math.cube on complex, real part

Time bar (total: 6.6s)

analyze0.0ms (0%)

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

Compiled 22 to 12 computations (45.5% saved)

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

sample1.3s (20.1%)

Results
974.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 635.0ms
ival-mult: 382.0ms (60.2% of total)
ival-sub: 196.0ms (30.9% of total)
ival-add: 46.0ms (7.2% of total)
const: 7.0ms (1.1% of total)
backward-pass: 3.0ms (0.5% of total)
Bogosity

preprocess173.0ms (2.6%)

Algorithm
1×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
1×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)

explain153.0ms (2.3%)

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))
190-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
160-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
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
62.0ms512×0valid
Compiler

Compiled 157 to 35 computations (77.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 19.0ms (55.9% of total)
ival-sub: 9.0ms (26.5% of total)
ival-add: 5.0ms (14.7% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 75 to 33 computations (56% saved)

prune4.0ms (0.1%)

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%
(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)))))
▶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))
▶80.0%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
▶80.0%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
Compiler

Compiled 168 to 100 computations (40.5% saved)

localize205.0ms (3.1%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
✓93.5%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
✓87.2%
(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)))
✓86.9%
(*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
✓99.8%
(*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
✓87.7%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
✓86.8%
(*.f64 x.re (*.f64 x.im x.im))
✓99.8%
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))
✓87.7%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
✓86.9%
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
✓99.8%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓94.0%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
✓93.5%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
✓93.1%
(-.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))
✓99.8%
(*.f64 x.im (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))
✓93.5%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
✓87.2%
(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)))))
Results
144.0ms256×0valid
Compiler

Compiled 236 to 74 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 99.0ms
ival-mult: 62.0ms (62.5% of total)
ival-pow: 17.0ms (17.1% of total)
ival-fma: 7.0ms (7.1% of total)
ival-neg: 4.0ms (4% of total)
ival-sub: 3.0ms (3% of total)
ival-add: 3.0ms (3% of total)
const: 3.0ms (3% of total)
backward-pass: 0.0ms (0% of total)

series39.0ms (0.6%)

Counts
16 → 372
Calls
Call 1
Inputs
#<alt (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)))))>
#<alt (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))>
#<alt (*.f64 x.im (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))>
#<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 x.re x.re) (*.f64 x.im x.im))>
#<alt (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)>
#<alt (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)>
#<alt (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))>
#<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.im (*.f64 x.im #s(literal -3 binary64)))>
#<alt (*.f64 x.re (*.f64 x.im x.im))>
#<alt (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))>
#<alt (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))>
#<alt (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) 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 (*.f64 x.re x.re) (*.f64 x.im x.im))>
Outputs
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
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#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))>
Calls

93 calls:

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

rewrite280.0ms (4.3%)

Algorithm
1×batch-egg-rewrite
Rules
343×associate-*r*
259×log1p-expm1-u
259×expm1-log1p-u
254×add-exp-log
252×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038547
1658467
Stop Event
1×node limit
Counts
16 → 525
Calls
Call 1
Inputs
(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)))))
(-.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))))
(-.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 x.re) (*.f64 x.im x.im))
(*.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 x.re (*.f64 x.im (*.f64 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 x.im (*.f64 x.im #s(literal -3 binary64)))
(*.f64 x.re (*.f64 x.im 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 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64))
(*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) 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.re x.re) (*.f64 x.im x.im))
Outputs
(+.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(+.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(+.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (fma.f64 (neg.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.im))) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (cbrt.f64 x.im)) #s(literal 2 binary64)) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(+.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (fma.f64 (neg.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.im))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.im)) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(+.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(+.f64 (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(+.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.re (neg.f64 (*.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))) (fma.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64) (*.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64))))
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(/.f64 (-.f64 (pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (-.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(exp.f64 (log.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 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))) (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 (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))) (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 (fma.f64 x.re x.re (neg.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (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 #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))))

simplify411.0ms (6.3%)

Algorithm
1×egg-herbie
Rules
100×*-commutative
67×+-commutative
45×sub-neg
42×fma-undefine
29×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060438411
1159938411
Stop Event
1×unsound
Counts
897 → 357
Calls
Call 1
Inputs
(*.f64 x.re (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (neg.f64 (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))) (-.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))))
(pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x.re x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))))
(fma.f64 (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 x.re (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 x.re (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 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 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 0 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 (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 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 0 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 (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 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 0 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 (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 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(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 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(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 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(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 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re)))
(*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.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 -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.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 -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.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 -2 binary64) x.re) (*.f64 #s(literal -1 binary64) x.re)))
(*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.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 -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.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 -2 binary64) x.re) (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.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 -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 2 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(pow.f64 x.re #s(literal 2 binary64))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(pow.f64 x.re #s(literal 2 binary64))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))))
(pow.f64 x.re #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64)))
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(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.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)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.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 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 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (-.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (-.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 (-.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 (fma.f64 (neg.f64 x.im) x.im (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))) (-.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 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 x.re #s(literal 4 binary64)) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 (-.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))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(pow.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(exp.f64 (log.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 x.re x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 2 binary64))))
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (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))))

eval192.0ms (2.9%)

Compiler

Compiled 11659 to 7464 computations (36% saved)

prune82.0ms (1.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New4847491
Fresh000
Picked325
Done000
Total4879496
Accuracy
100.0%
Counts
496 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.0%
(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)))
▶61.5%
(pow.f64 x.re #s(literal 3 binary64))
66.8%
(-.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))
▶85.4%
(-.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))
85.7%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x.im (sqrt.f64 x.re)) #s(literal 2 binary64)) #s(literal -3 binary64)))
✓80.0%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
▶45.4%
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
▶45.4%
(*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
Compiler

Compiled 213 to 141 computations (33.8% saved)

localize162.0ms (2.5%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
✓100.0%
(pow.f64 x.im #s(literal 2 binary64))
✓86.7%
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
✓100.0%
(pow.f64 x.im #s(literal 2 binary64))
✓99.8%
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))
✓86.9%
(*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
99.8%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓94.0%
(*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re)
✓93.1%
(-.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))
✓88.5%
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
Results
112.0ms256×0valid
Compiler

Compiled 146 to 60 computations (58.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-pow: 31.0ms (42.1% of total)
ival-mult: 29.0ms (39.4% of total)
ival-sub: 5.0ms (6.8% of total)
ival-add: 3.0ms (4.1% of total)
ival-fma: 3.0ms (4.1% of total)
const: 3.0ms (4.1% of total)
backward-pass: 0.0ms (0% of total)

series19.0ms (0.3%)

Counts
8 → 120
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 (*.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 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re)>
#<alt (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))>
#<alt (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 #s(literal 2 binary64) x.re)))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
Outputs
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.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))))>
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#<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)))>
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#<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)))>
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#<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)))))>
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#<alt (pow.f64 x.re #s(literal 3 binary64))>
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#<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))))>
#<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 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (*.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))>
Calls

39 calls:

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

rewrite161.0ms (2.5%)

Algorithm
1×batch-egg-rewrite
Rules
385×log1p-expm1-u
236×associate-*r*
220×expm1-log1p-u
215×add-cube-cbrt
213×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031246
1520178
27685178
Stop Event
1×node limit
Counts
8 → 183
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 (*.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 x.re x.im) (-.f64 x.re x.im)) x.re)
(*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) #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 -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
(pow.f64 x.im #s(literal 2 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 (exp.f64 (log1p.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))))) #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)))) #s(literal 1 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 (cbrt.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.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.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 6 binary64))) (-.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))
(pow.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (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 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x.im x.im)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) x.im))
(*.f64 (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) x.im))
(*.f64 (*.f64 x.im (sqrt.f64 x.im)) (sqrt.f64 x.im))
(*.f64 (*.f64 x.im (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x.im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)) #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 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))) x.re))
(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.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))))
(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.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))))
(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 (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x.im x.im)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) x.im))
(*.f64 (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) x.im))
(*.f64 (*.f64 x.im (sqrt.f64 x.im)) (sqrt.f64 x.im))
(*.f64 (*.f64 x.im (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x.im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)) #s(literal 1 binary64)))

simplify132.0ms (2%)

Algorithm
1×egg-herbie
Rules
334×associate-+r+
325×associate-+l+
322×fma-neg
318×cancel-sign-sub-inv
244×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042310504
110619374
235558086
Stop Event
1×node limit
Counts
303 → 215
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)))
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(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.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))))
(*.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 (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))))))
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(*.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))))
(*.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))))
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(pow.f64 x.re #s(literal 3 binary64))
(+.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)))
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(+.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)))
(*.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.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)))
(*.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 (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 #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)))
(*.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)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (+.f64 x.im (*.f64 #s(literal -1 binary64) x.im)))))
(*.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))))))
(*.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))))))
(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))))
(*.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)))))
(*.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)))))
(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))))
(*.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))))
(*.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))))
(pow.f64 x.re #s(literal 3 binary64))
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(expm1.f64 (log1p.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 0 binary64))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 0 binary64))))
(exp.f64 (log.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (+.f64 x.re x.im) (*.f64 x.re (-.f64 x.re x.im)) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.re #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 0 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 0 binary64))) (sqrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 0 binary64))
(-.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.re x.im))) (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.re x.im))) (-.f64 x.re x.im))
(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 x.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.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)))
(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 (*.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 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))) x.re))
(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.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))))
(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.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))))
(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 #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)))))
(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 (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x.im x.im)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) x.im))
(*.f64 (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) x.im))
(*.f64 (*.f64 x.im (sqrt.f64 x.im)) (sqrt.f64 x.im))
(*.f64 (*.f64 x.im (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x.im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)) #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 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))) x.re))
(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.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))))
(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.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))))
(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 (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x.im x.im)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.im) x.im))
(*.f64 (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x.im) (*.f64 (sqrt.f64 x.im) x.im))
(*.f64 (*.f64 x.im (sqrt.f64 x.im)) (sqrt.f64 x.im))
(*.f64 (*.f64 x.im (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64))) (cbrt.f64 x.im))
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x.im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)) #s(literal 1 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 #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 #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 #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 #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 #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))))
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(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 x.im #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(pow.f64 x.im #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64))
(log1p.f64 (expm1.f64 (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 x.im #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)))
(pow.f64 x.im #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)) #s(literal 1 binary64)))
(pow.f64 x.im #s(literal 2 binary64))

eval62.0ms (0.9%)

Compiler

Compiled 3768 to 2455 computations (34.8% saved)

prune32.0ms (0.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2334237
Fresh202
Picked325
Done112
Total2397246
Accuracy
100.0%
Counts
246 → 7
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)))
✓61.5%
(pow.f64 x.re #s(literal 3 binary64))
✓85.4%
(-.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))
▶85.4%
(+.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)))
▶51.2%
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
▶45.4%
(*.f64 (*.f64 x.im x.im) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
▶45.4%
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
Compiler

Compiled 100 to 63 computations (37% saved)

localize188.0ms (2.9%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
✓99.7%
(*.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)))))
✓99.3%
(*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
✓87.7%
(+.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)))
✓99.7%
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
✓86.7%
(*.f64 (*.f64 x.im x.im) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
✓99.8%
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
✓86.9%
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
Results
137.0ms256×0valid
Compiler

Compiled 169 to 99 computations (41.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 95.0ms
ival-mult: 64.0ms (67% of total)
ival-add: 10.0ms (10.5% of total)
ival-pow: 9.0ms (9.4% of total)
ival-sub: 8.0ms (8.4% of total)
const: 4.0ms (4.2% of total)
backward-pass: 0.0ms (0% of total)

series177.0ms (2.7%)

Counts
7 → 139
Calls
Call 1
Inputs
#<alt (*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))>
#<alt (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))>
#<alt (*.f64 (*.f64 x.im x.im) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))>
#<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 x.im (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.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)))))>
Outputs
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 (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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.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 (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 (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 (*.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 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im))) 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 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im))) x.im))) (*.f64 #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 (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 x.im (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 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 (*.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 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 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 #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 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 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 -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))>
Calls

39 calls:

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

rewrite214.0ms (3.3%)

Algorithm
1×batch-egg-rewrite
Rules
288×log1p-expm1-u
273×associate-*r*
209×expm1-log1p-u
206×add-cube-cbrt
204×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028194
1471138
27987138
Stop Event
1×node limit
Counts
7 → 265
Calls
Call 1
Inputs
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
(*.f64 (*.f64 x.im x.im) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 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)))
(*.f64 x.im (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
(*.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)))))
Outputs
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im #s(literal 0 binary64)))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 x.im #s(literal 0 binary64)) (*.f64 x.re (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 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x.im #s(literal 0 binary64)) (*.f64 x.im #s(literal 0 binary64))) (*.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (*.f64 (*.f64 x.im #s(literal 0 binary64)) (*.f64 x.im #s(literal 0 binary64)))) (-.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im #s(literal 0 binary64))))
(/.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im) (*.f64 x.re x.im))
(/.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 x.im (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 x.im #s(literal 0 binary64))))
(/.f64 (*.f64 x.im (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.re x.im))
(/.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)))
(/.f64 (*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.im) (-.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 x.im #s(literal 0 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 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))) x.re))
(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 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re x.im) #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 (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 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #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)))
(fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 x.im (*.f64 x.re x.im) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (*.f64 x.re x.im) x.im (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (*.f64 x.im (sqrt.f64 x.re)) (*.f64 x.im (sqrt.f64 x.re)) (*.f64 x.im #s(literal 0 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 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 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 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))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im #s(literal 0 binary64)))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 x.im #s(literal 0 binary64)) (*.f64 x.re (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 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 x.im #s(literal 0 binary64)) (*.f64 x.im #s(literal 0 binary64))) (*.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im #s(literal 0 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (*.f64 (*.f64 x.im #s(literal 0 binary64)) (*.f64 x.im #s(literal 0 binary64)))) (-.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im #s(literal 0 binary64))))
(/.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im) (*.f64 x.re x.im))
(/.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 x.im (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 x.im #s(literal 0 binary64))))
(/.f64 (*.f64 x.im (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.re x.im))
(/.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)))
(/.f64 (*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.im) (-.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 x.im #s(literal 0 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 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))) x.re))
(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 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re x.im) #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 (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 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #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)))
(fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 x.im (*.f64 x.re x.im) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (*.f64 x.re x.im) x.im (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (*.f64 x.im (sqrt.f64 x.re)) (*.f64 x.im (sqrt.f64 x.re)) (*.f64 x.im #s(literal 0 binary64)))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im #s(literal 0 binary64)))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(+.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 x.im #s(literal 0 binary64)) (*.f64 x.re (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)
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(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (*.f64 (*.f64 x.im #s(literal 0 binary64)) (*.f64 x.im #s(literal 0 binary64)))) (-.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im #s(literal 0 binary64))))
(/.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im) (*.f64 x.re x.im))
(/.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 x.im (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 x.im #s(literal 0 binary64))))
(/.f64 (*.f64 x.im (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 x.re x.im))
(/.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)))
(/.f64 (*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.im) (-.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 x.im #s(literal 0 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 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))) x.re))
(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 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re x.im) #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 (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 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #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)))
(fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 x.im (*.f64 x.re x.im) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (*.f64 x.re x.im) x.im (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (*.f64 x.im (sqrt.f64 x.re)) (*.f64 x.im (sqrt.f64 x.re)) (*.f64 x.im #s(literal 0 binary64)))

simplify293.0ms (4.5%)

Algorithm
1×egg-herbie
Rules
406×*-commutative
389×fma-neg
348×distribute-lft-in
341×prod-exp
331×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035011161
184410284
227179844
370849844
Stop Event
1×node limit
Counts
404 → 220
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))
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(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
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(*.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)))
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(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
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(*.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 x.im (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) (pow.f64 x.re #s(literal 3 binary64)))
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(fma.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (*.f64 x.im (sqrt.f64 x.re)) (*.f64 x.im (sqrt.f64 x.re)) (*.f64 x.im #s(literal 0 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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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))))
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(*.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 #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 #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))))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
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(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
(*.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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(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
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(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
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(*.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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(*.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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(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
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(fma.f64 x.re (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re #s(literal 0 binary64))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(fma.f64 x.im (*.f64 x.re x.im) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re #s(literal 0 binary64))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re #s(literal 0 binary64))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(fma.f64 (*.f64 x.re x.im) x.im (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re #s(literal 0 binary64))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re #s(literal 0 binary64))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re #s(literal 0 binary64))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)
(fma.f64 (*.f64 x.im (sqrt.f64 x.re)) (*.f64 x.im (sqrt.f64 x.re)) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re #s(literal 0 binary64))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)

eval63.0ms (1%)

Compiler

Compiled 3640 to 2337 computations (35.8% saved)

prune164.0ms (2.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New2191220
Fresh000
Picked134
Done033
Total2207227
Accuracy
100.0%
Counts
227 → 7
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)))
✓61.5%
(pow.f64 x.re #s(literal 3 binary64))
✓85.4%
(-.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))
▶85.8%
(+.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -3 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)))
✓51.2%
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
✓45.4%
(*.f64 (*.f64 x.im x.im) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
✓45.4%
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
Compiler

Compiled 96 to 60 computations (37.5% saved)

localize219.0ms (3.3%)

Localize:

Found 3 expressions with local error:

NewAccuracyProgram
✓99.7%
(*.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))))
✓99.6%
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))
✓87.7%
(+.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -3 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)))
Results
175.0ms256×0valid
Compiler

Compiled 81 to 46 computations (43.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 157.0ms
ival-pow: 120.0ms (76.4% of total)
ival-mult: 25.0ms (15.9% of total)
ival-add: 10.0ms (6.4% of total)
const: 2.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
3 → 43
Calls
Call 1
Inputs
#<alt (+.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -3 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 -3 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))))>
Outputs
#<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 #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 (*.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 -3 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 -3 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 -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 (*.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 -3 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im))) x.im))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im))) x.im))))>
#<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 x.im (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 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 -3 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 -3 binary64) x.re) (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im)))>
#<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 (*.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 -3 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 -3 binary64) x.re) (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
Calls

18 calls:

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

rewrite111.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
974×log1p-expm1-u
974×expm1-log1p-u
151×associate-*r*
125×add-cube-cbrt
123×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019126
128286
2476686
Stop Event
1×node limit
Counts
3 → 110
Calls
Call 1
Inputs
(+.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -3 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)))
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.re))
(*.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.re)) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))))
Outputs
(-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 2 binary64)) (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (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 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(*.f64 (pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 x.im (*.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))))
(*.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (+.f64 (sqrt.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))) (pow.f64 x.re #s(literal 3/2 binary64))) (-.f64 (sqrt.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))) (pow.f64 x.re #s(literal 3/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 x.im (*.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))))) (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))) (pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 x.im (*.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 2 binary64)) (*.f64 x.im (*.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x.re #s(literal 9 binary64)) (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 x.im (*.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64))) (neg.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (+.f64 (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 x.im (*.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 2 binary64))) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))))
(pow.f64 (cbrt.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 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.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64))
(pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (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 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))))))
(log.f64 (/.f64 (pow.f64 (exp.f64 x.im) (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) (exp.f64 (pow.f64 x.re #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (log.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 1 binary64)))
(fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))))
(fma.f64 (*.f64 x.im (*.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 2 binary64)) x.re (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (*.f64 x.im (*.f64 x.re #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.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))))
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(fma.f64 (sqrt.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))) (sqrt.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))) (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.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))))
(+.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 0 binary64))
(+.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (fma.f64 #s(literal 0 binary64) x.re #s(literal 0 binary64)))
(+.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (fma.f64 x.re #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 1 binary64) #s(literal 0 binary64)))
(+.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))
(+.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))))
(+.f64 (+.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 0 binary64))
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (/.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))) #s(literal 1 binary64))
(-.f64 (-.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64)) (*.f64 x.im #s(literal 0 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64)) (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64)) (*.f64 x.im #s(literal 0 binary64))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64)) (*.f64 x.im #s(literal 0 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64)) (*.f64 x.im #s(literal 0 binary64)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64))) (neg.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 x.im #s(literal 0 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))))
(pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) x.re) #s(literal -3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))))
(log.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x.im) x.re) #s(literal -3 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.re) #s(literal 0 binary64))
(fma.f64 x.re #s(literal 0 binary64) (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))
(fma.f64 (*.f64 x.im x.re) #s(literal -3 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) x.re (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))
(fma.f64 #s(literal 0 binary64) #s(literal 0 binary64) (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 0 binary64) (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) (sqrt.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 x.im #s(literal -3 binary64)) x.re #s(literal 0 binary64))
(+.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) (*.f64 x.im #s(literal 0 binary64)))
(+.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) (*.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 x.im #s(literal 0 binary64)) (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x.im #s(literal 0 binary64)) (*.f64 x.im #s(literal 0 binary64))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) (*.f64 x.im #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.im #s(literal 0 binary64)) (*.f64 x.im #s(literal 0 binary64)))) (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) (*.f64 x.im #s(literal 0 binary64))))
(/.f64 (*.f64 x.im (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64)) (*.f64 x.im #s(literal 0 binary64))))
(/.f64 (*.f64 x.im (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64))) x.im) (-.f64 (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64)) (*.f64 x.im #s(literal 0 binary64))))
(/.f64 (*.f64 (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64)) x.im) (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))
(pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))) #s(literal 1 binary64)))
(fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) x.im (*.f64 x.im #s(literal 0 binary64)))

simplify143.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
577×fma-neg
333×*-commutative
317×distribute-lft-in
314×distribute-rgt-in
301×cancel-sign-sub-inv
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02745405
17015120
224105084
372225034
Stop Event
1×node limit
Counts
153 → 166
Calls
Call 1
Inputs
(pow.f64 x.re #s(literal 3 binary64))
(+.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)))
(*.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 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 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 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 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 -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 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im))) x.im))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im))) x.im))))
(*.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))))
(*.f64 x.im (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))
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(/.f64 (+.f64 (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x.im #s(literal 0 binary64)) (*.f64 x.im #s(literal 0 binary64))) (*.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) (*.f64 x.im #s(literal 0 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 x.im #s(literal 0 binary64)) (*.f64 x.im #s(literal 0 binary64)))) (-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) (*.f64 x.im #s(literal 0 binary64))))
(/.f64 (*.f64 x.im (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64)) (*.f64 x.im #s(literal 0 binary64))))
(/.f64 (*.f64 x.im (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64))) (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 3 binary64))) x.im) (-.f64 (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64)) (*.f64 x.im #s(literal 0 binary64))))
(/.f64 (*.f64 (pow.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) #s(literal 2 binary64)) x.im) (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))
(pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))) #s(literal 1 binary64)))
(fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (*.f64 x.im #s(literal 0 binary64)))
(fma.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) x.im (*.f64 x.im #s(literal 0 binary64)))
Outputs
(pow.f64 x.re #s(literal 3 binary64))
(+.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)))
(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 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.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 x.re #s(literal -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.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 x.re #s(literal -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 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 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -3 binary64) x.re (*.f64 x.re (/.f64 (*.f64 #s(literal 0 binary64) x.re) x.im))) (/.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 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re #s(literal -3 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 (/.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 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -3 binary64) x.re (*.f64 x.re (/.f64 (*.f64 #s(literal 0 binary64) x.re) x.im))) (/.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 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re #s(literal -3 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 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.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 x.re #s(literal -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.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 x.re #s(literal -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im))) x.im))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -3 binary64) x.re (*.f64 x.re (/.f64 (*.f64 #s(literal 0 binary64) x.re) x.im))) (/.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 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re #s(literal -3 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 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im))) x.im))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal -3 binary64) x.re (*.f64 x.re (/.f64 (*.f64 #s(literal 0 binary64) x.re) x.im))) (/.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 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re #s(literal -3 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 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.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 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)))
(*.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)) (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)) (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)) (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 #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 #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 #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 x.im (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))))
(*.f64 x.im (*.f64 x.re (*.f64 #s(literal 0 binary64) x.re)))
#s(literal 0 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.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 x.re #s(literal -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.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 x.re #s(literal -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.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 x.re #s(literal -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.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 x.re #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.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 x.re #s(literal -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.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 x.re #s(literal -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.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 x.re #s(literal -3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (*.f64 x.re (+.f64 x.re (*.f64 #s(literal -1 binary64) x.re))) x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.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 x.re #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.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 x.re #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.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 x.re #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.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 x.re #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
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(*.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.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 x.re #s(literal -3 binary64)))
(log1p.f64 (expm1.f64 (*.f64 x.im (*.f64 x.im (*.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 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)))
(exp.f64 (log.f64 (*.f64 x.im (*.f64 x.im (*.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 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 x.re #s(literal -3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))))) #s(literal 1 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.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 x.re #s(literal -3 binary64)))
(fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (*.f64 x.im #s(literal 0 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.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 x.re #s(literal -3 binary64)))
(fma.f64 (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) x.im (*.f64 x.im #s(literal 0 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))))
(*.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 x.re #s(literal -3 binary64)))

eval126.0ms (1.9%)

Compiler

Compiled 3601 to 2528 computations (29.8% saved)

prune27.0ms (0.4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1651166
Fresh000
Picked101
Done066
Total1667173
Accuracy
100.0%
Counts
173 → 7
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)))
✓61.5%
(pow.f64 x.re #s(literal 3 binary64))
✓85.4%
(-.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))
50.8%
(-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
✓51.2%
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
✓45.4%
(*.f64 (*.f64 x.im x.im) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
✓45.4%
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
Compiler

Compiled 319 to 172 computations (46.1% saved)

regimes25.0ms (0.4%)

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

3 calls:

8.0ms
x.re
8.0ms
x.im
7.0ms
(-.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
98.3%3x.re
92.5%2x.im
96.5%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)

regimes12.0ms (0.2%)

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

1 calls:

11.0ms
x.re
Results
AccuracySegmentsBranch
98.3%3x.re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.2%)

Counts
14 → 2
Calls
Call 1
Inputs
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
(*.f64 (*.f64 x.im x.im) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 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 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #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 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(-.f64 (*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64)))) (pow.f64 x.re #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)))
(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)))))
Outputs
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
(pow.f64 x.re #s(literal 3 binary64))
Calls

2 calls:

6.0ms
x.re
5.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
96.5%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))
97.9%3x.re
Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes10.0ms (0.2%)

Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
(*.f64 (*.f64 x.im x.im) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 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 (-.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))
Outputs
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) 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))
Calls

3 calls:

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))
3.0ms
x.re
3.0ms
x.im
Results
AccuracySegmentsBranch
91.3%2x.im
90.9%2x.re
91.3%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes5.0ms (0.1%)

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

2 calls:

2.0ms
x.re
2.0ms
x.im
Results
AccuracySegmentsBranch
51.2%1x.re
51.2%1x.im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

3.0ms
x.re
1.0ms
x.im
Results
AccuracySegmentsBranch
45.4%1x.im
45.4%1x.re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch32.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
11.0ms
2.9275906495604026e+200
1.5530058156990687e+201
18.0ms
3.541945558460893e+102
5.885174102704398e+108
Results
21.0ms240×0valid
Compiler

Compiled 509 to 306 computations (39.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 10.0ms (70.6% of total)
ival-sub: 2.0ms (14.1% of total)
ival-add: 1.0ms (7.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch32.0ms (0.5%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
2.9275906495604026e+200
1.5530058156990687e+201
18.0ms
3.541945558460893e+102
5.885174102704398e+108
Results
20.0ms240×0valid
Compiler

Compiled 590 to 360 computations (39% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 10.0ms (72.5% of total)
ival-sub: 2.0ms (14.5% of total)
ival-add: 1.0ms (7.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.1976e-320
0.0
Compiler

Compiled 26 to 15 computations (42.3% saved)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-7.347017463175786e-106
-1.694556416163109e-107
Compiler

Compiled 26 to 15 computations (42.3% saved)

simplify14.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
18×*-commutative
15×+-commutative
10×sub-neg
6×neg-sub0
5×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
058744
191740
2114740
3130740
4137740
5138740
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x.re #s(literal 5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (if (<=.f64 x.re #s(literal 899999999999999938766978450986231177393407728551529114740216224023078551155561834981939214547812731505847466769090658864722134489538441379573387759651895578629933678539519311895434986290338141663395840 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 x.re #s(literal 5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (+.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -3 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))) (if (<=.f64 x.re #s(literal 550000000000000000349632987017246070777799411179259069112309397491929208777759837850993776773156152927351390775193494649460290098913564156607156530646450989395269071398140162164100639916502217717186560 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 (-.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)) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(if (<=.f64 (-.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)) #s(literal -5164499756173817/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) 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 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
Outputs
(if (<=.f64 x.re #s(literal 5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (if (<=.f64 x.re #s(literal 899999999999999938766978450986231177393407728551529114740216224023078551155561834981939214547812731505847466769090658864722134489538441379573387759651895578629933678539519311895434986290338141663395840 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 x.re #s(literal 5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (if (<=.f64 x.re #s(literal 899999999999999938766978450986231177393407728551529114740216224023078551155561834981939214547812731505847466769090658864722134489538441379573387759651895578629933678539519311895434986290338141663395840 binary64)) (-.f64 (*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.im (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) (pow.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 x.re #s(literal 5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (+.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -3 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))) (if (<=.f64 x.re #s(literal 550000000000000000349632987017246070777799411179259069112309397491929208777759837850993776773156152927351390775193494649460290098913564156607156530646450989395269071398140162164100639916502217717186560 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 x.re #s(literal 5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) (*.f64 x.re (+.f64 x.re (neg.f64 x.re)))))) (if (<=.f64 x.re #s(literal 550000000000000000349632987017246070777799411179259069112309397491929208777759837850993776773156152927351390775193494649460290098913564156607156530646450989395269071398140162164100639916502217717186560 binary64)) (-.f64 (*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.im (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) (pow.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 x.re #s(literal 5499999999999999811606918407626021187034853941230220021157959011357499306936347400522999993081641566208 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.im (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.re x.im)) (*.f64 x.re (-.f64 x.re x.re))))) (if (<=.f64 x.re #s(literal 550000000000000000349632987017246070777799411179259069112309397491929208777759837850993776773156152927351390775193494649460290098913564156607156530646450989395269071398140162164100639916502217717186560 binary64)) (-.f64 (*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.im (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) (pow.f64 x.re #s(literal 3 binary64))))
(if (<=.f64 (-.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)) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(if (<=.f64 (-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal -253/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(if (<=.f64 (-.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)) #s(literal -5164499756173817/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) 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)))
(if (<=.f64 (-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))) #s(literal -5164499756173817/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) (-.f64 (*.f64 x.re (*.f64 (+.f64 x.re x.im) (-.f64 x.re x.im))) (*.f64 x.im (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)))))
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))

soundness1.2s (18%)

Rules
1032×unsub-neg
568×fma-define
420×sub-neg
388×distribute-lft-out
385×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042310504
110619374
235558086
031246
1520178
27685178
060438411
1159938411
038547
1658467
042591
1149519
2395483
31504301
44596301
56840301
67603301
Stop Event
1×fuel
1×node limit
1×node limit
1×unsound
1×node limit
1×node limit
Compiler

Compiled 609 to 239 computations (60.8% saved)

preprocess70.0ms (1.1%)

Remove

(abs x.im)

Compiler

Compiled 1202 to 588 computations (51.1% saved)

end0.0ms (0%)

Profiling

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