math.cube on complex, real part

Time bar (total: 9.5s)

analyze0.0ms (0%)

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

Compiled 22 to 12 computations (45.5% saved)

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

sample956.0ms (10%)

Results
710.0ms8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 488.0ms
ival-mult: 347.0ms (71.2% of total)
ival-sub: 89.0ms (18.3% of total)
ival-add: 40.0ms (8.2% of total)
const: 8.0ms (1.6% of total)
backward-pass: 3.0ms (0.6% of total)
Bogosity

preprocess196.0ms (2.1%)

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

Useful iterations: 3 (0.0ms)

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

(abs x.im)

(negabs x.re)

explain111.0ms (1.2%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
230-0-(-.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))
150-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
110-0-(*.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: 28.0ms
ival-mult: 19.0ms (67.7% of total)
ival-sub: 5.0ms (17.8% of total)
ival-add: 3.0ms (10.7% of total)
const: 1.0ms (3.6% of total)
backward-pass: 0.0ms (0% of total)

eval1.0ms (0%)

Compiler

Compiled 75 to 33 computations (56% saved)

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
85.0%
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
84.9%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
82.2%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
Compiler

Compiled 52 to 30 computations (42.3% saved)

localize434.0ms (4.6%)

Algorithm
egg-herbie
Localize:

Found 24 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
cost-diff0
(*.f64 x.im x.im)
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff128
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff128
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
cost-diff0
(*.f64 x.im #s(literal -3 binary64))
cost-diff0
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))
cost-diff0
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
cost-diff0
(pow.f64 x.re #s(literal 3 binary64))
accuracy100.0%
(*.f64 x.im #s(literal -2 binary64))
accuracy94.9%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy89.6%
(*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
accuracy88.6%
(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)))
accuracy99.8%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy95.9%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy94.9%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy92.7%
(-.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))
accuracy100.0%
(*.f64 x.im #s(literal -3 binary64))
accuracy99.8%
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))
accuracy89.6%
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
accuracy88.2%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
Rules
897×fma-neg
629×unsub-neg
627×sub-neg
589×fma-neg
513×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
014120
125116
251116
381116
483116
016275
138251
285247
3257218
4787214
52857214
65491214
77534214
016192
134187
270183
3187165
4540162
51553162
62916162
76164162
Stop Event
node limit
node limit
saturated
Calls
Call 1
Inputs
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
x.re
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
(*.f64 x.im x.im)
x.im
(*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
(*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)
(*.f64 x.im #s(literal -2 binary64))
#s(literal -2 binary64)
Outputs
(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.re (*.f64 x.im (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (+.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.im (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (fma.f64 (+.f64 x.re x.im) (-.f64 x.re x.im) (*.f64 x.im (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 x.re (fma.f64 x.re x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))))
(fma.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
x.re
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
(*.f64 x.im x.im)
x.im
(*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -2 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 x.re (*.f64 x.im x.im)))
(*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)
(*.f64 x.im (*.f64 x.im #s(literal -2 binary64)))
(*.f64 x.im #s(literal -2 binary64))
#s(literal -2 binary64)
Call 2
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 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
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))))
(-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (*.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.im (*.f64 #s(literal -2 binary64) (*.f64 x.re x.im))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #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 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(fma.f64 x.re (*.f64 x.im (neg.f64 x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (neg.f64 (*.f64 x.re x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(*.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))
(*.f64 x.re (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.im))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re (*.f64 #s(literal 2 binary64) x.im))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
Call 3
Inputs
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
Outputs
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(fma.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
Results
97.0ms256×0valid
Compiler

Compiled 148 to 47 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 39.0ms (59.6% of total)
ival-add: 10.0ms (15.3% of total)
ival-pow: 9.0ms (13.7% of total)
ival-fma: 3.0ms (4.6% of total)
ival-sub: 2.0ms (3.1% of total)
const: 2.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

series38.0ms (0.4%)

Counts
15 → 276
Calls
Call 1
Inputs
#<alt (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))>
#<alt (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))>
#<alt (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))>
#<alt (*.f64 x.im #s(literal -3 binary64))>
#<alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))>
#<alt (-.f64 (*.f64 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 (fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))>
#<alt (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))>
#<alt (*.f64 x.im #s(literal -2 binary64))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))>
#<alt (*.f64 x.re x.re)>
#<alt (*.f64 x.im x.im)>
Outputs
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 #s(literal -3 binary64) x.im)>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 #s(literal -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)))>
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#<alt (pow.f64 x.re #s(literal 2 binary64))>
#<alt (pow.f64 x.re #s(literal 2 binary64))>
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#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
Calls

72 calls:

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

rewrite399.0ms (4.2%)

Algorithm
batch-egg-rewrite
Rules
975×log1p-expm1-u
245×associate-*r*
209×expm1-log1p-u
203×add-exp-log
203×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029419
1490340
26691340
Stop Event
node limit
Counts
15 → 375
Calls
Call 1
Inputs
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))))
(*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))
(*.f64 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 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)
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im))
(*.f64 x.im #s(literal -2 binary64))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.re)
(*.f64 x.im x.im)
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))) (+.f64 (pow.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (+.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)))) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 9 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))))) (neg.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))) (pow.f64 x.re #s(literal 6 binary64))) (-.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 3 binary64))))
(pow.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (log.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 1 binary64)))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) x.re (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 (*.f64 x.im (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 x.re)) (*.f64 (*.f64 x.im (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (*.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 (*.f64 x.im (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 x.re)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64))))
(log.f64 (pow.f64 (exp.f64 x.re) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.im (sqrt.f64 #s(literal -3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im #s(literal -3 binary64)))) #s(literal 1 binary64))
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(pow.f64 (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im #s(literal -3 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 9 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) #s(literal -3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im #s(literal -3 binary64)))))
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(expm1.f64 (log1p.f64 (*.f64 x.im #s(literal -3 binary64))))
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(exp.f64 (log.f64 (*.f64 x.im #s(literal -3 binary64))))
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(+.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)))))
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(cbrt.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.im #s(literal -2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.im) #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.im #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x.im #s(literal -2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.im #s(literal -2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x.im #s(literal -2 binary64))))
(exp.f64 (log.f64 (*.f64 x.im #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im #s(literal -2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 x.re (pow.f64 x.re #s(literal 2 binary64)))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re)
(*.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) x.re))
(*.f64 (sqrt.f64 x.re) (*.f64 (sqrt.f64 x.re) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (pow.f64 x.re #s(literal 3/2 binary64)) (pow.f64 x.re #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x.re) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 x.re (cbrt.f64 (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re))
(*.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (sqrt.f64 x.re)) (sqrt.f64 x.re))
(sqrt.f64 (pow.f64 x.re #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x.re #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.re #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 x.re #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x.re #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.re #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x.re)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 x.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 x.im (+.f64 x.re x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (cbrt.f64 (*.f64 x.re x.im)) (+.f64 (pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 2 binary64)) (+.f64 (cbrt.f64 (*.f64 x.re x.im)) (cbrt.f64 (*.f64 x.re x.im))))
(*.f64 (sqrt.f64 (*.f64 x.re x.im)) (+.f64 (sqrt.f64 (*.f64 x.re x.im)) (sqrt.f64 (*.f64 x.re x.im))))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(hypot.f64 (sqrt.f64 (*.f64 x.re x.im)) (sqrt.f64 (*.f64 x.re x.im)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(fma.f64 x.im x.re (*.f64 x.re x.im))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re x.im) (*.f64 x.re x.im))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re x.im)) (*.f64 x.re x.im))
(fma.f64 (sqrt.f64 (*.f64 x.re x.im)) (sqrt.f64 (*.f64 x.re x.im)) (*.f64 x.re x.im))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x.re #s(literal 2 binary64))
(pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x.re #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.re #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x.re #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x.re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.re #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.re)))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal 1/3 binary64))
(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 x.im #s(literal 6 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 (log.f64 x.im) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)) #s(literal 1 binary64)))

simplify156.0ms (1.6%)

Algorithm
egg-herbie
Rules
123×*-commutative
70×+-commutative
52×sub-neg
37×fma-undefine
32×cube-mult
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08283030
128103030
Stop Event
unsound
Counts
651 → 448
Calls
Call 1
Inputs
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
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(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 (log.f64 x.im) #s(literal 2 binary64)))
(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))
#s(literal -27 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))))
#s(literal -27 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))))
#s(literal -27 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))))
#s(literal -27 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal -27 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))))))
#s(literal -27 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))))))
#s(literal -27 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))))))
#s(literal -27 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal -27 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))))
#s(literal -27 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))))
#s(literal -27 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))))
#s(literal -27 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal -27 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)))
#s(literal -27 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)))
#s(literal -27 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)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.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 -27 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal -27 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 -27 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal -27 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 -27 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal -27 binary64)))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 (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 -27 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal -27 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 -27 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal -27 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 -27 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal -27 binary64)))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -27 binary64)
(*.f64 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)))))
#s(literal -27 binary64)
(*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
#s(literal -27 binary64)
(*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
#s(literal -27 binary64)
(*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
#s(literal -27 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal -27 binary64)
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))
#s(literal -27 binary64)
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))
#s(literal -27 binary64)
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))
#s(literal -27 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal -27 binary64)
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.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))))))))
#s(literal -27 binary64)
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.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))))))))
#s(literal -27 binary64)
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) (+.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))))))))
#s(literal -27 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal -27 binary64)
(+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))
#s(literal -27 binary64)
(+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))
#s(literal -27 binary64)
(+.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re))) (pow.f64 x.re #s(literal 3 binary64)))
#s(literal -27 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)))
#s(literal -27 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.im #s(literal -27 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal -27 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.im #s(literal -27 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal -27 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.im #s(literal -27 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal -27 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)))
#s(literal -27 binary64)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.im #s(literal -27 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal -27 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.im #s(literal -27 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal -27 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.im #s(literal -27 binary64)) (+.f64 #s(literal -27 binary64) (/.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal -27 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
#s(literal -27 binary64)
(pow.f64 x.re #s(literal 2 binary64))
#s(literal -27 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))))))
#s(literal -27 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))))))
#s(literal -27 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))))))
#s(literal -27 binary64)
(pow.f64 x.re #s(literal 2 binary64))
#s(literal -27 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))))))
#s(literal -27 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))))))
#s(literal -27 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))))))
#s(literal -27 binary64)
(pow.f64 x.re #s(literal 2 binary64))
#s(literal -27 binary64)
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
#s(literal -27 binary64)
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
#s(literal -27 binary64)
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64)))
#s(literal -27 binary64)
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(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
#s(literal -27 binary64)
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
#s(literal -27 binary64)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -27 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -27 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))
#s(literal -27 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
#s(literal -27 binary64)
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
#s(literal -27 binary64)
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
#s(literal -27 binary64)
(/.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
#s(literal -27 binary64)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (*.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
#s(literal -27 binary64)
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
#s(literal -27 binary64)
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
#s(literal -27 binary64)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) #s(literal 0 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
#s(literal -27 binary64)
(/.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
#s(literal -27 binary64)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
#s(literal -27 binary64)
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64))))
#s(literal -27 binary64)
(/.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
#s(literal -27 binary64)
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
#s(literal -27 binary64)
(/.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 0 binary64))
#s(literal -27 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 3 binary64))
#s(literal -27 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 2 binary64))
#s(literal -27 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1 binary64))
#s(literal -27 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/2 binary64))
#s(literal -27 binary64)
(pow.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) #s(literal 1/3 binary64))
#s(literal -27 binary64)
(neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -27 binary64)
(sqrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -27 binary64)
(fabs.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -27 binary64)
(log.f64 (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -27 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
#s(literal -27 binary64)
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
#s(literal -27 binary64)
(cbrt.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
#s(literal -27 binary64)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -27 binary64)
(hypot.f64 (sqrt.f64 (*.f64 x.re x.im)) (sqrt.f64 (*.f64 x.re x.im)))
(hypot.f64 (sqrt.f64 (*.f64 x.im x.re)) (sqrt.f64 (*.f64 x.im x.re)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -27 binary64)
(exp.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
#s(literal -27 binary64)
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64)))
#s(literal -27 binary64)
(fma.f64 x.re x.im (*.f64 x.re x.im))
#s(literal -27 binary64)
(fma.f64 x.im x.re (*.f64 x.re x.im))
#s(literal -27 binary64)
(fma.f64 #s(literal 1 binary64) (*.f64 x.re x.im) (*.f64 x.re x.im))
(+.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re x.im)) (*.f64 x.re x.im))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.im x.re)) #s(literal -27 binary64)) (cbrt.f64 (*.f64 x.im x.re)) (*.f64 x.im x.re))
(fma.f64 (sqrt.f64 (*.f64 x.re x.im)) (sqrt.f64 (*.f64 x.re x.im)) (*.f64 x.re x.im))
(fma.f64 (sqrt.f64 (*.f64 x.im x.re)) (sqrt.f64 (*.f64 x.im x.re)) (*.f64 x.im x.re))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(literal -27 binary64)
(pow.f64 x.re #s(literal 2 binary64))
#s(literal -27 binary64)
(pow.f64 (pow.f64 x.re #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal -27 binary64)
(pow.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x.re) #s(literal -27 binary64)) #s(literal -27 binary64))
(pow.f64 (pow.f64 x.re #s(literal 6 binary64)) #s(literal 1/3 binary64))
#s(literal -27 binary64)
(sqrt.f64 (pow.f64 x.re #s(literal 4 binary64)))
#s(literal -27 binary64)
(log.f64 (exp.f64 (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -27 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.re #s(literal 2 binary64)))))
#s(literal -27 binary64)
(cbrt.f64 (pow.f64 x.re #s(literal 6 binary64)))
#s(literal -27 binary64)
(expm1.f64 (log1p.f64 (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -27 binary64)
(log1p.f64 (expm1.f64 (pow.f64 x.re #s(literal 2 binary64))))
#s(literal -27 binary64)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.re)))
#s(literal -27 binary64)
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64)))
#s(literal -27 binary64)
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.re)) #s(literal 1 binary64)))
#s(literal -27 binary64)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(literal -27 binary64)
(pow.f64 x.im #s(literal 2 binary64))
(pow.f64 x.im #s(literal -27 binary64))
(pow.f64 (pow.f64 x.im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 x.im #s(literal -27 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x.im) #s(literal -27 binary64)) #s(literal -27 binary64))
(pow.f64 (pow.f64 x.im #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 x.im #s(literal -27 binary64)))
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 x.im #s(literal -27 binary64)))
(log.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 x.im #s(literal -27 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(pow.f64 x.im #s(literal -27 binary64))
(cbrt.f64 (pow.f64 x.im #s(literal 6 binary64)))
(cbrt.f64 (pow.f64 x.im #s(literal -27 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x.im #s(literal 2 binary64))))
#s(literal -27 binary64)
(log1p.f64 (expm1.f64 (pow.f64 x.im #s(literal 2 binary64))))
(pow.f64 x.im #s(literal -27 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)))
(pow.f64 x.im #s(literal -27 binary64))
(exp.f64 (*.f64 (log.f64 x.im) #s(literal 2 binary64)))
(pow.f64 x.im #s(literal -27 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x.im)) #s(literal 1 binary64)))
(pow.f64 x.im #s(literal -27 binary64))

eval133.0ms (1.4%)

Compiler

Compiled 11348 to 6442 computations (43.2% saved)

prune90.0ms (0.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New5299538
Fresh000
Picked123
Done000
Total53011541
Accuracy
100.0%
Counts
541 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.6%
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
85.0%
(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))
84.9%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
77.1%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
86.9%
(-.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))
51.2%
(-.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
82.2%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
77.8%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (cbrt.f64 (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64))))))
50.5%
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
2.6%
#s(literal -27 binary64)
Compiler

Compiled 295 to 187 computations (36.6% saved)

localize753.0ms (7.9%)

Algorithm
egg-herbie
Localize:

Found 26 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
cost-diff128
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff128
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
cost-diff0
(pow.f64 x.re #s(literal 3 binary64))
cost-diff0
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
cost-diff0
(*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
cost-diff128
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff128
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
cost-diff0
(pow.f64 x.re #s(literal 3 binary64))
cost-diff0
(*.f64 x.im #s(literal -3 binary64))
cost-diff0
(*.f64 x.re x.im)
cost-diff0
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
accuracy95.9%
(*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re)
accuracy94.9%
(-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
accuracy92.7%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy77.1%
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
accuracy100.0%
(pow.f64 x.re #s(literal 3 binary64))
accuracy100.0%
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
accuracy99.8%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy99.8%
(*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
accuracy86.2%
(-.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy100.0%
(pow.f64 x.re #s(literal 3 binary64))
accuracy100.0%
(*.f64 x.re x.im)
accuracy100.0%
(*.f64 x.im #s(literal -3 binary64))
accuracy89.9%
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
Rules
1475×fma-define
762×sub-neg
747×fma-define
681×sub-neg
634×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01482
12182
23182
35982
47582
57882
011
017264
141240
2115236
3364231
41170227
53314227
66353227
0715
11015
019290
134266
271262
3211254
4581249
51387247
62644247
74057247
84335247
94367247
104379247
114387247
125281247
135545247
146341247
157461247
Stop Event
node limit
saturated
node limit
saturated
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re)
(-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
(*.f64 x.re x.re)
x.re
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(pow.f64 x.im #s(literal 4 binary64))
x.im
#s(literal 4 binary64)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Outputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))) (*.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im))))
(-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 x.im (*.f64 #s(literal -2 binary64) (*.f64 x.re x.im))))
(*.f64 x.re (-.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.re (fma.f64 (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im #s(literal -2 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (-.f64 (*.f64 x.im (*.f64 x.im #s(literal -2 binary64))) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re)
(*.f64 x.re (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))))
(fma.f64 (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (neg.f64 x.re) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
(*.f64 x.re x.re)
x.re
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(pow.f64 x.im #s(literal 4 binary64))
x.im
#s(literal 4 binary64)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(*.f64 x.im (fma.f64 x.re x.im (*.f64 x.re x.im)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))
(*.f64 x.im (*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
Call 2
Inputs
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
Outputs
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
Call 3
Inputs
(-.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
(+.f64 x.im x.re)
x.im
x.re
(+.f64 x.re #s(literal -27 binary64))
#s(literal -27 binary64)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Outputs
(-.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (+.f64 x.re #s(literal -27 binary64)) x.re)) (*.f64 x.im (fma.f64 x.re x.im (*.f64 x.im x.re))))
(-.f64 (*.f64 (+.f64 x.im x.re) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))))
(fma.f64 x.re (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
(*.f64 x.re (-.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.im))))
(*.f64 x.re (fma.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)) (*.f64 x.im (*.f64 x.im #s(literal -2 binary64)))))
(*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
(*.f64 (+.f64 x.im x.re) (*.f64 (+.f64 x.re #s(literal -27 binary64)) x.re))
(*.f64 (+.f64 x.im x.re) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))))
(*.f64 x.re (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))))
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
(+.f64 x.im x.re)
x.im
x.re
(+.f64 x.re #s(literal -27 binary64))
#s(literal -27 binary64)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(*.f64 x.im (fma.f64 x.re x.im (*.f64 x.im x.re)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)))
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal 2 binary64) x.re))
(*.f64 (*.f64 x.re #s(literal 2 binary64)) (*.f64 x.im x.im))
(*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
Call 4
Inputs
#s(literal -27 binary64)
Outputs
#s(literal -27 binary64)
Call 5
Inputs
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
Results
394.0ms254×0valid
2.0ms1valid
Compiler

Compiled 171 to 60 computations (64.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 359.0ms
ival-pow: 202.0ms (56.3% of total)
ival-fma: 106.0ms (29.5% of total)
ival-mult: 24.0ms (6.7% of total)
ival-add: 9.0ms (2.5% of total)
ival-sqrt: 8.0ms (2.2% of total)
ival-sub: 7.0ms (2% of total)
const: 3.0ms (0.8% of total)
backward-pass: 0.0ms (0% of total)

series151.0ms (1.6%)

Counts
9 → 204
Calls
Call 1
Inputs
#<alt (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 x.re x.im)>
#<alt (-.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))>
#<alt (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)>
#<alt (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))>
#<alt (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))>
#<alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))>
#<alt (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))>
#<alt (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re)>
Outputs
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 x.im x.re)>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64)))>
#<alt (+.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))>
#<alt (+.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re)) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))>
#<alt (+.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re)) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 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 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) 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) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im))) 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) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im))) x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 x.im #s(literal 27 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 27 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 27 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x.im #s(literal 27 binary64)) x.re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 27 binary64) x.im) (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) x.re))) #s(literal 27 binary64)) x.re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 27 binary64) x.im) (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) x.re))) #s(literal 27 binary64)) x.re)) #s(literal 1 binary64))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64)))>
#<alt (+.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))>
#<alt (+.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))>
#<alt (+.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))>
#<alt (*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))))>
#<alt (*.f64 x.im (+.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))>
#<alt (*.f64 x.im (+.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))>
#<alt (*.f64 x.im (+.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))>
#<alt (*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im)))))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 x.im #s(literal 27 binary64)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 27 binary64)))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 27 binary64)))))>
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Calls

51 calls:

TimeVariablePointExpression
131.0ms
x.im
@0
(- (* (- (* x.re x.re) (sqrt (pow x.im 4))) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
2.0ms
x.re
@0
(+ (* (* x.re x.im) (* x.im -3)) (pow x.re 3))
1.0ms
x.re
@inf
(- (* (* (+ x.im x.re) (+ x.re -27)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms
x.re
@-inf
(- (* (* (+ x.im x.re) (+ x.re -27)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms
x.im
@-inf
(- (* (* (+ x.im x.re) (+ x.re -27)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

rewrite221.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
663×log1p-expm1-u
221×expm1-log1p-u
215×add-cube-cbrt
211×add-exp-log
211×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031339
1515291
27402291
Stop Event
node limit
Counts
9 → 276
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
(-.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re)
(*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64)))
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
(*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re)
Outputs
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
(+.f64 (*.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.im #s(literal -3 binary64))) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 x.re #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (*.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 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))) (pow.f64 x.re #s(literal 6 binary64))) (-.f64 (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64))))
(pow.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #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 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re x.im))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re x.im)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re x.im))))
(cbrt.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re x.im)))
(log1p.f64 (expm1.f64 (*.f64 x.re x.im)))
(exp.f64 (log.f64 (*.f64 x.re x.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re x.im)) #s(literal 1 binary64)))
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(+.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 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 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 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 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 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 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (fma.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 1 binary64) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(+.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 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 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.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 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 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)))) #s(literal 1 binary64)))
(+.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 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 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 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 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))))
(*.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (pow.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))))) (sqrt.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (-.f64 (sqrt.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))))) (sqrt.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (-.f64 (pow.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))))
(/.f64 (pow.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (neg.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 x.re x.im) (*.f64 (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 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 (pow.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 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 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 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))))))
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(pow.f64 (cbrt.f64 (fma.f64 (+.f64 x.re x.im) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64))
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(*.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 (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))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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 (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 (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 (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 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)))))
(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 (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))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 x.re (-.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 x.re (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (+.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 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(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)))

simplify170.0ms (1.8%)

Algorithm
egg-herbie
Rules
163×*-commutative
91×+-commutative
61×sub-neg
41×fma-define
34×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077823075
1204623075
Stop Event
unsound
Counts
480 → 474
Calls
Call 1
Inputs
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64)))
(+.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(+.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re)) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(+.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re)) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im))) x.im)) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) x.im))) x.im)) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 x.im #s(literal 27 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 27 binary64)))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 x.re (-.f64 (+.f64 x.im x.re) #s(literal 27 binary64)))) (*.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 (+.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.im (pow.f64 x.re #s(literal 2 binary64)))) (/.f64 x.im x.re))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal 27 binary64) (/.f64 #s(literal 1 binary64) x.re)))))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 x.im #s(literal 27 binary64)) x.re)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 27 binary64) x.im) (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) x.re))) #s(literal 27 binary64)) x.re)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 x.im (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 27 binary64) x.im) (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64)))) x.re))) #s(literal 27 binary64)) x.re)) #s(literal 1 binary64))))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64)))
(+.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(+.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(+.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
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(*.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 #s(literal 1 binary64) (/.f64 (+.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 (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 (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 (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 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)))))
(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 (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))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 x.re (-.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 x.re (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (+.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 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(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)))
Outputs
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.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))))
(*.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))))
(*.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))))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 #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 0 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 0 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))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(neg.f64 (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal -1 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.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))))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64)))
(*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -27 binary64)))
(+.f64 (*.f64 x.im (*.f64 x.re (-.f64 x.re #s(literal 27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(fma.f64 x.im (*.f64 x.re (+.f64 x.re #s(literal -27 binary64))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -27 binary64))))
(+.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re)) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(fma.f64 x.im (fma.f64 #s(literal -2 binary64) (*.f64 x.im x.re) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -27 binary64))))
(+.f64 (*.f64 x.im (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re)) (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))))
(fma.f64 x.im (fma.f64 #s(literal -2 binary64) (*.f64 x.im x.re) (*.f64 x.re (+.f64 x.re #s(literal -27 binary64)))) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (+.f64 x.re #s(literal -27 binary64))))
(*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal -2 binary64))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 x.re (/.f64 (+.f64 x.re #s(literal -27 binary64)) x.im)) (*.f64 #s(literal -2 binary64) x.re)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 x.re (/.f64 (+.f64 x.re #s(literal -27 binary64)) x.im)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (+.f64 x.re #s(literal -27 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (*.f64 x.re (-.f64 x.re #s(literal 27 binary64))) x.im) (/.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (-.f64 x.re #s(literal 27 binary64))) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 x.re (/.f64 (+.f64 x.re #s(literal -27 binary64)) x.im)) (-.f64 (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (/.f64 (+.f64 x.re #s(literal -27 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) x.re))))
(*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) #s(literal -2 binary64))
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(log1p.f64 (expm1.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 x.re (-.f64 (pow.f64 x.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))))))
(*.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 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))

eval182.0ms (1.9%)

Compiler

Compiled 17119 to 9267 computations (45.9% saved)

prune207.0ms (2.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New7578765
Fresh224
Picked325
Done202
Total76412776
Accuracy
100.0%
Counts
776 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.1%
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
87.8%
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
61.5%
(pow.f64 x.re #s(literal 3 binary64))
84.9%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
77.1%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
48.7%
(-.f64 (*.f64 (*.f64 x.im (+.f64 x.re (-.f64 (*.f64 x.re (/.f64 (+.f64 x.re #s(literal -27 binary64)) x.im)) #s(literal 27 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
32.0%
(-.f64 (*.f64 (*.f64 x.im #s(literal -27 binary64)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
32.0%
(-.f64 (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
86.2%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
77.8%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (cbrt.f64 (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64))))))
50.5%
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
2.6%
#s(literal -27 binary64)
Compiler

Compiled 344 to 225 computations (34.6% saved)

localize1.1s (12%)

Algorithm
egg-herbie
Localize:

Found 38 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x.im #s(literal 4 binary64))
cost-diff0
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
cost-diff0
(*.f64 #s(literal -3 binary64) x.re)
cost-diff0
(pow.f64 x.im #s(literal 2 binary64))
cost-diff0
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
cost-diff0
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
cost-diff0
(*.f64 x.im x.im)
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff0
(*.f64 x.im x.re)
cost-diff0
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
cost-diff128
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff128
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
cost-diff0
(*.f64 x.re x.im)
cost-diff0
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
cost-diff0
(cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
cost-diff12864
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
accuracy95.9%
(*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re)
accuracy94.9%
(-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
accuracy92.7%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
accuracy77.1%
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
accuracy100.0%
(pow.f64 x.im #s(literal 2 binary64))
accuracy100.0%
(*.f64 #s(literal -3 binary64) x.re)
accuracy89.5%
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
accuracy99.8%
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
accuracy95.9%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy94.9%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy92.7%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
accuracy100.0%
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
accuracy100.0%
(-.f64 (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy99.8%
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy99.6%
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
accuracy100.0%
(*.f64 x.im #s(literal -3 binary64))
accuracy99.8%
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
accuracy89.9%
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
accuracy43.7%
(cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
Rules
875×fma-define
841×fma-neg
700×fma-define
630×fma-neg
573×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017164
127164
237164
366164
482164
585164
014177
129153
266144
3186135
4528131
51095131
61765131
73034131
83659131
93719131
103719131
113719131
016239
141235
2111230
3305206
4737202
52387202
64527202
76323202
87604202
01255
11755
23055
34655
45455
019254
137250
297245
3261242
4513237
5965235
61624235
72722235
83204235
93246235
103246235
Stop Event
saturated
saturated
node limit
saturated
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re)
(-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
(*.f64 x.re x.re)
x.re
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(pow.f64 x.im #s(literal 4 binary64))
x.im
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
#s(literal 2 binary64)
Outputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))) (*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(*.f64 x.re (-.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 x.im (*.f64 x.im #s(literal -2 binary64)))))
(fma.f64 x.re (fma.f64 (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64) (*.f64 x.im (*.f64 x.im #s(literal -2 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (fma.f64 x.im (*.f64 x.im #s(literal 2 binary64)) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))))
(*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re)
(*.f64 x.re (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))))
(fma.f64 (neg.f64 x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))))
(-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
(*.f64 x.re x.re)
x.re
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(pow.f64 x.im #s(literal 4 binary64))
x.im
#s(literal 4 binary64)
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.im)
#s(literal 2 binary64)
Call 2
Inputs
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
(pow.f64 x.im #s(literal 2 binary64))
x.im
#s(literal 2 binary64)
(*.f64 #s(literal -3 binary64) x.re)
#s(literal -3 binary64)
x.re
Outputs
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
(pow.f64 x.im #s(literal 2 binary64))
x.im
#s(literal 2 binary64)
(*.f64 #s(literal -3 binary64) x.re)
#s(literal -3 binary64)
x.re
Call 3
Inputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
#s(literal 2 binary64)
Outputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal -2 binary64))))
(*.f64 x.re (-.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.im (*.f64 x.im #s(literal 2 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re (*.f64 x.im x.im)) #s(literal -3 binary64)))
(fma.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im x.im)))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(*.f64 x.im (*.f64 x.re (*.f64 x.im #s(literal 2 binary64))))
(*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal 2 binary64))))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re (*.f64 x.im #s(literal 2 binary64)))
(*.f64 x.re x.im)
#s(literal 2 binary64)
Call 4
Inputs
(-.f64 (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
#s(literal -27 binary64)
(*.f64 x.im x.re)
x.im
x.re
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
Outputs
(-.f64 (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re)) (*.f64 x.im (fma.f64 x.re x.im (*.f64 x.im x.re))))
(-.f64 (*.f64 x.im (*.f64 x.re #s(literal -27 binary64))) (*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
(*.f64 x.im (*.f64 x.re (+.f64 #s(literal -27 binary64) (*.f64 #s(literal -2 binary64) x.im))))
(*.f64 x.im (*.f64 x.re (fma.f64 #s(literal -2 binary64) x.im #s(literal -27 binary64))))
(*.f64 x.im (*.f64 x.re (fma.f64 x.im #s(literal -2 binary64) #s(literal -27 binary64))))
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 x.re #s(literal -27 binary64)))
#s(literal -27 binary64)
(*.f64 x.im x.re)
x.im
x.re
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(*.f64 x.im (fma.f64 x.re x.im (*.f64 x.im x.re)))
(*.f64 x.im (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)))
(*.f64 x.im (*.f64 x.im (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 x.im (*.f64 x.im (*.f64 x.re #s(literal 2 binary64))))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 x.im (*.f64 #s(literal 2 binary64) x.re))
(*.f64 x.im (*.f64 x.re #s(literal 2 binary64)))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Call 5
Inputs
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
(cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
Outputs
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #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)))
(fma.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (fma.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(cbrt.f64 (fma.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (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)))
(fma.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
(pow.f64 x.re #s(literal 3 binary64))
#s(literal 3 binary64)
Results
609.0ms256×0valid
Compiler

Compiled 234 to 93 computations (60.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 455.0ms
ival-mult: 372.0ms (81.8% of total)
ival-pow: 48.0ms (10.6% of total)
ival-fma: 9.0ms (2% of total)
ival-sub: 8.0ms (1.8% of total)
ival-sqrt: 8.0ms (1.8% of total)
const: 5.0ms (1.1% of total)
ival-cbrt: 4.0ms (0.9% of total)
ival-add: 1.0ms (0.2% of total)
backward-pass: 0.0ms (0% of total)

series48.0ms (0.5%)

Counts
12 → 168
Calls
Call 1
Inputs
#<alt (cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))>
#<alt (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (-.f64 (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))>
#<alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))>
#<alt (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))>
#<alt (*.f64 #s(literal -3 binary64) x.re)>
#<alt (pow.f64 x.im #s(literal 2 binary64))>
#<alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))>
#<alt (*.f64 x.im x.re)>
#<alt (pow.f64 x.im #s(literal 4 binary64))>
Outputs
#<alt (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (cbrt.f64 #s(literal -3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (cbrt.f64 #s(literal -3 binary64))))>
#<alt (+.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (cbrt.f64 #s(literal -3 binary64))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 10 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (cbrt.f64 #s(literal -3 binary64))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 10 binary64)) (pow.f64 x.re #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 5/81 binary64) (*.f64 (cbrt.f64 (/.f64 x.re (pow.f64 x.im #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 8 binary64))))))))))>
#<alt x.re>
#<alt (*.f64 x.re (+.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 x.re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))))>
#<alt (*.f64 x.re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 6 binary64))) (*.f64 #s(literal 6 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (pow.f64 x.re #s(literal 6 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (cbrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (cbrt.f64 #s(literal -1 binary64)) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (*.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))>
#<alt x.re>
#<alt (+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))>
#<alt (+.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (+.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -5/3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) x.re))))>
#<alt (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (cbrt.f64 #s(literal -3 binary64)))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 x.re x.im)) (cbrt.f64 #s(literal -3 binary64)))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 13 binary64)) (pow.f64 x.im #s(literal 13 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 x.re x.im)) (cbrt.f64 #s(literal -3 binary64))))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 25 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 6 binary64))))) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 13 binary64)) (pow.f64 x.im #s(literal 13 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 x.re x.im)) (cbrt.f64 #s(literal -3 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (*.f64 (cbrt.f64 #s(literal -3 binary64)) (cbrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 x.re x.im)) (*.f64 (cbrt.f64 #s(literal -3 binary64)) (cbrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 13 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 x.re x.im)) (*.f64 (cbrt.f64 #s(literal -3 binary64)) (cbrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 5 binary64)) (pow.f64 x.re #s(literal 13 binary64)))) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 7 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 6 binary64))))) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 x.re x.im)) (*.f64 (cbrt.f64 #s(literal -3 binary64)) (cbrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))>
#<alt (*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x.re (-.f64 (*.f64 #s(literal 27 binary64) x.im) (*.f64 #s(literal -2 binary64) (pow.f64 x.im #s(literal 2 binary64))))))>
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#<alt (pow.f64 x.re #s(literal 3 binary64))>
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#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
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#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
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#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 x.re (-.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 x.re (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
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#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))))>
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#<alt (pow.f64 x.re #s(literal 3 binary64))>
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#<alt (pow.f64 x.re #s(literal 3 binary64))>
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Calls

63 calls:

TimeVariablePointExpression
17.0ms
x.im
@-inf
(cbrt (+ (* (* x.re x.im) (* x.im -3)) (pow x.re 3)))
5.0ms
x.re
@0
(cbrt (+ (* (* x.re x.im) (* x.im -3)) (pow x.re 3)))
3.0ms
x.im
@inf
(cbrt (+ (* (* x.re x.im) (* x.im -3)) (pow x.re 3)))
1.0ms
x.re
@-inf
(cbrt (+ (* (* x.re x.im) (* x.im -3)) (pow x.re 3)))
1.0ms
x.re
@inf
(cbrt (+ (* (* x.re x.im) (* x.im -3)) (pow x.re 3)))

rewrite226.0ms (2.4%)

Algorithm
batch-egg-rewrite
Rules
403×log1p-expm1-u
257×associate-*r*
240×expm1-log1p-u
231×pow1
229×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
040391
1677323
27783323
Stop Event
node limit
Counts
12 → 316
Calls
Call 1
Inputs
(cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64))))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
(-.f64 (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
(*.f64 #s(literal -3 binary64) x.re)
(pow.f64 x.im #s(literal 2 binary64))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(*.f64 x.im x.re)
(pow.f64 x.im #s(literal 4 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 1 binary64))
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(*.f64 (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x.im #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) x.im)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x.im) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x.im) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 x.im) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 x.im #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 x.im #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.im #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x.im #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.im #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x.im)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x.im)) #s(literal 1 binary64)))

simplify189.0ms (2%)

Algorithm
egg-herbie
Rules
192×*-commutative
89×+-commutative
45×associate-*r*
44×fma-define
38×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080721705
1208921705
Stop Event
unsound
Counts
484 → 432
Calls
Call 1
Inputs
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (cbrt.f64 #s(literal -3 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (cbrt.f64 #s(literal -3 binary64))))
(+.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (cbrt.f64 #s(literal -3 binary64))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 10 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))))))
(+.f64 (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (cbrt.f64 #s(literal -3 binary64))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 10 binary64)) (pow.f64 x.re #s(literal 5 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 5/81 binary64) (*.f64 (cbrt.f64 (/.f64 x.re (pow.f64 x.im #s(literal 16 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 8 binary64))))))))))
x.re
(*.f64 x.re (+.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 x.re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))))
(*.f64 x.re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 6 binary64))) (*.f64 #s(literal 6 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (pow.f64 x.re #s(literal 6 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (cbrt.f64 #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (cbrt.f64 #s(literal -1 binary64)) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.re (+.f64 (cbrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (*.f64 #s(literal -6 binary64) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 6 binary64)))) (*.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))))))
x.re
(+.f64 x.re (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)))
(+.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x.re))))
(+.f64 x.re (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -5/3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) x.re))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (cbrt.f64 #s(literal -3 binary64)))
(*.f64 x.im (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 x.re x.im)) (cbrt.f64 #s(literal -3 binary64)))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 13 binary64)) (pow.f64 x.im #s(literal 13 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 x.re x.im)) (cbrt.f64 #s(literal -3 binary64))))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 25 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 6 binary64))))) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 13 binary64)) (pow.f64 x.im #s(literal 13 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 x.re x.im)) (cbrt.f64 #s(literal -3 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (*.f64 (cbrt.f64 #s(literal -3 binary64)) (cbrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1/3 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 x.re x.im)) (*.f64 (cbrt.f64 #s(literal -3 binary64)) (cbrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 13 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 x.re x.im)) (*.f64 (cbrt.f64 #s(literal -3 binary64)) (cbrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 x.im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/9 binary64) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 5 binary64)) (pow.f64 x.re #s(literal 13 binary64)))) (/.f64 (cbrt.f64 #s(literal -1 binary64)) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64))))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x.im #s(literal 7 binary64)) (pow.f64 x.re #s(literal 2 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal -2/9 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 6 binary64)))) (*.f64 #s(literal 1/27 binary64) (/.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 7 binary64))) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 6 binary64))))) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64)))))) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (/.f64 x.re x.im)) (*.f64 (cbrt.f64 #s(literal -3 binary64)) (cbrt.f64 #s(literal -1 binary64)))))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
(*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
(*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
(*.f64 #s(literal -2 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 -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 #s(literal -2 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 -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -27 binary64) (/.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (-.f64 (*.f64 #s(literal -27 binary64) x.im) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
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(+.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))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 (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))))) (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 2 binary64))))
(*.f64 (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 2 binary64))) (cbrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (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 #s(literal 1 binary64) (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (sqrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (-.f64 (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)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (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 x.re (*.f64 (-.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 (sqrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.im))) (-.f64 (sqrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (sqrt.f64 x.im))))
(/.f64 #s(literal 1 binary64) (/.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 x.re (*.f64 (-.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 (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)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 3 binary64))))))
(/.f64 #s(literal 1 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)))) (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 (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)) (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 (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)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (+.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 x.re (*.f64 (-.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 (neg.f64 (-.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 3 binary64))))) (neg.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 x.re (*.f64 (-.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 (neg.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))) (neg.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 (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)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re (*.f64 (-.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 (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)) (pow.f64 (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (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 (*.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))))))))
(/.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)))
(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 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.re (*.f64 x.im (/.f64 #s(literal 0 binary64) #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)))) (*.f64 x.im (/.f64 #s(literal 0 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))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(fma.f64 (sqrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (fma.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (+.f64 (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re x.im))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re x.im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re x.im)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re x.im)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x.re) x.im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re x.im))))
(cbrt.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x.re x.im)))
(log1p.f64 (expm1.f64 (*.f64 x.re x.im)))
(exp.f64 (log.f64 (*.f64 x.re x.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re x.im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x.im #s(literal 4 binary64)))) #s(literal 1 binary64))
(*.f64 x.im (pow.f64 x.im #s(literal 3 binary64)))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))
(*.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (cbrt.f64 (pow.f64 x.im #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x.im #s(literal 8 binary64))) (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64))))
(*.f64 (pow.f64 x.im #s(literal 3 binary64)) x.im)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 x.im) #s(literal 4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x.im) #s(literal 4 binary64)) (pow.f64 (sqrt.f64 x.im) #s(literal 4 binary64)))
(*.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x.im) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 x.im #s(literal 8 binary64)))
(log.f64 (exp.f64 (pow.f64 x.im #s(literal 4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x.im #s(literal 4 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x.im #s(literal 4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x.im #s(literal 4 binary64))))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x.im)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x.im)) #s(literal 1 binary64)))
Outputs
(*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (cbrt.f64 #s(literal -3 binary64)))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (cbrt.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -3 binary64)) #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (cbrt.f64 #s(literal -3 binary64))))
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x.re
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x.re
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(*.f64 x.im x.re)
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(*.f64 x.im x.re)
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(log1p.f64 (expm1.f64 (pow.f64 x.im #s(literal 4 binary64))))
(pow.f64 x.im #s(literal 4 binary64))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x.im)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 x.im))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x.im)) #s(literal 1 binary64)))
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eval250.0ms (2.6%)

Compiler

Compiled 19401 to 12210 computations (37.1% saved)

prune288.0ms (3%)

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New9367943
Fresh145
Picked415
Done022
Total94114955
Accuracy
100.0%
Counts
955 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.1%
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
85.4%
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))) #s(literal 3 binary64))
61.5%
(pow.f64 x.re #s(literal 3 binary64))
84.9%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
73.7%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
48.7%
(-.f64 (*.f64 (*.f64 x.im (+.f64 x.re (-.f64 (*.f64 x.re (/.f64 (+.f64 x.re #s(literal -27 binary64)) x.im)) #s(literal 27 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
86.2%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
77.8%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (cbrt.f64 (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64))))))
50.5%
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re))
43.0%
(*.f64 (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) x.re))
18.8%
(*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))
32.0%
(*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
18.9%
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
2.6%
#s(literal -27 binary64)
Compiler

Compiled 319 to 220 computations (31% saved)

localize505.0ms (5.3%)

Algorithm
egg-herbie
Localize:

Found 34 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -3 binary64) x.re)
cost-diff0
(pow.f64 x.im #s(literal 4 binary64))
cost-diff0
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) x.re))
cost-diff-12544
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
cost-diff0
(*.f64 x.im x.im)
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff0
(*.f64 #s(literal -3 binary64) x.re)
cost-diff0
(*.f64 x.im x.im)
cost-diff0
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re))
cost-diff0
(*.f64 x.im x.re)
cost-diff0
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
cost-diff0
(*.f64 x.im #s(literal -3 binary64))
cost-diff0
(*.f64 x.re x.im)
cost-diff0
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
cost-diff0
(pow.f64 x.re #s(literal 3 binary64))
accuracy100.0%
(pow.f64 x.im #s(literal 4 binary64))
accuracy100.0%
(*.f64 #s(literal -3 binary64) x.re)
accuracy89.5%
(*.f64 (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) x.re))
accuracy77.1%
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
accuracy100.0%
(*.f64 x.re x.re)
accuracy100.0%
(*.f64 x.im x.im)
accuracy95.9%
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
accuracy94.9%
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy100.0%
(*.f64 x.im x.im)
accuracy100.0%
(*.f64 #s(literal -3 binary64) x.re)
accuracy89.5%
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re))
accuracy100.0%
(*.f64 x.im x.re)
accuracy99.6%
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
accuracy100.0%
(*.f64 x.re x.im)
accuracy100.0%
(*.f64 x.im #s(literal -3 binary64))
accuracy99.7%
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
accuracy88.2%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
Rules
1026×fma-define
957×distribute-lft-out
650×unsub-neg
540×fma-neg
418×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014114
125110
252110
376110
481110
01041
11441
22141
32341
01160
11760
23260
35160
013146
128146
253146
3138140
4403140
51028140
62296140
74901140
86222140
97152140
107531140
117685140
127739140
137755140
147755140
157755140
167779140
177779140
187779140
01473
11873
22573
32773
Stop Event
saturated
node limit
saturated
saturated
saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) x.re))
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(pow.f64 x.im #s(literal 4 binary64))
x.im
#s(literal 4 binary64)
(*.f64 #s(literal -3 binary64) x.re)
#s(literal -3 binary64)
x.re
Outputs
(*.f64 (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) x.re))
(sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))
(pow.f64 x.im #s(literal 4 binary64))
x.im
#s(literal 4 binary64)
(*.f64 #s(literal -3 binary64) x.re)
#s(literal -3 binary64)
x.re
Call 2
Inputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
#s(literal 0 binary64)
Outputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
(*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im x.im)))
(fma.f64 (*.f64 x.im x.im) (neg.f64 x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (*.f64 x.im (neg.f64 x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re))
(-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im x.im)))
(fma.f64 (*.f64 x.im x.im) (neg.f64 x.re) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im (*.f64 x.im (neg.f64 x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
#s(literal 0 binary64)
Call 3
Inputs
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re))
(*.f64 x.im x.im)
x.im
(*.f64 #s(literal -3 binary64) x.re)
#s(literal -3 binary64)
x.re
Outputs
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re))
(*.f64 x.im (*.f64 x.im (*.f64 #s(literal -3 binary64) x.re)))
(*.f64 x.im x.im)
x.im
(*.f64 #s(literal -3 binary64) x.re)
#s(literal -3 binary64)
x.re
Call 4
Inputs
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
#s(literal -27 binary64)
(*.f64 x.im x.re)
x.im
x.re
Outputs
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
(*.f64 x.re (*.f64 #s(literal -27 binary64) x.im))
(*.f64 x.im (*.f64 #s(literal -27 binary64) x.re))
#s(literal -27 binary64)
(*.f64 x.im x.re)
x.im
x.re
Call 5
Inputs
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 x.re x.im)
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
Outputs
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re 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)))))
(fma.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 x.re (*.f64 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)))
(*.f64 x.re x.im)
x.im
(*.f64 x.im #s(literal -3 binary64))
#s(literal -3 binary64)
Results
128.0ms256×0valid
Compiler

Compiled 119 to 51 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 56.0ms (60.9% of total)
ival-pow: 25.0ms (27.2% of total)
ival-sqrt: 4.0ms (4.3% of total)
ival-sub: 3.0ms (3.3% of total)
const: 3.0ms (3.3% of total)
ival-add: 1.0ms (1.1% of total)
backward-pass: 0.0ms (0% of total)

series8.0ms (0.1%)

Counts
5 → 120
Calls
Call 1
Inputs
#<alt (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))>
#<alt (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))>
#<alt (*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re))>
#<alt (*.f64 (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) x.re))>
#<alt (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))>
Outputs
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))>
#<alt (*.f64 #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 (*.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 -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))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (*.f64 x.re (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))>
#<alt (pow.f64 x.re #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #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 3 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (/.f64 (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 (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 -1 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 -1 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 -1 binary64) (*.f64 (pow.f64 x.im #s(literal 2 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 (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 (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 (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 (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 (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 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))>
Calls

30 calls:

TimeVariablePointExpression
0.0ms
x.re
@inf
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) 0)
0.0ms
x.re
@inf
(* (sqrt (pow x.im 4)) (* -3 x.re))
0.0ms
x.re
@0
(+ (pow x.re 3) (* (* x.re x.im) (* x.im -3)))
0.0ms
x.im
@-inf
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) 0)
0.0ms
x.im
@inf
(- (* (- (* x.re x.re) (* x.im x.im)) x.re) 0)

rewrite155.0ms (1.6%)

Algorithm
batch-egg-rewrite
Rules
951×log1p-expm1-u
864×expm1-log1p-u
185×associate-*r*
151×add-cube-cbrt
150×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027161
1408145
25038145
Stop Event
node limit
Counts
5 → 146
Calls
Call 1
Inputs
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
(*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re))
(*.f64 (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) x.re))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))) (/.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 x.re (+.f64 (pow.f64 x.re #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 (fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64))))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))))
(*.f64 (hypot.f64 (*.f64 x.im (sqrt.f64 (*.f64 x.re #s(literal -3 binary64)))) (pow.f64 x.re #s(literal 3/2 binary64))) (hypot.f64 (*.f64 x.im (sqrt.f64 (*.f64 x.re #s(literal -3 binary64)))) (pow.f64 x.re #s(literal 3/2 binary64))))
(*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) (+.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 2 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (-.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 9 binary64))) (+.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 2 binary64)))) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) (pow.f64 x.re #s(literal 9 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 2 binary64))))) (neg.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 6 binary64))) (-.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 3 binary64))))
(pow.f64 (fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (*.f64 x.im (sqrt.f64 (*.f64 x.re #s(literal -3 binary64)))) (pow.f64 x.re #s(literal 3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (log.f64 (fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 1 binary64)))
(fma.f64 x.re (pow.f64 x.re #s(literal 2 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 x.im #s(literal -3 binary64)) (*.f64 x.re x.im) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 2 binary64)) x.re (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 (*.f64 x.im (sqrt.f64 (*.f64 x.re #s(literal -3 binary64)))) (*.f64 x.im (sqrt.f64 (*.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.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))
(fma.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal -3 binary64) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.im (sqrt.f64 (*.f64 x.re #s(literal -3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.im (sqrt.f64 (*.f64 x.re #s(literal -3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x.im (sqrt.f64 (*.f64 x.re #s(literal -3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x.im #s(literal 2 binary64))) (*.f64 x.re #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.re (pow.f64 x.im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -27 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x.re #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 2 binary64))) x.re))
(+.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 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 x.re (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64)))))
(+.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (*.f64 (fma.f64 (neg.f64 x.im) x.im (pow.f64 x.im #s(literal 2 binary64))) x.re))
(+.f64 #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 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) x.re)
(*.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 #s(literal 1 binary64) (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.re))
(*.f64 (cbrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 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 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (sqrt.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)))) x.re))
(*.f64 (sqrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) (sqrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 x.re) (*.f64 (sqrt.f64 x.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.re))
(*.f64 (*.f64 x.re (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (*.f64 x.re (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 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
(*.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 x.re) #s(literal 2 binary64))) (cbrt.f64 x.re))
(*.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))) (sqrt.f64 x.re)) (sqrt.f64 x.re))
(*.f64 (/.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64))) (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))) (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (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))))
(/.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(/.f64 (neg.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))) (neg.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64))))
(/.f64 (neg.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))) (neg.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(/.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (+.f64 (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.re x.re (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (/.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) x.re) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))
(/.f64 (/.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.re)
(/.f64 (/.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(/.f64 (/.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))))
(/.f64 (/.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)) (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))))))
(pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) x.re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 2 binary64)) (pow.f64 x.im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(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)))
(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 (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 (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 (*.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))

simplify130.0ms (1.4%)

Algorithm
egg-herbie
Rules
832×fma-define
615×distribute-lft-in
611×distribute-rgt-in
290×cancel-sign-sub-inv
275×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02959552
16339464
221229354
Stop Event
node limit
Counts
266 → 170
Calls
Call 1
Inputs
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x.re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64)))) #s(literal 1 binary64))))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
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(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)))
(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 (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 (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 (*.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))
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 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (+.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 2 binary64))))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))))
(*.f64 (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)) (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.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)) (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.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)) (fma.f64 (pow.f64 x.im #s(literal 2 binary64)) (/.f64 #s(literal -3 binary64) (pow.f64 x.re #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 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))))
(pow.f64 x.re #s(literal 3 binary64))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 x.re (fma.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64)) (pow.f64 x.re #s(literal 2 binary64))))
(fma.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3 binary64) x.re) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (fma.f64 #s(literal -3 binary64) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 2 binary64)))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 x.im #s(literal 2 binary64)) x.re))
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eval117.0ms (1.2%)

Compiler

Compiled 6958 to 4862 computations (30.1% saved)

prune82.0ms (0.9%)

Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New4784482
Fresh246
Picked145
Done033
Total48115496
Accuracy
100.0%
Counts
496 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.4%
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))) #s(literal 3 binary64))
61.5%
(pow.f64 x.re #s(literal 3 binary64))
84.9%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
48.7%
(-.f64 (*.f64 (*.f64 x.im (+.f64 x.re (-.f64 (*.f64 x.re (/.f64 (+.f64 x.re #s(literal -27 binary64)) x.im)) #s(literal 27 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
86.2%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
77.8%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re x.im) (cbrt.f64 (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64)))))
65.1%
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (*.f64 x.im #s(literal -3 binary64))))
80.0%
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
50.5%
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re))
43.0%
(*.f64 (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) x.re))
18.8%
(*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))
50.5%
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
32.0%
(*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
18.9%
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
2.6%
#s(literal -27 binary64)
Compiler

Compiled 565 to 304 computations (46.2% saved)

regimes42.0ms (0.4%)

Counts
31 → 2
Calls
Call 1
Inputs
#s(literal -27 binary64)
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re))
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
(*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
(-.f64 (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (*.f64 x.im #s(literal -27 binary64)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (*.f64 x.im (+.f64 x.re (-.f64 (*.f64 x.re (/.f64 (+.f64 x.re #s(literal -27 binary64)) x.im)) #s(literal 27 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
(fma.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 (*.f64 x.im #s(literal -2 binary64)) x.im)))
(*.f64 (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) x.re))
(fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (sqrt.f64 (pow.f64 x.im #s(literal 4 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (cbrt.f64 (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64))))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (cbrt.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (*.f64 x.im #s(literal -3 binary64))))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re x.im) (cbrt.f64 (pow.f64 (*.f64 x.im #s(literal -3 binary64)) #s(literal 3 binary64)))))
(pow.f64 (cbrt.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (*.f64 x.im #s(literal -3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
Outputs
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64))))
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
Calls

3 calls:

16.0ms
x.im
16.0ms
x.re
8.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
99.9%2x.re
93.6%2x.im
97.1%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes17.0ms (0.2%)

Counts
19 → 2
Calls
Call 1
Inputs
#s(literal -27 binary64)
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re))
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
(*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
(-.f64 (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (*.f64 x.im #s(literal -27 binary64)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (*.f64 x.im (+.f64 x.re (-.f64 (*.f64 x.re (/.f64 (+.f64 x.re #s(literal -27 binary64)) x.im)) #s(literal 27 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (*.f64 #s(literal -3 binary64) x.re))
(*.f64 (pow.f64 x.im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) x.re) (*.f64 #s(literal 2 binary64) x.re)))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
Outputs
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 x.re (*.f64 x.im (*.f64 x.im #s(literal -3 binary64)))))
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
Calls

2 calls:

10.0ms
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
95.9%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))
95.9%2x.re
Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes27.0ms (0.3%)

Counts
18 → 2
Calls
Call 1
Inputs
#s(literal -27 binary64)
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re))
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
(*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
(-.f64 (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (*.f64 x.im #s(literal -27 binary64)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(-.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (+.f64 x.re #s(literal -27 binary64))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (*.f64 x.im (+.f64 x.re (-.f64 (*.f64 x.re (/.f64 (+.f64 x.re #s(literal -27 binary64)) x.im)) #s(literal 27 binary64)))) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 x.re (*.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 2 binary64))))
(*.f64 (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)))
Outputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im))
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
Calls

2 calls:

20.0ms
x.re
6.0ms
(-.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
95.9%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))
95.9%2x.re
Compiler

Compiled 24 to 13 computations (45.8% saved)

regimes15.0ms (0.2%)

Counts
9 → 2
Calls
Call 1
Inputs
#s(literal -27 binary64)
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re))
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
(*.f64 x.im (+.f64 (*.f64 #s(literal -27 binary64) x.re) (*.f64 #s(literal -2 binary64) (*.f64 x.im x.re))))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) #s(literal 0 binary64))
(-.f64 (*.f64 #s(literal -27 binary64) (*.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (*.f64 (*.f64 x.im #s(literal -27 binary64)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Outputs
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re))
(*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im))
Calls

2 calls:

8.0ms
x.im
6.0ms
x.re
Results
AccuracySegmentsBranch
84.0%3x.im
90.4%2x.re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes87.0ms (0.9%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(literal -27 binary64)
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re))
Outputs
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re))
Calls

2 calls:

85.0ms
x.im
2.0ms
x.re
Results
AccuracySegmentsBranch
50.5%1x.im
50.5%1x.re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal -27 binary64)
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
(*.f64 x.re (*.f64 x.im #s(literal -27 binary64)))
Outputs
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
Calls

2 calls:

2.0ms
x.re
2.0ms
x.im
Results
AccuracySegmentsBranch
18.9%1x.im
18.9%1x.re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -27 binary64)
Outputs
#s(literal -27 binary64)
Calls

2 calls:

0.0ms
x.im
0.0ms
x.re
Results
AccuracySegmentsBranch
2.6%1x.im
2.6%1x.re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch2.0ms (0%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
7.246774733834928e+92
2.7199932802437716e+100
Results
1.0ms16×0valid
Compiler

Compiled 52 to 32 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (113.3% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch2.0ms (0%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
7.246774733834928e+92
2.7199932802437716e+100
Results
1.0ms16×0valid
Compiler

Compiled 52 to 32 computations (38.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (118.5% of total)
ival-sub: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch18.0ms (0.2%)

Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
17.0ms
3.793549037372426e+79
1.701041840988016e+83
Results
12.0ms128×0valid
Compiler

Compiled 282 to 167 computations (40.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (57.1% of total)
ival-add: 2.0ms (22.9% of total)
ival-sub: 1.0ms (11.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

bsearch56.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
54.0ms
1.375151294024721e-51
3.3668825763576865e-46
Results
12.0ms144×0valid
Compiler

Compiled 224 to 141 computations (37.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 5.0ms (64.7% of total)
ival-sub: 1.0ms (12.9% of total)
ival-add: 1.0ms (12.9% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
20×*-commutative
13×+-commutative
10×sub-neg
distribute-lft-neg-in
distribute-rgt-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047443
176443
2100443
3117443
4127443
5131443
6132443
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x.re #s(literal 1000000000000000043377296974619186073290293324951939311791773789336116812889681110941323755520 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(if (<=.f64 x.re #s(literal 1000000000000000043377296974619186073290293324951939311791773789336116812889681110941323755520 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 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(if (<=.f64 x.re #s(literal 159999999999999994145087450094185187376434291604377084698885821494833384024686198784 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(if (<=.f64 x.re #s(literal 7898421875141789/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re))
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
#s(literal -27 binary64)
Outputs
(if (<=.f64 x.re #s(literal 1000000000000000043377296974619186073290293324951939311791773789336116812889681110941323755520 binary64)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 x.re x.im) (*.f64 x.im #s(literal -3 binary64)))) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(if (<=.f64 x.re #s(literal 1000000000000000043377296974619186073290293324951939311791773789336116812889681110941323755520 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 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(if (<=.f64 x.re #s(literal 159999999999999994145087450094185187376434291604377084698885821494833384024686198784 binary64)) (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.im)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(if (<=.f64 x.re #s(literal 159999999999999994145087450094185187376434291604377084698885821494833384024686198784 binary64)) (-.f64 (*.f64 x.re (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))) (*.f64 x.im (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(if (<=.f64 x.re #s(literal 7898421875141789/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re)) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(if (<=.f64 x.re #s(literal 7898421875141789/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))) (*.f64 (*.f64 x.re (+.f64 x.re x.im)) (-.f64 x.re x.im)))
(*.f64 (*.f64 x.im x.im) (*.f64 #s(literal -3 binary64) x.re))
(*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
(*.f64 #s(literal -27 binary64) (*.f64 x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal -27 binary64))
#s(literal -27 binary64)

soundness1.8s (19.2%)

Rules
1032×unsub-neg
975×log1p-expm1-u
951×log1p-expm1-u
864×expm1-log1p-u
663×log1p-expm1-u
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042591
1149519
2395483
31504301
44596301
56840301
67603301
027161
1408145
25038145
080721705
1208921705
040391
1677323
27783323
029419
1490340
26691340
08283030
128103030
077823075
1204623075
031339
1515291
27402291
Stop Event
fuel
node limit
unsound
unsound
node limit
node limit
unsound
node limit
node limit
Compiler

Compiled 825 to 299 computations (63.8% saved)

preprocess77.0ms (0.8%)

Remove

(abs x.im)

Compiler

Compiled 774 to 430 computations (44.4% saved)

end0.0ms (0%)

Profiling

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