math.cube on complex, real part

Time bar (total: 5.8s)

analyze0.0ms (0%)

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

Compiled 22 to 12 computations (45.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
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)

sample1.2s (20.5%)

Results
907.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 654.0ms
ival-mult: 503.0ms (76.9% of total)
ival-sub: 97.0ms (14.8% of total)
ival-add: 43.0ms (6.6% of total)
const: 8.0ms (1.2% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess131.0ms (2.2%)

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)

explain107.0ms (1.8%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
220-0-(-.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))
170-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
170-0-(-.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
64.0ms512×256valid
Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-mult: 25.0ms (76.5% of total)
ival-sub: 5.0ms (15.3% of total)
ival-add: 2.0ms (6.1% of total)
const: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 75 to 33 computations (56% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
82.7%
(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)))
82.7%
(-.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))
81.9%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
81.9%
(+.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)

localize164.0ms (2.8%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
94.2%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
90.1%
(*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
86.8%
(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)))
99.7%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
94.2%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
93.6%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
93.0%
(-.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))
99.7%
(*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
90.1%
(*.f64 x.re (*.f64 x.im x.im))
90.0%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
99.7%
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))
90.1%
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
90.0%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
Results
119.0ms256×256valid
Compiler

Compiled 181 to 59 computations (67.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 54.0ms (62.7% of total)
ival-pow: 17.0ms (19.7% of total)
ival-add: 5.0ms (5.8% of total)
ival-sub: 4.0ms (4.6% of total)
<compiled-spec>: 4.0ms (4.6% of total)
const: 2.0ms (2.3% of total)

series37.0ms (0.6%)

Counts
13 → 300
Calls
Call 1
Inputs
#<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 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 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))>
#<alt (*.f64 x.re (*.f64 x.im x.im))>
#<alt (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))>
#<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 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)>
#<alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))>
#<alt (*.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.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))>
#<alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))>
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 #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))>
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#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
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Calls

75 calls:

TimeVariablePointExpression
4.0ms
x.re
@0
(+ (pow x.re 3) (* x.re (* x.im (* x.im -3))))
3.0ms
x.re
@inf
(* (+ (* x.re x.im) (* x.im x.re)) x.im)
1.0ms
x.im
@inf
(+ (* x.re (- (* x.re x.re) (* x.im x.im))) (* x.re (* (* x.im -2) x.im)))
1.0ms
x.re
@-inf
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms
x.im
@0
(* x.im (* x.im -3))

rewrite560.0ms (9.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
032451
1566388
27104388
Stop Event
node limit
Counts
13 → 367
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)))))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(*.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 x.re (*.f64 x.im x.im))
(*.f64 (*.f64 x.re (*.f64 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 (+.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.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #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 (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))) #s(literal 1 binary64))
(*.f64 #s(literal 1 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 (cbrt.f64 (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)))) (cbrt.f64 (pow.f64 (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))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (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))) #s(literal 2 binary64))) (cbrt.f64 (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 (sqrt.f64 (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)))) (sqrt.f64 (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 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))) (+.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 9 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (pow.f64 x.re #s(literal 6 binary64))) (-.f64 (*.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 (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))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (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)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (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))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (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)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (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))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (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)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (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))))))
(cbrt.f64 (pow.f64 (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))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (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)))))
(log1p.f64 (expm1.f64 (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)))))
(exp.f64 (log.f64 (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)))))
(exp.f64 (*.f64 (log.f64 (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)))) #s(literal 1 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)))
(fma.f64 x.re (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)))) (cbrt.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 (*.f64 x.im (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 x.re)) (*.f64 (*.f64 x.im (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 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 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64)) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 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 (pow.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.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 (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))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #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 (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))) #s(literal 1 binary64))
(*.f64 #s(literal 1 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 (cbrt.f64 (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)))) (cbrt.f64 (pow.f64 (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))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (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))) #s(literal 2 binary64))) (cbrt.f64 (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 (sqrt.f64 (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)))) (sqrt.f64 (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 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))) (+.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 9 binary64)))))
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(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (neg.f64 (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))) (-.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x.re x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))

simplify212.0ms (3.6%)

Algorithm
egg-herbie
Rules
102×*-commutative
66×+-commutative
44×sub-neg
34×fma-undefine
26×cube-mult
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063927439
1162727439
Stop Event
unsound
Counts
667 → 388
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 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #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 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 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
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(sqrt.f64 (pow.f64 (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(+.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (neg.f64 (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))) (-.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x.re x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
Outputs
(*.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))))
(fma.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 (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(fma.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 (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (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 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (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 0 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (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 0 binary64) (/.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 #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))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.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))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.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))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.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)))
(fma.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)))
(fma.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)))
(fma.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)) (fma.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)) (fma.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)) (fma.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)) (fma.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)) (fma.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)) (fma.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 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
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(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 x.re x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal 0 binary64) (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))

eval133.0ms (2.3%)

Compiler

Compiled 10314 to 6519 computations (36.8% saved)

prune83.0ms (1.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New4489457
Fresh000
Picked224
Done000
Total45011461
Accuracy
100.0%
Counts
461 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.9%
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
82.7%
(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)))
59.0%
(pow.f64 x.re #s(literal 3 binary64))
72.1%
(-.f64 (*.f64 (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
65.0%
(-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
68.6%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
85.0%
(-.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))
88.0%
(+.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)))
81.9%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
50.0%
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
49.9%
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
Compiler

Compiled 295 to 187 computations (36.6% saved)

localize203.0ms (3.5%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))
99.7%
(*.f64 x.im (sqrt.f64 x.re))
99.6%
(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))
90.0%
(+.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)))
90.1%
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
94.2%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
93.6%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
90.5%
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
Results
128.0ms256×256valid
Compiler

Compiled 138 to 66 computations (52.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-pow: 32.0ms (40% of total)
ival-mult: 27.0ms (33.8% of total)
ival-add: 6.0ms (7.5% of total)
ival-sub: 5.0ms (6.3% of total)
<compiled-spec>: 4.0ms (5% of total)
const: 4.0ms (5% of total)
ival-sqrt: 2.0ms (2.5% of total)

series17.0ms (0.3%)

Counts
6 → 112
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 (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.re #s(literal 3 binary64)) (*.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 (sqrt.f64 x.re))>
#<alt (*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))>
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 #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 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 (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 (*.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)))>
#<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)))))>
Calls

36 calls:

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

rewrite138.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
747×log1p-expm1-u
747×expm1-log1p-u
444×fma-neg
171×associate-*r*
155×add-exp-log
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027170
1377142
25285134
Stop Event
node limit
Counts
6 → 229
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 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
(+.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 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))
(*.f64 x.im (sqrt.f64 x.re))
(*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64))
Outputs
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(*.f64 (hypot.f64 (*.f64 x.im (sqrt.f64 x.re)) (pow.f64 x.re #s(literal 3/2 binary64))) (hypot.f64 (*.f64 x.im (sqrt.f64 x.re)) (pow.f64 x.re #s(literal 3/2 binary64))))
(*.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))))) (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(pow.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (*.f64 x.im (sqrt.f64 x.re)) (pow.f64 x.re #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (log.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal 2 binary64))))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 x.re #s(literal 2 binary64) (*.f64 x.re #s(literal 2 binary64)))))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (*.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (fma.f64 x.re #s(literal 2 binary64) (*.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
(/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 x.re x.im)) (log.f64 (*.f64 x.im #s(literal -3 binary64)))))
(-.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(*.f64 (hypot.f64 (*.f64 x.im (sqrt.f64 x.re)) (pow.f64 x.re #s(literal 3/2 binary64))) (hypot.f64 (*.f64 x.im (sqrt.f64 x.re)) (pow.f64 x.re #s(literal 3/2 binary64))))
(*.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))))) (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(pow.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (*.f64 x.im (sqrt.f64 x.re)) (pow.f64 x.re #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
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simplify206.0ms (3.5%)

Algorithm
egg-herbie
Rules
713×fma-define
627×times-frac
402×exp-prod
350×cube-prod
250×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032911285
171710774
2216310526
3678110526
Stop Event
node limit
Counts
341 → 208
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 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.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 (*.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))))
(*.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))))
(*.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))))
(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 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(*.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)) (*.f64 x.re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))
(*.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)))
(*.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)))
(*.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)))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(*.f64 (hypot.f64 (*.f64 x.im (sqrt.f64 x.re)) (pow.f64 x.re #s(literal 3/2 binary64))) (hypot.f64 (*.f64 x.im (sqrt.f64 x.re)) (pow.f64 x.re #s(literal 3/2 binary64))))
(*.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))))) (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(pow.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
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(*.f64 (sqrt.f64 x.re) (*.f64 x.im (*.f64 x.im (sqrt.f64 x.re))))
(*.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64))
(*.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (*.f64 x.re x.im)) (*.f64 x.im #s(literal -3 binary64))))
(*.f64 (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (*.f64 x.im (sqrt.f64 x.re))) (*.f64 x.im (sqrt.f64 x.re))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64))) (*.f64 (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal -3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 x.re x.im)) (*.f64 (sqrt.f64 (*.f64 x.re x.im)) (*.f64 x.im #s(literal -3 binary64))))
(*.f64 (sqrt.f64 (*.f64 x.im (sqrt.f64 x.re))) (*.f64 (sqrt.f64 (*.f64 x.im (sqrt.f64 x.re))) (*.f64 x.im (sqrt.f64 x.re))))
(*.f64 (*.f64 x.im (sqrt.f64 x.re)) (*.f64 x.im (sqrt.f64 x.re)))
(*.f64 (*.f64 x.im (sqrt.f64 x.re)) (*.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal -3 binary64)))
(*.f64 (*.f64 (*.f64 x.im (sqrt.f64 x.re)) (sqrt.f64 (*.f64 x.im (sqrt.f64 x.re)))) (sqrt.f64 (*.f64 x.im (sqrt.f64 x.re))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x.re x.im)) (sqrt.f64 (*.f64 x.im #s(literal -3 binary64)))) (*.f64 (sqrt.f64 (*.f64 x.re x.im)) (sqrt.f64 (*.f64 x.im #s(literal -3 binary64)))))
(*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re))) (*.f64 x.im (sqrt.f64 x.re)))
(*.f64 (*.f64 #s(literal -3 binary64) (cbrt.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)))) (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal -3 binary64)) x.im)
(*.f64 (*.f64 (*.f64 x.re x.im) (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 9 binary64)))) (cbrt.f64 (*.f64 x.im #s(literal -3 binary64))))
(*.f64 (*.f64 (*.f64 x.re x.im) (sqrt.f64 (*.f64 x.im #s(literal -3 binary64)))) (sqrt.f64 (*.f64 x.im #s(literal -3 binary64))))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (sqrt.f64 x.re)) (sqrt.f64 x.re))
(*.f64 (*.f64 x.re (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)))
(*.f64 (*.f64 (*.f64 x.im (sqrt.f64 x.re)) x.im) (sqrt.f64 x.re))
(*.f64 (*.f64 (*.f64 x.im (sqrt.f64 x.re)) (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) (cbrt.f64 (*.f64 x.im (sqrt.f64 x.re))))
(/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
(/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 x.re x.im)) (log.f64 (*.f64 x.im #s(literal -3 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (sqrt.f64 x.re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (sqrt.f64 x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (sqrt.f64 x.re))) #s(literal 2 binary64))
(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(fabs.f64 (*.f64 x.im (sqrt.f64 x.re)))
(log.f64 (pow.f64 (exp.f64 x.im) (sqrt.f64 x.re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (sqrt.f64 x.re)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (sqrt.f64 x.re))))
(log1p.f64 (expm1.f64 (*.f64 x.im (sqrt.f64 x.re))))
(exp.f64 (log.f64 (*.f64 x.im (sqrt.f64 x.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (sqrt.f64 x.re))) #s(literal 1 binary64)))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal 2 binary64))))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 x.re #s(literal 2 binary64) (*.f64 x.re #s(literal 2 binary64)))))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (*.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (fma.f64 x.re #s(literal 2 binary64) (*.f64 x.re #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
(/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 x.re x.im)) (log.f64 (*.f64 x.im #s(literal -3 binary64)))))
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)))
(fma.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 (+.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)))
(fma.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 (+.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)))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (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)))
(fma.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 (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)))
(fma.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 (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)))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (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))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.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 (fma.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)) (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.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))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.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 (fma.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)) (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.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))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.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 (fma.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)) (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (neg.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)))
(fma.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 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)))
(fma.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 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)))
(fma.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 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))
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(cbrt.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.re 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 x.re) #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -27 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal 3 binary64)) #s(literal -27 binary64)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64))) #s(literal -27 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(expm1.f64 (log1p.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(log1p.f64 (expm1.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(exp.f64 (log.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(exp.f64 (+.f64 (log.f64 (*.f64 x.re x.im)) (log.f64 (*.f64 x.im #s(literal -3 binary64)))))
(*.f64 x.re (*.f64 #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 #s(literal -3 binary64) x.re))

eval74.0ms (1.3%)

Compiler

Compiled 4989 to 3341 computations (33% saved)

prune56.0ms (1%)

Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New3067313
Fresh224
Picked325
Done022
Total31113324
Accuracy
100.0%
Counts
324 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.1%
(fma.f64 (*.f64 x.im (sqrt.f64 x.re)) (*.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
82.7%
(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)))
88.9%
(fma.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
59.0%
(pow.f64 x.re #s(literal 3 binary64))
72.1%
(-.f64 (*.f64 (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
85.0%
(-.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))
75.3%
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(literal 0 binary64))
88.0%
(+.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)))
84.4%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x.im (sqrt.f64 x.re)) x.im) (sqrt.f64 x.re)) #s(literal -3 binary64)))
88.1%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x.re x.im) x.im) #s(literal -3 binary64)))
81.9%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
50.0%
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
50.0%
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
Compiler

Compiled 326 to 204 computations (37.4% saved)

localize222.0ms (3.8%)

Localize:

Found 13 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 (*.f64 (*.f64 (*.f64 x.im (sqrt.f64 x.re)) x.im) (sqrt.f64 x.re)) #s(literal -3 binary64))
99.7%
(*.f64 x.im (sqrt.f64 x.re))
94.0%
(*.f64 (*.f64 (*.f64 x.im (sqrt.f64 x.re)) x.im) (sqrt.f64 x.re))
90.0%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x.im (sqrt.f64 x.re)) x.im) (sqrt.f64 x.re)) #s(literal -3 binary64)))
99.7%
(*.f64 (*.f64 x.re x.im) x.im)
99.7%
(*.f64 (*.f64 (*.f64 x.re x.im) x.im) #s(literal -3 binary64))
90.0%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x.re x.im) x.im) #s(literal -3 binary64)))
99.7%
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
90.1%
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
93.6%
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
99.7%
(*.f64 x.im (sqrt.f64 x.re))
99.7%
(*.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal -3 binary64))
93.9%
(fma.f64 (*.f64 x.im (sqrt.f64 x.re)) (*.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
Results
173.0ms256×256valid
Compiler

Compiled 178 to 62 computations (65.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 135.0ms
ival-sqrt: 61.0ms (45% of total)
ival-pow: 31.0ms (22.9% of total)
ival-mult: 28.0ms (20.7% of total)
ival-add: 5.0ms (3.7% of total)
<compiled-spec>: 4.0ms (3% of total)
const: 3.0ms (2.2% of total)
ival-sub: 2.0ms (1.5% of total)

series26.0ms (0.4%)

Counts
11 → 240
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 x.im (sqrt.f64 x.re)) (*.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal -3 binary64))>
#<alt (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)>
#<alt (*.f64 x.re (*.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 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x.re x.im) x.im) #s(literal -3 binary64)))>
#<alt (*.f64 (*.f64 (*.f64 x.re x.im) x.im) #s(literal -3 binary64))>
#<alt (*.f64 (*.f64 x.re x.im) x.im)>
#<alt (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x.im (sqrt.f64 x.re)) x.im) (sqrt.f64 x.re)) #s(literal -3 binary64)))>
#<alt (*.f64 (*.f64 (*.f64 x.im (sqrt.f64 x.re)) x.im) (sqrt.f64 x.re))>
#<alt (*.f64 (*.f64 (*.f64 (*.f64 x.im (sqrt.f64 x.re)) x.im) (sqrt.f64 x.re)) #s(literal -3 binary64))>
Outputs
#<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 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 (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im (sqrt.f64 x.re)))>
#<alt (*.f64 #s(literal 3 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 3 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 3 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 3 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 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))))))>
#<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 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im 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 (*.f64 #s(literal -1 binary64) x.im)) 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 x.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))) 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 x.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))) x.re)) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im x.re)) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im x.re)) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im) (/.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 -1 binary64) x.re) (+.f64 (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (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 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) x.im))))>
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#<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)))))>
Calls

63 calls:

TimeVariablePointExpression
4.0ms
x.im
@0
(* (* (- x.re x.im) (+ x.re x.im)) x.re)
3.0ms
x.im
@inf
(* (* (- x.re x.im) (+ x.re x.im)) x.re)
1.0ms
x.re
@0
(* (* (- x.re x.im) (+ x.re x.im)) x.re)
1.0ms
x.re
@inf
(* (* (- x.re x.im) (+ x.re x.im)) x.re)
0.0ms
x.re
@-inf
(* (* (- x.re x.im) (+ x.re x.im)) x.re)

rewrite190.0ms (3.3%)

Algorithm
batch-egg-rewrite
Rules
579×log1p-expm1-u
294×associate-*r*
227×add-cube-cbrt
227×expm1-log1p-u
223×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032360
1508294
27488294
Stop Event
node limit
Counts
11 → 245
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.im (sqrt.f64 x.re)) (*.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal -3 binary64))
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x.re x.im) x.im) #s(literal -3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.im) x.im) #s(literal -3 binary64))
(*.f64 (*.f64 x.re x.im) x.im)
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x.im (sqrt.f64 x.re)) x.im) (sqrt.f64 x.re)) #s(literal -3 binary64)))
(*.f64 (*.f64 (*.f64 x.im (sqrt.f64 x.re)) x.im) (sqrt.f64 x.re))
(*.f64 (*.f64 (*.f64 (*.f64 x.im (sqrt.f64 x.re)) x.im) (sqrt.f64 x.re)) #s(literal -3 binary64))
Outputs
(+.f64 (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 (*.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 (exp.f64 (log1p.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) (cbrt.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(*.f64 (hypot.f64 (*.f64 (sqrt.f64 (*.f64 x.re #s(literal -3 binary64))) x.im) (pow.f64 x.re #s(literal 3/2 binary64))) (hypot.f64 (*.f64 (sqrt.f64 (*.f64 x.re #s(literal -3 binary64))) x.im) (pow.f64 x.re #s(literal 3/2 binary64))))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (-.f64 (*.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 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (-.f64 (*.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 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (-.f64 (*.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 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (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 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 9 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (-.f64 (*.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 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (pow.f64 x.re #s(literal 6 binary64))) (-.f64 (*.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 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (*.f64 (sqrt.f64 (*.f64 x.re #s(literal -3 binary64))) x.im) (pow.f64 x.re #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (log.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (*.f64 (sqrt.f64 x.re) #s(literal -3 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im (*.f64 (sqrt.f64 x.re) #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 (sqrt.f64 x.re) #s(literal -3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (*.f64 (sqrt.f64 x.re) #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (*.f64 (sqrt.f64 x.re) #s(literal -3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 9 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 x.re)) x.im) #s(literal -3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (*.f64 (sqrt.f64 x.re) #s(literal -3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 (sqrt.f64 x.re) #s(literal -3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 (sqrt.f64 x.re) #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 (sqrt.f64 x.re) #s(literal -3 binary64)))))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 (sqrt.f64 x.re) #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (*.f64 (sqrt.f64 x.re) #s(literal -3 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 x.re (*.f64 x.re (-.f64 x.re x.im))) (*.f64 x.re (*.f64 x.im (-.f64 x.re x.im))))
(+.f64 (*.f64 (*.f64 x.re (-.f64 x.re x.im)) x.re) (*.f64 (*.f64 x.im (-.f64 x.re x.im)) x.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 x.im x.re))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.im x.re))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 x.im x.re))) (+.f64 x.im x.re))
(pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(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 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x.re #s(literal -3 binary64))) x.im) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))))
(log.f64 (pow.f64 (exp.f64 (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 (sqrt.f64 x.re) #s(literal -3 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 x.im (sqrt.f64 x.re))) (log.f64 (*.f64 x.im (*.f64 (sqrt.f64 x.re) #s(literal -3 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 (pow.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.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)))
(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)))))
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simplify213.0ms (3.6%)

Algorithm
egg-herbie
Rules
643×distribute-lft-in
613×distribute-rgt-in
282×associate-*r*
280×distribute-lft-neg-in
258×distribute-rgt-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038518358
191617374
2314317100
Stop Event
node limit
Counts
485 → 204
Calls
Call 1
Inputs
(pow.f64 x.re #s(literal 3 binary64))
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(+.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))
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(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 9 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (-.f64 (*.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 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (pow.f64 x.re #s(literal 6 binary64))) (-.f64 (*.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 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (*.f64 (sqrt.f64 (*.f64 x.re #s(literal -3 binary64))) x.im) (pow.f64 x.re #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (log.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 1 binary64)))
(fma.f64 x.re (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (*.f64 x.im (sqrt.f64 x.re)) (*.f64 x.im (*.f64 (sqrt.f64 x.re) #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 x.im x.re) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 x.re) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (sqrt.f64 x.re) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)))) (cbrt.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 x.re #s(literal -3 binary64))) x.im) (*.f64 (sqrt.f64 (*.f64 x.re #s(literal -3 binary64))) x.im) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64))
(pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 x.re) (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (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 x.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x.re) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 x.re) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 x.re #s(literal -3 binary64))) x.im) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))))
(log.f64 (pow.f64 (exp.f64 (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 (sqrt.f64 x.re) #s(literal -3 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 x.im (sqrt.f64 x.re))) (log.f64 (*.f64 x.im (*.f64 (sqrt.f64 x.re) #s(literal -3 binary64))))))
Outputs
(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 (*.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)) (fma.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)) (fma.f64 x.re #s(literal -3 binary64) (/.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)) (fma.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)) (fma.f64 x.re #s(literal -3 binary64) (/.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)) (fma.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)) (fma.f64 x.re #s(literal -3 binary64) (/.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 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 (*.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)) (fma.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)) (fma.f64 x.re #s(literal -3 binary64) (/.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)) (fma.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)) (fma.f64 x.re #s(literal -3 binary64) (/.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)) (fma.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)) (fma.f64 x.re #s(literal -3 binary64) (/.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 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #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 (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 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (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)) (fma.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 (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 (*.f64 #s(literal -3 binary64) (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)) (fma.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 (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 (*.f64 #s(literal -3 binary64) (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)) (fma.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))
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(exp.f64 (+.f64 (log.f64 (*.f64 x.im (sqrt.f64 x.re))) (log.f64 (*.f64 x.im (*.f64 (sqrt.f64 x.re) #s(literal -3 binary64))))))
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eval84.0ms (1.4%)

Compiler

Compiled 5425 to 3367 computations (37.9% saved)

prune51.0ms (0.9%)

Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New3300330
Fresh044
Picked055
Done044
Total33013343
Accuracy
100.0%
Counts
343 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
93.1%
(fma.f64 (*.f64 x.im (sqrt.f64 x.re)) (*.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
82.7%
(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)))
88.9%
(fma.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
59.0%
(pow.f64 x.re #s(literal 3 binary64))
72.1%
(-.f64 (*.f64 (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
85.0%
(-.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))
75.3%
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(literal 0 binary64))
88.0%
(+.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)))
84.4%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x.im (sqrt.f64 x.re)) x.im) (sqrt.f64 x.re)) #s(literal -3 binary64)))
88.1%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x.re x.im) x.im) #s(literal -3 binary64)))
81.9%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
50.0%
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
50.0%
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
Compiler

Compiled 188 to 119 computations (36.7% saved)

localize231.0ms (4%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
99.7%
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64)))
90.5%
(fma.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
99.7%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
93.6%
(*.f64 (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))) x.re)
93.0%
(-.f64 (*.f64 (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
24.6%
(fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))
100.0%
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
99.7%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
93.6%
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re)
93.0%
(-.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))
90.1%
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
Results
171.0ms256×256valid
Compiler

Compiled 209 to 60 computations (71.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-mult: 61.0ms (41.4% of total)
<compiled-spec>: 40.0ms (27.1% of total)
ival-pow: 27.0ms (18.3% of total)
ival-add: 12.0ms (8.1% of total)
ival-sub: 4.0ms (2.7% of total)
const: 2.0ms (1.4% of total)
ival-neg: 1.0ms (0.7% of total)

series129.0ms (2.2%)

Counts
8 → 180
Calls
Call 1
Inputs
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))>
#<alt (-.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))>
#<alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))>
#<alt (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (-.f64 (*.f64 (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))>
#<alt (*.f64 (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))) x.re)>
#<alt (fma.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 x.re (*.f64 x.im #s(literal -3 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 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))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (*.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))) (*.f64 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))))) (*.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))) (*.f64 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))))) (*.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 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))) (*.f64 #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 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))) (*.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 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)) 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 x.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) x.re)))) 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 x.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) x.re)))) x.re)) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (*.f64 x.re (+.f64 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 -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 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im)) (*.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 (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im) (/.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 (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im) (/.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 #s(literal -1 binary64) (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im))) (*.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 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) x.im))) (*.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 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) x.im))) (*.f64 #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 #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 x.re (-.f64 (+.f64 (*.f64 #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) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (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 -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))) (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 -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))) (pow.f64 x.im #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 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 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 x.im x.re)) (+.f64 (/.f64 x.im x.re) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 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 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 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 x.im x.re)) (+.f64 (/.f64 x.im x.re) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 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 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)) 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 x.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #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) (pow.f64 x.im #s(literal 2 binary64)))) x.re)))) 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 x.im (+.f64 (*.f64 #s(literal -1 binary64) x.im) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 #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) (pow.f64 x.im #s(literal 2 binary64)))) x.re)))) x.re)) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (*.f64 x.re (+.f64 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 -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 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im)) (*.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 (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im) (/.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 (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im) (/.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 #s(literal -1 binary64) (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im))) (*.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 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) x.im))) (*.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 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) x.im))) (*.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))) (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 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im))) (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 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))) (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 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im)))) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
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#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -2 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 x.im x.re)) (+.f64 (/.f64 x.im x.re) (/.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 (*.f64 #s(literal -2 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 x.im x.re)) (+.f64 (/.f64 x.im x.re) (/.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 -1 binary64) (/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)) 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 x.im (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))) 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 x.im (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (+.f64 (*.f64 #s(literal -1 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))) x.re)) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 x.im (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im x.re)) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.im x.re)) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im) (/.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 -1 binary64) x.re) (+.f64 (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (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 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) x.im))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) x.im))))>
#<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 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 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))>
Calls

45 calls:

TimeVariablePointExpression
108.0ms
x.im
@-inf
(- (* (* (- x.re x.im) (+ x.re x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms
x.re
@0
(+ (* x.re x.im) (* x.im x.re))
1.0ms
x.re
@-inf
(- (* (+ (* (+ x.re x.im) (- x.re x.im)) (+ (* (neg x.im) x.im) (pow x.im 2))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms
x.re
@0
(- (* (+ (* (+ x.re x.im) (- x.re x.im)) (+ (* (neg x.im) x.im) (pow x.im 2))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms
x.re
@inf
(+ (* x.re x.im) (* x.im x.re))

rewrite105.0ms (1.8%)

Algorithm
batch-egg-rewrite
Rules
269×associate-*r*
238×log1p-expm1-u
238×expm1-log1p-u
236×add-cube-cbrt
233×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033369
1559194
Stop Event
node limit
Counts
8 → 186
Calls
Call 1
Inputs
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
(-.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 x.re x.im) (*.f64 x.im x.re))
(fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))
(-.f64 (*.f64 (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))) x.re)
(fma.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (*.f64 x.im #s(literal -3 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.im (sqrt.f64 (*.f64 #s(literal -3 binary64) x.re))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 9 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -3 binary64)) x.re) (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -3 binary64) x.re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -3 binary64) x.re) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))))
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(log.f64 (exp.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))))
(exp.f64 (log.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 x.im x.re) (*.f64 x.re (+.f64 x.im x.re)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) x.re #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (+.f64 x.im x.re) (sqrt.f64 x.re)) (*.f64 (+.f64 x.im x.re) (sqrt.f64 x.re)) #s(literal 0 binary64))
(+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (+.f64 x.im x.im))))
(+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (*.f64 x.im (+.f64 x.im x.im)) x.re))
(+.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.re))) (*.f64 x.re (*.f64 x.im (+.f64 x.im x.re))))
(+.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) x.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (*.f64 x.re (+.f64 x.im x.re))) (+.f64 x.im x.re))
(/.f64 (*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 x.im x.re))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.im x.re))))
(pow.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (+.f64 x.im x.re) (sqrt.f64 x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 9 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 9 binary64))) (pow.f64 x.re #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))))
(pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (log.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.re) x.im) #s(literal -3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))) #s(literal 1 binary64)))

simplify153.0ms (2.6%)

Algorithm
egg-herbie
Rules
260×fma-define
253×associate-*r*
215×associate-*l*
158×*-commutative
148×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04579185
112019185
250979185
Stop Event
unsound
Counts
366 → 180
Calls
Call 1
Inputs
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #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))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))))) (*.f64 #s(literal 2 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 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re))))
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(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))) (*.f64 #s(literal 2 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 -1 binary64) (/.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)) x.re)) #s(literal 1 binary64))))
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(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
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(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (+.f64 (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 #s(literal 2 binary64) x.re)))
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(/.f64 (neg.f64 (pow.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))) (neg.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (*.f64 x.re #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(pow.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))))
(exp.f64 (log.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 x.im x.re) (*.f64 x.re (+.f64 x.im x.re)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) x.re #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 (+.f64 x.im x.re) (sqrt.f64 x.re)) (*.f64 (+.f64 x.im x.re) (sqrt.f64 x.re)) #s(literal 0 binary64))
(+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 x.re (*.f64 x.im (+.f64 x.im x.im))))
(+.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (*.f64 x.im (+.f64 x.im x.im)) x.re))
(+.f64 (*.f64 x.re (*.f64 x.re (+.f64 x.im x.re))) (*.f64 x.re (*.f64 x.im (+.f64 x.im x.re))))
(+.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) x.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (*.f64 x.re (+.f64 x.im x.re))) (+.f64 x.im x.re))
(/.f64 (*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 x.re (+.f64 x.im x.re))) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.im x.re))))
(pow.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (+.f64 x.im x.re) (sqrt.f64 x.re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 9 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 9 binary64))) (pow.f64 x.re #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))))
(pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (log.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.re) x.im) #s(literal -3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)))))
(cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #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))) (*.f64 #s(literal 2 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 x.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))) (*.f64 #s(literal 2 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 x.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))))) (*.f64 #s(literal 2 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 x.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 x.im (+.f64 x.re (*.f64 #s(literal -1 binary64) x.im))))) (*.f64 #s(literal 2 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))
(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.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x.im x.re)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re)))) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
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(*.f64 (cbrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 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 (sqrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 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 (+.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 9 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 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 (-.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 9 binary64))) (pow.f64 x.re #s(literal 6 binary64))) (-.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 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))
(pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(pow.f64 (cbrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(pow.f64 (pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(pow.f64 (sqrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(sqrt.f64 (pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(log.f64 (exp.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 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))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 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))
(cbrt.f64 (pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(expm1.f64 (log1p.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 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))
(log1p.f64 (expm1.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 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))
(exp.f64 (log.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 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))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)))) #s(literal 1 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(pow.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) #s(literal 1 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))) #s(literal 3 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(pow.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(pow.f64 (sqrt.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))) #s(literal 2 binary64))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(sqrt.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) #s(literal 2 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.re) x.im) #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)) #s(literal 3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re))) #s(literal 1 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))

eval73.0ms (1.2%)

Compiler

Compiled 7322 to 3507 computations (52.1% saved)

prune52.0ms (0.9%)

Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New3552357
Fresh000
Picked224
Done189
Total35812370
Accuracy
100.0%
Counts
370 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.7%
(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)))
88.9%
(fma.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
59.0%
(pow.f64 x.re #s(literal 3 binary64))
85.0%
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.im))
75.3%
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(literal 0 binary64))
88.0%
(+.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)))
84.4%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 x.im (sqrt.f64 x.re)) x.im) (sqrt.f64 x.re)) #s(literal -3 binary64)))
88.1%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x.re x.im) x.im) #s(literal -3 binary64)))
81.9%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
88.1%
(+.f64 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #s(literal 3 binary64)))
50.0%
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
50.0%
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
Compiler

Compiled 455 to 243 computations (46.6% saved)

regimes42.0ms (0.7%)

Counts
22 → 2
Calls
Call 1
Inputs
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re 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 0 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 (*.f64 #s(literal 2 binary64) (*.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 #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 -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
(+.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 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x.re x.im) x.im) #s(literal -3 binary64)))
(-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) 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 (*.f64 x.im (+.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))) (pow.f64 x.re #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)))
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 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 (*.f64 (*.f64 (*.f64 x.im (sqrt.f64 x.re)) x.im) (sqrt.f64 x.re)) #s(literal -3 binary64)))
(-.f64 (*.f64 (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(fma.f64 (*.f64 x.im (sqrt.f64 x.re)) (*.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
Outputs
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x.re x.im) x.im) #s(literal -3 binary64)))
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(literal 0 binary64))
Calls

3 calls:

18.0ms
x.im
15.0ms
x.re
8.0ms
(-.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
99.8%2x.re
97.4%4x.im
99.1%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)

regimes20.0ms (0.4%)

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

3 calls:

8.0ms
x.re
8.0ms
x.im
4.0ms
(-.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
89.3%2x.im
93.6%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))
93.6%2x.re
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes3.0ms (0%)

Accuracy

Total -4.2b remaining (-26.9%)

Threshold costs -4.2b (-26.9%)

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

2 calls:

1.0ms
x.re
1.0ms
x.im
Results
AccuracySegmentsBranch
75.3%1x.im
75.3%1x.re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch20.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
18.0ms
3.890897234477871e+117
4.4005861920548384e+122
Results
13.0ms144×0valid
Compiler

Compiled 278 to 186 computations (33.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (53.2% of total)
ival-sub: 3.0ms (31.9% of total)
ival-add: 1.0ms (10.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch2.0ms (0%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
1.57513292231474e+154
1.7087555523785806e+154
Results
1.0ms16×0valid
Compiler

Compiled 60 to 36 computations (40% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (112.5% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify40.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
034260
155260
277260
397260
4106260
5110260
6111260
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x.re #s(literal 3899999999999999903199670720543829239825825095523401284713906239368956323887063581216827078313618573844255749724700672 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x.re x.im) x.im) #s(literal -3 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(literal 0 binary64)))
(if (<=.f64 x.re #s(literal 15999999999999999995734448065970459917688624305894986980573443008389914872358780186766716153033074535098710061184459360326281505506064483522128253756112896 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.im)) (-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(literal 0 binary64)))
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(literal 0 binary64))
Outputs
(if (<=.f64 x.re #s(literal 3899999999999999903199670720543829239825825095523401284713906239368956323887063581216827078313618573844255749724700672 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 x.re x.im) x.im) #s(literal -3 binary64))) (-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(literal 0 binary64)))
(if (<=.f64 x.re #s(literal 3899999999999999903199670720543829239825825095523401284713906239368956323887063581216827078313618573844255749724700672 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.im (*.f64 x.re x.im)) #s(literal -3 binary64))) (*.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
(if (<=.f64 x.re #s(literal 15999999999999999995734448065970459917688624305894986980573443008389914872358780186766716153033074535098710061184459360326281505506064483522128253756112896 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.im)) (-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(literal 0 binary64)))
(if (<=.f64 x.re #s(literal 15999999999999999995734448065970459917688624305894986980573443008389914872358780186766716153033074535098710061184459360326281505506064483522128253756112896 binary64)) (-.f64 (*.f64 x.re (*.f64 (-.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.re (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) #s(literal 0 binary64))
(*.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))

soundness787.0ms (13.5%)

Rules
1032×unsub-neg
747×log1p-expm1-u
747×expm1-log1p-u
679×log1p-expm1-u
568×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042591
1149519
2395483
31504301
44596301
56840301
67603301
063927439
1162727439
027170
1377142
25285134
032451
1566388
27104388
Stop Event
fuel
node limit
node limit
unsound
node limit
Compiler

Compiled 517 to 216 computations (58.2% saved)

preprocess80.0ms (1.4%)

Remove

(abs x.im)

Compiler

Compiled 522 to 282 computations (46% saved)

end0.0ms (0%)

Profiling

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