0ms (13.8% of total)
ival-add: 1.0ms (13.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch16.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
3.7072107377366363e+167
7.145492577499858e+170
Results
11.0ms128×0valid
Compiler

Compiled 138 to 95 computations (31.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (69.7% of total)
ival-sub: 1.0ms (13.9% of total)
ival-add: 1.0ms (13.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch114.0ms (1.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
112.0ms
4.119031445100336e+177
7.75071889678275e+178
Results
10.0ms112×0valid
Compiler

Compiled 117 to 78 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (78.1% of total)
ival-sub: 1.0ms (15.6% of total)
ival-add: 1.0ms (15.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch10.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
9.0ms
9.721698452945137e-56
2.1042133147686467e-55
Results
7.0ms80×0valid
Compiler

Compiled 86 to 55 computations (36% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (66.4% of total)
ival-sub: 1.0ms (22.1% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify19.0ms (0.2%)

Algorithm
egg-herbie
Rules
29×*-commutative
21×+-commutative
19×sub-neg
12×neg-sub0
12×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
085774
1138774
2185774
3216774
4228774
5230774
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x.re #s(literal 600000000000000026307505827045718412780428591104 binary64)) (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (if (<=.f64 x.re #s(literal 6199999999999999757532667099688906031381403819441132008884568255712661231082060661801343458013582082483098965604423679273742388374433474990256177882835241758885799578828800 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 5399999999999999622734960212698166987447493671415021009284092509572993425592517531596093090907247649520127147588016874432864869112872912803078251711260279614819205493293056 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (*.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (*.f64 x.re x.re))
(if (<=.f64 x.im #s(literal 4200000000000000137934562454660689531745452778710369121151716390286737428974909581284805525636455133272587920094154229430323660663688265728 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64)) (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(if (<=.f64 x.im #s(literal 880000000000000010765395976289350703320943898761610351953070941645621003894652928 binary64)) (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(if (<=.f64 x.im #s(literal 579999999999999971193457006455303861989476313841595805073014234079235006779097088 binary64)) (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))))
(if (<=.f64 x.im #s(literal 700000000000000010685530086576119866849971393876078104815489713133062308014858689155481830629666814427605955429128532715512963861977085083749622904555532304589077776171008 binary64)) (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))))
(if (<=.f64 x.im #s(literal 2100000000000000028704638277242710325656407932076772782576627684251088579613685706536004484370613699082349291745659741224030927039309742537810398010679954427158821076992 binary64)) (*.f64 x.re x.re) (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re)))
(if (<=.f64 x.im #s(literal 7899999999999999946374101102807217572128297322657369119898748118821939006976858350787447506566669003450861107964727276893408161441174830066208845617460794587849777767518373412864 binary64)) (*.f64 x.re x.re) (*.f64 x.re (neg.f64 x.re)))
(if (<=.f64 x.re #s(literal 2898733465652037/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (-.f64 x.re x.re) (*.f64 x.re x.re))
(*.f64 x.re x.re)
(*.f64 x.re #s(literal 7625597484989 binary64))
(neg.f64 x.re)
#s(literal 1 binary64)
#s(literal -7625597484987 binary64)
Outputs
(if (<=.f64 x.re #s(literal 600000000000000026307505827045718412780428591104 binary64)) (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (if (<=.f64 x.re #s(literal 6199999999999999757532667099688906031381403819441132008884568255712661231082060661801343458013582082483098965604423679273742388374433474990256177882835241758885799578828800 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 600000000000000026307505827045718412780428591104 binary64)) (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (if (<=.f64 x.re #s(literal 6199999999999999757532667099688906031381403819441132008884568255712661231082060661801343458013582082483098965604423679273742388374433474990256177882835241758885799578828800 binary64)) (-.f64 (*.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (*.f64 x.im (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) (*.f64 x.re x.re)))
(if (<=.f64 x.re #s(literal 5399999999999999622734960212698166987447493671415021009284092509572993425592517531596093090907247649520127147588016874432864869112872912803078251711260279614819205493293056 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (*.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 5399999999999999622734960212698166987447493671415021009284092509572993425592517531596093090907247649520127147588016874432864869112872912803078251711260279614819205493293056 binary64)) (-.f64 (*.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (*.f64 x.im (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) (*.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (*.f64 x.re x.re))
(if (<=.f64 x.re #s(literal 13199999999999999773196063550815192655340841269168371305534464478777571651222204465790151517816444445650545021209011632002935604597533337723926189038370816 binary64)) (-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) (*.f64 x.re x.re))
(if (<=.f64 x.im #s(literal 4200000000000000137934562454660689531745452778710369121151716390286737428974909581284805525636455133272587920094154229430323660663688265728 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64)) (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(if (<=.f64 x.im #s(literal 4200000000000000137934562454660689531745452778710369121151716390286737428974909581284805525636455133272587920094154229430323660663688265728 binary64)) (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(if (<=.f64 x.im #s(literal 880000000000000010765395976289350703320943898761610351953070941645621003894652928 binary64)) (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.im) (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64)))))
(if (<=.f64 x.im #s(literal 579999999999999971193457006455303861989476313841595805073014234079235006779097088 binary64)) (*.f64 x.re x.re) (*.f64 x.re (*.f64 x.im (-.f64 #s(literal -27 binary64) (*.f64 x.im #s(literal 2 binary64))))))
(if (<=.f64 x.im #s(literal 700000000000000010685530086576119866849971393876078104815489713133062308014858689155481830629666814427605955429128532715512963861977085083749622904555532304589077776171008 binary64)) (*.f64 x.re x.re) (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))))
(if (<=.f64 x.im #s(literal 2100000000000000028704638277242710325656407932076772782576627684251088579613685706536004484370613699082349291745659741224030927039309742537810398010679954427158821076992 binary64)) (*.f64 x.re x.re) (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re)))
(if (<=.f64 x.im #s(literal 2100000000000000028704638277242710325656407932076772782576627684251088579613685706536004484370613699082349291745659741224030927039309742537810398010679954427158821076992 binary64)) (*.f64 x.re x.re) (*.f64 (*.f64 x.re x.im) #s(literal -27 binary64)))
(if (<=.f64 x.im #s(literal 7899999999999999946374101102807217572128297322657369119898748118821939006976858350787447506566669003450861107964727276893408161441174830066208845617460794587849777767518373412864 binary64)) (*.f64 x.re x.re) (*.f64 x.re (neg.f64 x.re)))
(if (<=.f64 x.re #s(literal 2898733465652037/27606985387162255149739023449108101809804435888681546220650096895197184 binary64)) (-.f64 x.re x.re) (*.f64 x.re x.re))
(*.f64 x.re x.re)
(*.f64 x.re #s(literal 7625597484989 binary64))
(neg.f64 x.re)
#s(literal 1 binary64)
#s(literal -7625597484987 binary64)

soundness2.7s (26.4%)

Rules
1233×log1p-expm1-u
1032×unsub-neg
743×log1p-expm1-u
715×fma-neg
679×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035521
1569521
025246
1399224
25690224
032503
1566420
27105420
08573407
128893407
021912035
158711060
2170410544
3528110240
066519809
1156117501
2579317411
042591
1149519
2395483
31504301
44596301
56840301
67603301
026204
1476147
26927147
049510549
1137910549
Stop Event
fuel
unsound
node limit
node limit
node limit
node limit
unsound
node limit
node limit
node limit
Compiler

Compiled 1246 to 368 computations (70.5% saved)

preprocess102.0ms (1%)

Remove

(abs x.im)

Compiler

Compiled 986 to 452 computations (54.2% saved)

end0.0ms (0%)

Profiling

Loading profile data...