math.cube on complex, imaginary part

Time bar (total: 7.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
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 21 to 13 computations (38.1% saved)

sample1.5s (20.9%)

Memory
20.4MiB live, 807.5MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 902.0ms
ival-mult: 690.0ms (76.5% of total)
ival-sub: 112.0ms (12.4% of total)
ival-add: 91.0ms (10.1% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain314.0ms (4.3%)

Memory
-38.4MiB live, 137.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
210-0-(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
150-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
110-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
00-0-(*.f64 x.re x.im)
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.re)
00-0-(*.f64 x.im x.re)
00-0-(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
00-0-x.re
00-0-x.im
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))nan-rescue210
(*.f64 x.re x.re)overflow58
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow106
(*.f64 x.im x.im)overflow59
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)overflow115
(*.f64 x.im x.re)overflow30
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)overflow61
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))overflow30
(*.f64 x.re x.im)overflow30
*.f64(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)n*o150
-.f64(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))nan-rescue110
(*.f64 x.re x.re)overflow58
(*.f64 x.im x.im)overflow59
Confusion
Predicted +Predicted -
+390
-0217
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3900
-00217
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0217
131
28
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
85.0ms512×0valid
Compiler

Compiled 218 to 48 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 18.0ms (70.7% of total)
ival-add: 4.0ms (15.7% of total)
ival-sub: 2.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess426.0ms (5.8%)

Memory
27.9MiB live, 217.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031107
19989
229285
3125957
4311155
5513355
6604855
7643355
8655355
9665755
10666455
11774755
01119
02019
13417
26517
315111
435811
5101011
6192911
7482911
8719411
0810711
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Outputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
Symmetry

(abs x.re)

(negabs x.im)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.9%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify239.0ms (3.2%)

Memory
1.6MiB live, 156.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
cost-diff128
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01165
02065
13459
26559
315153
435853
5101053
6192953
7482953
8719453
0810753
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im 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) (*.f64 x.im x.re)) x.re)
(+.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.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(*.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.re)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.im x.re)

localize80.0ms (1.1%)

Memory
-10.7MiB live, 28.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.09765625
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy2.597639736641647
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy3.6251376734114906
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy5.351519152434322
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Samples
72.0ms256×0valid
Compiler

Compiled 132 to 24 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 8.0ms (67.3% of total)
ival-add: 2.0ms (16.8% of total)
ival-sub: 1.0ms (8.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
13.3MiB live, 13.3MiB allocated
Counts
6 → 22
Calls
Call 1
Inputs
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 x.re x.re)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
Outputs
(* 2 (* x.im x.re))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 2 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x.im
@-inf
((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms
x.im
@0
((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms
x.im
@inf
((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms
x.re
@0
((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms
x.re
@inf
((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify328.0ms (4.4%)

Memory
-20.4MiB live, 138.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057180
1182170
2586170
32560170
46935170
08454170
Stop Event
iter limit
node limit
Counts
22 → 22
Calls
Call 1
Inputs
(* 2 (* x.im x.re))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 2 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
Outputs
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.im x.re) #s(literal 2 binary64))
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(- (pow x.re 2) (pow x.im 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)

rewrite259.0ms (3.5%)

Memory
1.7MiB live, 127.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01154
02054
17942
053641
Stop Event
iter limit
iter limit
iter limit
unsound
iter limit
Counts
6 → 81
Calls
Call 1
Inputs
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 x.re x.re)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
Outputs
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 x.im (+.f64 x.re x.re))
(*.f64 x.re (+.f64 x.im x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(fma.f64 x.im x.re (*.f64 x.im x.re))
(fma.f64 x.re x.im (*.f64 x.im x.re))
(-.f64 (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))
(*.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.im x.im (*.f64 x.re x.re))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) (-.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 6 binary64)) (pow.f64 (*.f64 (neg.f64 x.im) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im)) (*.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))))
(/.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.im x.im (*.f64 x.re x.re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)) (*.f64 (neg.f64 x.im) x.im))
(fma.f64 #s(literal -1 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(fma.f64 x.im (neg.f64 x.im) (*.f64 x.re x.re))
(fma.f64 x.re x.re (*.f64 (neg.f64 x.im) x.im))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 x.im x.im (*.f64 x.re x.re))) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(+.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 x.re x.re))
(+.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.im)
(*.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (*.f64 x.re x.re) x.im (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 x.im (*.f64 x.re x.re) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(+.f64 (*.f64 (*.f64 x.re x.re) x.im) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(+.f64 (*.f64 x.im (*.f64 x.re x.re)) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x.re) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))))
(*.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) (-.f64 (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))))
(fma.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.im (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 x.im (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(fma.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))))
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(+.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)
(*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(fma.f64 (*.f64 x.im x.re) x.re (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 x.re (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.im x.re)))
(+.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 x.im x.re) x.re))
(+.f64 (*.f64 x.re (*.f64 x.im x.re)) (*.f64 x.re (*.f64 x.im x.re)))

eval8.0ms (0.1%)

Memory
23.4MiB live, 23.4MiB allocated
Compiler

Compiled 2 335 to 321 computations (86.3% saved)

prune68.0ms (0.9%)

Memory
-22.1MiB live, 13.8MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New83891
Fresh000
Picked101
Done000
Total84892
Accuracy
96.8%
Counts
92 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
21.2%
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
38.3%
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
91.6%
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
65.4%
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
50.5%
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
65.5%
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
91.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
50.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
Compiler

Compiled 434 to 248 computations (42.9% saved)

simplify243.0ms (3.3%)

Memory
20.5MiB live, 179.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
cost-diff0
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im)
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff448
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff0
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
cost-diff0
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
cost-diff128
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff0
(*.f64 (*.f64 x.re x.re) x.im)
cost-diff0
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im))
cost-diff128
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(*.f64 (*.f64 x.re x.re) x.im)
cost-diff0
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
cost-diff0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
cost-diff0
(+.f64 x.im x.re)
cost-diff0
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff704
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043394
068394
1120368
2208368
3426354
4910354
52470354
65457354
08053351
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.im x.re)
x.im
x.re
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
x.re
x.im
#s(literal 3 binary64)
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
x.re
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
x.re
(*.f64 x.im x.re)
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im)
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
(pow.f64 x.re #s(literal 6 binary64))
x.re
#s(literal 6 binary64)
(pow.f64 x.im #s(literal 6 binary64))
x.im
(fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))
(*.f64 x.im x.im)
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.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 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) x.im)
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
(+.f64 x.im x.re)
(+.f64 x.re x.im)
x.im
x.re
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
x.re
x.im
#s(literal 3 binary64)
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) x.im #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
x.re
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) x.im #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re x.im)
x.re
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x.re x.re) (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))))) x.im)
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im)
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) x.im)
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))))
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
(pow.f64 x.re #s(literal 6 binary64))
x.re
#s(literal 6 binary64)
(pow.f64 x.im #s(literal 6 binary64))
x.im
(fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))
(*.f64 x.im x.im)
(fma.f64 x.im x.im (*.f64 x.re x.re))
(fma.f64 x.re x.re (*.f64 x.im x.im))
(*.f64 x.re x.re)
(pow.f64 x.re #s(literal 4 binary64))
#s(literal 4 binary64)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)

localize310.0ms (4.2%)

Memory
-13.7MiB live, 151.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.035156250000001
(fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))
accuracy5.351519152434322
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy9.035112902434324
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
accuracy48.67494111791852
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
accuracy0.01171875
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
accuracy0.09765625
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy5.351519152434322
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy26.93355513375001
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
accuracy0.09765625
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy5.351519152434322
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy7.088113365194312
(*.f64 (*.f64 x.re x.re) x.im)
accuracy28.080805821199252
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im))
accuracy0
(*.f64 x.re x.re)
accuracy0.203125
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
accuracy7.088113365194312
(*.f64 (*.f64 x.re x.re) x.im)
accuracy28.081066107220906
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
accuracy0.01171875
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
accuracy0.0859375
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
accuracy0.09765625
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy5.351519152434322
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Samples
234.0ms256×0valid
Compiler

Compiled 769 to 78 computations (89.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 133.0ms
ival-add: 70.0ms (52.8% of total)
ival-pow: 39.0ms (29.4% of total)
ival-mult: 17.0ms (12.8% of total)
ival-sub: 3.0ms (2.3% of total)
ival-div: 2.0ms (1.5% of total)
exact: 1.0ms (0.8% of total)
ival-neg: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.5%)

Memory
-17.8MiB live, 63.6MiB allocated
Counts
19 → 81
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.im x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im)
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
(fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))
Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
x.im
(+ x.im x.re)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* 2 (* x.im (pow x.re 2)))
(* -1 (pow x.im 6))
(- (pow x.re 6) (pow x.im 6))
(pow x.im 4)
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.im 4))
(+ (* (pow x.re 2) (+ (pow x.im 2) (pow x.re 2))) (pow x.im 4))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(* (pow x.re 2) (- (+ x.im (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4)))) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (- (+ x.im (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 2) (- (+ 1 (/ (* (pow x.im 2) (+ (* -1 (pow x.im 4)) (pow x.im 4))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4))))))
(pow x.re 6)
(* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 4) (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(+ (* -1 (pow x.im 6)) (pow x.re 6))
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.re 4))
(+ (* (pow x.im 2) (+ (pow x.im 2) (pow x.re 2))) (pow x.re 4))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* x.im (+ 1 (/ x.re x.im)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (+ (/ (pow x.re 4) (pow x.im 4)) (/ (pow x.re 6) (pow x.im 6)))))))) 1))
(* (pow x.im 3) (- (* -1 (/ (+ (* -1 (pow x.re 4)) (pow x.re 4)) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* (pow x.im 3) (- (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (* -1 (/ (+ (* -1 (pow x.re 4)) (pow x.re 4)) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* (pow x.im 2) (- (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 1))
(* (pow x.im 4) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 4) (+ 1 (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4)))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
x.re
@-inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg (pow x.im 3)) (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))
7.0ms
x.im
@inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg (pow x.im 3)) (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))
6.0ms
x.im
@-inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg (pow x.im 3)) (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))
4.0ms
x.re
@inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg (pow x.im 3)) (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))
4.0ms
x.re
@0
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg (pow x.im 3)) (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4)))

simplify118.0ms (1.6%)

Memory
29.5MiB live, 139.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02771207
1949986
23531863
08357830
Stop Event
iter limit
node limit
Counts
81 → 79
Calls
Call 1
Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
x.im
(+ x.im x.re)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* 2 (* x.im (pow x.re 2)))
(* -1 (pow x.im 6))
(- (pow x.re 6) (pow x.im 6))
(pow x.im 4)
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.im 4))
(+ (* (pow x.re 2) (+ (pow x.im 2) (pow x.re 2))) (pow x.im 4))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(* (pow x.re 2) (- (+ x.im (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4)))) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (- (+ x.im (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 2) (- (+ 1 (/ (* (pow x.im 2) (+ (* -1 (pow x.im 4)) (pow x.im 4))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4))))))
(pow x.re 6)
(* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 4) (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(+ (* -1 (pow x.im 6)) (pow x.re 6))
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.re 4))
(+ (* (pow x.im 2) (+ (pow x.im 2) (pow x.re 2))) (pow x.re 4))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* x.im (+ 1 (/ x.re x.im)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (+ (/ (pow x.re 4) (pow x.im 4)) (/ (pow x.re 6) (pow x.im 6)))))))) 1))
(* (pow x.im 3) (- (* -1 (/ (+ (* -1 (pow x.re 4)) (pow x.re 4)) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* (pow x.im 3) (- (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (* -1 (/ (+ (* -1 (pow x.re 4)) (pow x.re 4)) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* (pow x.im 2) (- (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 1))
(* (pow x.im 4) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 4) (+ 1 (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4)))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))
Outputs
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* 2 (* x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
x.im
(+ x.im x.re)
(+.f64 x.re x.im)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* -1 (pow x.im 6))
(neg.f64 (pow.f64 x.im #s(literal 6 binary64)))
(- (pow x.re 6) (pow x.im 6))
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
(pow x.im 4)
(pow.f64 x.im #s(literal 4 binary64))
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.im 4))
(fma.f64 (*.f64 (*.f64 x.re x.re) x.im) x.im (pow.f64 x.im #s(literal 4 binary64)))
(+ (* (pow x.re 2) (+ (pow x.im 2) (pow x.re 2))) (pow x.im 4))
(fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.re) x.re (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 (*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) x.re) x.re)
x.re
(* x.re (+ 1 (/ x.im x.re)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) x.re) x.re)
(* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (- (+ x.im (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4)))) (/ (pow x.im 3) (pow x.re 2))))
(*.f64 (*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) x.re) x.re)
(* (pow x.re 2) (- (+ x.im (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(*.f64 (*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) x.re) x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(* (pow x.re 2) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (/ (pow x.im 2) (pow x.re 2))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(* (pow x.re 2) (- (+ 1 (/ (* (pow x.im 2) (+ (* -1 (pow x.im 4)) (pow x.im 4))) (pow x.re 6))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4))))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(pow x.re 6)
(pow.f64 x.re #s(literal 6 binary64))
(* (pow x.re 6) (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64)))) (pow.f64 x.re #s(literal 6 binary64)))
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (+.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(*.f64 (*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) x.re) x.re)
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(+ (* -1 (pow x.im 6)) (pow x.re 6))
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
(+ (* (pow x.im 2) (pow x.re 2)) (pow x.re 4))
(*.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.re) x.re)
(+ (* (pow x.im 2) (+ (pow x.im 2) (pow x.re 2))) (pow x.re 4))
(fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.re) x.re (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* x.im (+ 1 (/ x.re x.im)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (+ (/ (pow x.re 4) (pow x.im 4)) (/ (pow x.re 6) (pow x.im 6)))))))) 1))
(*.f64 (-.f64 (-.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) (+.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)) (pow.f64 x.im #s(literal 4 binary64))))) (/.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)) (pow.f64 x.im #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (* -1 (/ (+ (* -1 (pow x.re 4)) (pow x.re 4)) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)
(* (pow x.im 2) (- (* -1 (/ (+ (* -1 (pow x.re 4)) (pow x.re 4)) (pow x.im 4))) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)
(* (pow x.im 2) (- (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6)) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))
(*.f64 (*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)
(* (pow x.im 6) (- (/ (pow x.re 6) (pow x.im 6)) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
(* (pow x.im 4) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (+ 1 (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4)))))
(*.f64 (+.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 x.im #s(literal 4 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))

rewrite256.0ms (3.5%)

Memory
-10.2MiB live, 351.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043268
068240
1279198
21872198
08457193
Stop Event
iter limit
node limit
iter limit
Counts
19 → 932
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.im x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im)
(/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))
(fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))) (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) (/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))) (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re))))
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) #s(literal 0 binary64) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 #s(literal 0 binary64) x.re))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) #s(literal 0 binary64) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 x.re #s(literal 0 binary64)))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) (*.f64 (-.f64 x.re x.im) x.im)) #s(literal 0 binary64) (*.f64 (-.f64 x.im x.re) (*.f64 #s(literal 0 binary64) x.re))) (*.f64 (-.f64 x.im x.re) #s(literal 0 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (-.f64 x.im x.re) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re))) (*.f64 (-.f64 x.im x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) (*.f64 (-.f64 x.re x.im) x.im)) #s(literal 0 binary64) (*.f64 (-.f64 x.im x.re) (*.f64 x.re #s(literal 0 binary64)))) (*.f64 (-.f64 x.im x.re) #s(literal 0 binary64)))
(/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (-.f64 x.im x.re) (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))) (*.f64 (-.f64 x.im x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (-.f64 x.re x.im) x.im)) #s(literal 0 binary64) (*.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) (*.f64 #s(literal 0 binary64) x.re))) (*.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re))) (*.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (-.f64 x.re x.im) x.im)) #s(literal 0 binary64) (*.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) (*.f64 x.re #s(literal 0 binary64)))) (*.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))) (*.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) x.re))) (*.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re))) (*.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) #s(literal -1 binary64)) (*.f64 x.re #s(literal 0 binary64)))) (*.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) #s(literal -1 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 1 binary64) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) #s(literal -1 binary64)) (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))) (*.f64 (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) x.im) #s(literal 0 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 #s(literal 0 binary64) x.re))) (*.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) #s(literal 0 binary64)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re))) (*.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) x.im) #s(literal 0 binary64) (*.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 x.re #s(literal 0 binary64)))) (*.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) #s(literal 0 binary64)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64)))) (neg.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64)))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64))) (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 12 binary64))) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64))))
(fma.f64 (/.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (+.f64 x.re x.im)) (/.f64 (*.f64 x.im x.im) (-.f64 x.im x.re)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (/.f64 (*.f64 x.im x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 x.im x.re)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) x.re (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(fma.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (*.f64 x.im x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (*.f64 x.im x.im) (*.f64 x.im x.im) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) x.im (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(fma.f64 x.re (pow.f64 x.re #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(fma.f64 x.im (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 x.im (pow.f64 x.im #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 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 (pow.f64 x.im #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (pow.f64 x.im #s(literal 4 binary64))))

eval93.0ms (1.3%)

Memory
24.5MiB live, 211.7MiB allocated
Compiler

Compiled 38 511 to 3 058 computations (92.1% saved)

prune26.0ms (0.4%)

Memory
15.2MiB live, 91.3MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New8998907
Fresh303
Picked415
Done000
Total9069915
Accuracy
100.0%
Counts
915 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.3%
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
90.0%
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
50.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
55.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
50.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
56.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
56.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
55.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
57.9%
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
Compiler

Compiled 513 to 294 computations (42.7% saved)

simplify140.0ms (1.9%)

Memory
-36.9MiB live, 215.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff704
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff6848
(/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))
cost-diff7488
(*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64))))
cost-diff0
(*.f64 x.re x.im)
cost-diff0
(*.f64 (*.f64 x.re x.im) x.re)
cost-diff0
(*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
cost-diff0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
cost-diff0
(*.f64 x.re x.im)
cost-diff0
(*.f64 #s(literal 3 binary64) x.re)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
cost-diff0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
cost-diff0
(*.f64 #s(literal 3 binary64) x.im)
cost-diff0
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
cost-diff0
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
cost-diff0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im))
cost-diff0
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
cost-diff0
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055365
082327
1162297
2368283
31265263
46997263
08300260
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im))
(*.f64 x.re x.re)
x.re
#s(literal 3 binary64)
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
x.re
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
(*.f64 #s(literal 3 binary64) x.re)
#s(literal 3 binary64)
x.re
(*.f64 x.re x.im)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.im) x.re)
(*.f64 x.re x.im)
x.re
x.im
#s(literal 3 binary64)
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64))))
(/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))
(-.f64 x.re x.im)
x.re
x.im
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(+.f64 x.re x.im)
(/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))
(pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (-.f64 x.re x.im) x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Outputs
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im))
(fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(*.f64 x.re x.re)
x.re
#s(literal 3 binary64)
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
x.re
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
(*.f64 #s(literal 3 binary64) x.re)
#s(literal 3 binary64)
x.re
(*.f64 x.re x.im)
(*.f64 x.im x.re)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
(*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
(*.f64 (*.f64 x.re x.im) x.re)
(*.f64 (*.f64 x.im x.re) x.re)
(*.f64 x.re x.im)
(*.f64 x.im x.re)
x.re
x.im
#s(literal 3 binary64)
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (*.f64 (+.f64 x.im x.re) x.im) (-.f64 x.re x.im))
(*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64))))
(+.f64 x.im x.re)
(/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))
(pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64))
(-.f64 x.re x.im)
x.re
x.im
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(+.f64 x.re x.im)
(+.f64 x.im x.re)
(/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))
(*.f64 (+.f64 x.im x.re) (+.f64 x.im x.re))
(pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64))
(pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 (-.f64 x.re x.im) x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x.im x.re) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.im x.re)

localize139.0ms (1.9%)

Memory
29.5MiB live, 229.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.18359375
(/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))
accuracy5.351519152434322
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy27.708116298527994
(*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64))))
accuracy27.718639356934037
(/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))
accuracy0
(*.f64 x.re x.im)
accuracy0.09765625
(*.f64 (*.f64 x.re x.im) x.re)
accuracy0.203125
(*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
accuracy28.081066107220906
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
accuracy0
(*.f64 x.re x.im)
accuracy0
(*.f64 #s(literal 3 binary64) x.re)
accuracy0.18197250976844204
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
accuracy28.081066107220906
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
accuracy0
(*.f64 #s(literal 3 binary64) x.im)
accuracy0.16796875
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
accuracy0.1953125
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
accuracy28.081066107220906
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
accuracy0
(neg.f64 x.im)
accuracy0
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
accuracy2.6796709866416464
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im))
accuracy3.6324536747803964
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
Samples
109.0ms256×0valid
Compiler

Compiled 698 to 104 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 61.0ms (67.9% of total)
ival-pow: 10.0ms (11.1% of total)
ival-add: 9.0ms (10% of total)
ival-div: 4.0ms (4.5% of total)
ival-sub: 4.0ms (4.5% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series23.0ms (0.3%)

Memory
-2.4MiB live, 36.1MiB allocated
Counts
21 → 83
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im))
(*.f64 x.re x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
(*.f64 #s(literal 3 binary64) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
(*.f64 #s(literal 3 binary64) x.re)
(*.f64 x.re x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.im) x.re)
(*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64))))
(/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(neg.f64 x.im)
(/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))
Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 x.re)
(* x.im x.re)
(* x.im (pow x.re 2))
x.im
(+ x.im x.re)
(pow x.im 2)
(+ (* 2 (* x.im x.re)) (pow x.im 2))
(+ (* x.re (+ x.re (* 2 x.im))) (pow x.im 2))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* 2 (* x.im x.re))
(/ 1 x.im)
(+ (* -1 (/ x.re (pow x.im 2))) (/ 1 x.im))
(+ (* x.re (- (/ x.re (pow x.im 3)) (/ 1 (pow x.im 2)))) (/ 1 x.im))
(+ (* x.re (- (* x.re (+ (* -1 (/ x.re (pow x.im 4))) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2)))) (/ 1 x.im))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ 1 (* 2 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (+ (* 2 (/ x.im x.re)) (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(/ 1 x.re)
(/ (+ 1 (* -1 (/ x.im x.re))) x.re)
(/ (- (+ 1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)) x.re)
(/ (- (+ 1 (* -1 (/ (pow x.im 3) (pow x.re 3)))) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))) x.re)
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -2 x.im) (* -1 (/ (pow x.im 2) x.re))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* -1 (/ (- (/ x.im x.re) 1) x.re))
(* -1 (/ (- (* -1 (/ (- (/ (pow x.im 2) x.re) x.im) x.re)) 1) x.re))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x.im 3) x.re) (pow x.im 2)) x.re)) x.im) x.re)) 1) x.re))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* 3 x.im)
(+ (* 2 (* x.im x.re)) (pow x.re 2))
(+ (* x.im (+ x.im (* 2 x.re))) (pow x.re 2))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* -1 x.im)
(+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.re))
(+ (* x.im (- (/ x.im (pow x.re 3)) (/ 1 (pow x.re 2)))) (/ 1 x.re))
(+ (* x.im (- (* x.im (+ (* -1 (/ x.im (pow x.re 4))) (/ 1 (pow x.re 3)))) (/ 1 (pow x.re 2)))) (/ 1 x.re))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (+ (/ (pow x.re 4) (pow x.im 4)) (/ (pow x.re 6) (pow x.im 6)))))))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* x.im (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (* 2 (/ x.re x.im))))
(* (pow x.im 2) (+ 1 (+ (* 2 (/ x.re x.im)) (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(/ (+ 1 (* -1 (/ x.re x.im))) x.im)
(/ (- (+ 1 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im)) x.im)
(/ (- (+ 1 (* -1 (/ (pow x.re 3) (pow x.im 3)))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im))) x.im)
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* (pow x.im 2) (+ 1 (* -1 (/ (+ (* -2 x.re) (* -1 (/ (pow x.re 2) x.im))) x.im))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (/ (- (/ x.re x.im) 1) x.im))
(* -1 (/ (- (* -1 (/ (- (/ (pow x.re 2) x.im) x.re) x.im)) 1) x.im))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x.re 3) x.im) (pow x.re 2)) x.im)) x.re) x.im)) 1) x.im))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x.im
@-inf
((+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1)) (+ (* (* (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (neg x.im) (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))))
3.0ms
x.re
@0
((+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1)) (+ (* (* (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (neg x.im) (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))))
3.0ms
x.im
@inf
((+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1)) (+ (* (* (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (neg x.im) (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))))
3.0ms
x.im
@0
((+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1)) (+ (* (* (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (neg x.im) (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))))
3.0ms
x.re
@-inf
((+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* 3 x.re) (* x.re x.im)) (* 3 x.re) (* x.re x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1)) (+ (* (* (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))) (/ (+ x.re x.im) (pow (+ x.re x.im) -1))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (neg x.im) (/ (- x.re x.im) (* (- x.re x.im) (+ x.re x.im))))

simplify204.0ms (2.8%)

Memory
-33.0MiB live, 125.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0331999
11060933
23399881
08273842
Stop Event
iter limit
node limit
Counts
83 → 81
Calls
Call 1
Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* 3 x.re)
(* x.im x.re)
(* x.im (pow x.re 2))
x.im
(+ x.im x.re)
(pow x.im 2)
(+ (* 2 (* x.im x.re)) (pow x.im 2))
(+ (* x.re (+ x.re (* 2 x.im))) (pow x.im 2))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* 2 (* x.im x.re))
(/ 1 x.im)
(+ (* -1 (/ x.re (pow x.im 2))) (/ 1 x.im))
(+ (* x.re (- (/ x.re (pow x.im 3)) (/ 1 (pow x.im 2)))) (/ 1 x.im))
(+ (* x.re (- (* x.re (+ (* -1 (/ x.re (pow x.im 4))) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2)))) (/ 1 x.im))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ 1 (* 2 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (+ (* 2 (/ x.im x.re)) (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(/ 1 x.re)
(/ (+ 1 (* -1 (/ x.im x.re))) x.re)
(/ (- (+ 1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)) x.re)
(/ (- (+ 1 (* -1 (/ (pow x.im 3) (pow x.re 3)))) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))) x.re)
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -2 x.im) (* -1 (/ (pow x.im 2) x.re))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* -1 (/ (- (/ x.im x.re) 1) x.re))
(* -1 (/ (- (* -1 (/ (- (/ (pow x.im 2) x.re) x.im) x.re)) 1) x.re))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x.im 3) x.re) (pow x.im 2)) x.re)) x.im) x.re)) 1) x.re))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* 3 x.im)
(+ (* 2 (* x.im x.re)) (pow x.re 2))
(+ (* x.im (+ x.im (* 2 x.re))) (pow x.re 2))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* -1 x.im)
(+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.re))
(+ (* x.im (- (/ x.im (pow x.re 3)) (/ 1 (pow x.re 2)))) (/ 1 x.re))
(+ (* x.im (- (* x.im (+ (* -1 (/ x.im (pow x.re 4))) (/ 1 (pow x.re 3)))) (/ 1 (pow x.re 2)))) (/ 1 x.re))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (+ (/ (pow x.re 4) (pow x.im 4)) (/ (pow x.re 6) (pow x.im 6)))))))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* x.im (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (* 2 (/ x.re x.im))))
(* (pow x.im 2) (+ 1 (+ (* 2 (/ x.re x.im)) (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(/ (+ 1 (* -1 (/ x.re x.im))) x.im)
(/ (- (+ 1 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im)) x.im)
(/ (- (+ 1 (* -1 (/ (pow x.re 3) (pow x.im 3)))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im))) x.im)
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* (pow x.im 2) (+ 1 (* -1 (/ (+ (* -2 x.re) (* -1 (/ (pow x.re 2) x.im))) x.im))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (/ (- (/ x.re x.im) 1) x.im))
(* -1 (/ (- (* -1 (/ (- (/ (pow x.re 2) x.im) x.re) x.im)) 1) x.im))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x.re 3) x.im) (pow x.re 2)) x.im)) x.re) x.im)) 1) x.im))
Outputs
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* 3 (* x.im x.re))
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* x.im x.re)
(*.f64 x.im x.re)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
x.im
(+ x.im x.re)
(+.f64 x.im x.re)
(pow x.im 2)
(*.f64 x.im x.im)
(+ (* 2 (* x.im x.re)) (pow x.im 2))
(*.f64 (fma.f64 #s(literal 2 binary64) x.re x.im) x.im)
(+ (* x.re (+ x.re (* 2 x.im))) (pow x.im 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x.im x.re) x.re (*.f64 x.im x.im))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* 2 (* x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(/ 1 x.im)
(/.f64 #s(literal 1 binary64) x.im)
(+ (* -1 (/ x.re (pow x.im 2))) (/ 1 x.im))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.re x.im)) x.im)
(+ (* x.re (- (/ x.re (pow x.im 3)) (/ 1 (pow x.im 2)))) (/ 1 x.im))
(/.f64 (fma.f64 (/.f64 x.re x.im) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) #s(literal 1 binary64)) x.im)
(+ (* x.re (- (* x.re (+ (* -1 (/ x.re (pow x.im 4))) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2)))) (/ 1 x.im))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 x.re (pow.f64 x.im #s(literal 4 binary64)))) x.re (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))) x.re (/.f64 #s(literal 1 binary64) x.im))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) (*.f64 x.re x.re))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* (pow x.re 2) (+ 1 (* 2 (/ x.im x.re))))
(*.f64 (*.f64 (fma.f64 (/.f64 x.im x.re) #s(literal 2 binary64) #s(literal 1 binary64)) x.re) x.re)
(* (pow x.re 2) (+ 1 (+ (* 2 (/ x.im x.re)) (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 x.im x.re) (+.f64 #s(literal 2 binary64) (/.f64 x.im x.re)) #s(literal 1 binary64)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(/ 1 x.re)
(/.f64 #s(literal 1 binary64) x.re)
(/ (+ 1 (* -1 (/ x.im x.re))) x.re)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re)
(/ (- (+ 1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)) x.re)
(/.f64 (fma.f64 (/.f64 x.im x.re) (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) #s(literal 1 binary64)) x.re)
(/ (- (+ 1 (* -1 (/ (pow x.im 3) (pow x.re 3)))) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re))) x.re)
(/.f64 (fma.f64 x.im (/.f64 (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64)))) x.re)
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -2 x.im) (* -1 (/ (pow x.im 2) x.re))) x.re))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.im (-.f64 #s(literal -2 binary64) (/.f64 x.im x.re))) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* -1 (/ (- (/ x.im x.re) 1) x.re))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re)
(* -1 (/ (- (* -1 (/ (- (/ (pow x.im 2) x.re) x.im) x.re)) 1) x.re))
(/.f64 (fma.f64 (/.f64 x.im x.re) (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) #s(literal 1 binary64)) x.re)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x.im 3) x.re) (pow x.im 2)) x.re)) x.im) x.re)) 1) x.re))
(/.f64 (fma.f64 x.im (/.f64 (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64)))) x.re)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(+ (* 2 (* x.im x.re)) (pow x.re 2))
(*.f64 (fma.f64 #s(literal 2 binary64) x.im x.re) x.re)
(+ (* x.im (+ x.im (* 2 x.re))) (pow x.re 2))
(fma.f64 (fma.f64 #s(literal 2 binary64) x.im x.re) x.re (*.f64 x.im x.im))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* -1 x.im)
(neg.f64 x.im)
(+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.re))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re)
(+ (* x.im (- (/ x.im (pow x.re 3)) (/ 1 (pow x.re 2)))) (/ 1 x.re))
(/.f64 (fma.f64 (/.f64 x.im x.re) (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) #s(literal 1 binary64)) x.re)
(+ (* x.im (- (* x.im (+ (* -1 (/ x.im (pow x.re 4))) (/ 1 (pow x.re 3)))) (/ 1 (pow x.re 2)))) (/ 1 x.re))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 3 binary64))) (/.f64 x.im (pow.f64 x.re #s(literal 4 binary64)))) x.im (/.f64 #s(literal -1 binary64) (*.f64 x.re x.re))) x.im (/.f64 #s(literal 1 binary64) x.re))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (*.f64 x.re (/.f64 x.re (*.f64 x.im x.im))) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(*.f64 (fma.f64 (*.f64 x.re (/.f64 x.re (*.f64 x.im x.im))) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (+ (/ (pow x.re 4) (pow x.im 4)) (/ (pow x.re 6) (pow x.im 6)))))))) 1))
(*.f64 (-.f64 (-.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (*.f64 x.re (/.f64 x.re x.im)) (/.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)) (pow.f64 x.im #s(literal 4 binary64)))) (/.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)) (pow.f64 x.im #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (*.f64 x.re (/.f64 x.re (*.f64 x.im x.im))) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (*.f64 (fma.f64 (*.f64 x.re (/.f64 x.re (*.f64 x.im x.im))) #s(literal 3 binary64) #s(literal -1 binary64)) x.im) x.im)
(* x.im (+ 1 (/ x.re x.im)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* (pow x.im 2) (+ 1 (* 2 (/ x.re x.im))))
(*.f64 (*.f64 (fma.f64 (/.f64 x.re x.im) #s(literal 2 binary64) #s(literal 1 binary64)) x.im) x.im)
(* (pow x.im 2) (+ 1 (+ (* 2 (/ x.re x.im)) (/ (pow x.re 2) (pow x.im 2)))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (+.f64 #s(literal 2 binary64) (/.f64 x.re x.im)) #s(literal 1 binary64)) (*.f64 x.im x.im))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (fma.f64 (*.f64 x.re (/.f64 x.re (*.f64 x.im x.im))) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(/ (+ 1 (* -1 (/ x.re x.im))) x.im)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.re x.im)) x.im)
(/ (- (+ 1 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im)) x.im)
(/.f64 (fma.f64 (/.f64 x.re x.im) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) #s(literal 1 binary64)) x.im)
(/ (- (+ 1 (* -1 (/ (pow x.re 3) (pow x.im 3)))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im))) x.im)
(/.f64 (fma.f64 (/.f64 x.re x.im) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 3 binary64)))) x.im)
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 (fma.f64 (*.f64 x.re (/.f64 x.re (*.f64 x.im x.im))) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))
(*.f64 (fma.f64 (*.f64 x.re (/.f64 x.re (*.f64 x.im x.im))) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))))
(*.f64 (fma.f64 (*.f64 x.re (/.f64 x.re (*.f64 x.im x.im))) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 (*.f64 x.re (/.f64 x.re (*.f64 x.im x.im))) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* (pow x.im 2) (+ 1 (* -1 (/ (+ (* -2 x.re) (* -1 (/ (pow x.re 2) x.im))) x.im))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x.re (-.f64 #s(literal -2 binary64) (/.f64 x.re x.im))) x.im)) (*.f64 x.im x.im))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(*.f64 (fma.f64 (*.f64 x.re (/.f64 x.re (*.f64 x.im x.im))) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (/ (- (/ x.re x.im) 1) x.im))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.re x.im)) x.im)
(* -1 (/ (- (* -1 (/ (- (/ (pow x.re 2) x.im) x.re) x.im)) 1) x.im))
(/.f64 (fma.f64 (/.f64 x.re x.im) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) #s(literal 1 binary64)) x.im)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow x.re 3) x.im) (pow x.re 2)) x.im)) x.re) x.im)) 1) x.im))
(/.f64 (fma.f64 (/.f64 x.re x.im) (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x.re x.im) #s(literal 3 binary64)))) x.im)

rewrite410.0ms (5.6%)

Memory
11.8MiB live, 220.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055278
082260
1330194
22619192
08223187
Stop Event
iter limit
node limit
iter limit
Counts
21 → 664
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im))
(*.f64 x.re x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
(*.f64 #s(literal 3 binary64) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
(*.f64 #s(literal 3 binary64) x.re)
(*.f64 x.re x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.im) x.re)
(*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64))))
(/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(neg.f64 x.im)
(/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)) x.im)
(*.f64 x.im (fma.f64 #s(literal 3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) x.im)) (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im)) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im))))))
(/.f64 (neg.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))))) (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im))))
(/.f64 (neg.f64 (*.f64 x.im (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im))))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im)))
(/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im)))))
(/.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 x.im x.im)))
(/.f64 (*.f64 x.im (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im) (neg.f64 x.im)))))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im (*.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(fma.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(fma.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(fma.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re (*.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(fma.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
(fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
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(/.f64 (-.f64 (*.f64 (neg.f64 x.re) (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)) (*.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) #s(literal 1 binary64))) (*.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)))
(/.f64 (-.f64 (*.f64 (neg.f64 x.re) (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re))) (*.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (neg.f64 x.im))) (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 x.re) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (*.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) x.im)) (*.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))
(/.f64 (-.f64 (-.f64 x.re x.im) (*.f64 (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re) (/.f64 x.im (+.f64 x.im x.re)))) (*.f64 (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re) (-.f64 x.re x.im)))
(/.f64 (-.f64 (+.f64 x.im x.re) (*.f64 (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re) (/.f64 x.im (-.f64 x.re x.im)))) (*.f64 (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re) (+.f64 x.im x.re)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)) (*.f64 (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re) (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re))) (*.f64 (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re) (neg.f64 x.im))) (*.f64 (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re) (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re))))
(/.f64 (-.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (*.f64 (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re) x.im)) (*.f64 (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))
(/.f64 (-.f64 (*.f64 (-.f64 x.re x.im) x.re) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 x.im (+.f64 x.im x.re)))) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (-.f64 x.re x.im)))
(/.f64 (-.f64 (*.f64 x.re (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 x.im (-.f64 x.re x.im)))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 x.re x.im)))
(/.f64 (-.f64 (*.f64 x.re (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)))
(/.f64 (-.f64 (*.f64 x.re (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re))) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (neg.f64 x.im))) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re))))
(/.f64 (-.f64 (neg.f64 x.re) (neg.f64 x.im)) (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal -1 binary64))) (fma.f64 x.im (+.f64 x.im x.re) (*.f64 x.re x.re)))
(/.f64 (-.f64 (pow.f64 (/.f64 x.re (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) #s(literal 2 binary64)) (pow.f64 (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) #s(literal 2 binary64))) (+.f64 (/.f64 x.re (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))))
(/.f64 (-.f64 (pow.f64 (/.f64 x.re (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) #s(literal 3 binary64)) (pow.f64 (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x.re (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) #s(literal 2 binary64)) (*.f64 (/.f64 x.re (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))))))
(/.f64 (/.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (-.f64 x.re x.im))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im (+.f64 x.im x.re) (*.f64 x.re x.re)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 x.re x.im))) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x.im (+.f64 x.im x.re) (*.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))
(/.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal 1 binary64)) (*.f64 (+.f64 x.im x.re) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))
(/.f64 (-.f64 (*.f64 x.re (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)) (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im (+.f64 x.im x.re) (*.f64 x.re x.re))))
(/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (neg.f64 (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 x.re x.im))))
(/.f64 (neg.f64 (-.f64 x.re x.im)) (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (+.f64 x.im x.re))))
(/.f64 #s(literal 1 binary64) (+.f64 x.im x.re))
(/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 x.im x.re)))
(/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 x.re x.im)))
(/.f64 (-.f64 x.re x.im) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))
(neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))
(fma.f64 (/.f64 x.re (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 x.im x.im (*.f64 x.re x.re)) (neg.f64 (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))))
(fma.f64 (/.f64 x.re (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))) (neg.f64 (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))))
(fma.f64 x.re (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal -1 binary64)) (neg.f64 (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))))
(-.f64 (/.f64 (pow.f64 (/.f64 x.re (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) #s(literal 2 binary64)) (+.f64 (/.f64 x.re (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))) (/.f64 (pow.f64 (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) #s(literal 2 binary64)) (+.f64 (/.f64 x.re (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))))
(-.f64 (/.f64 (pow.f64 (/.f64 x.re (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x.re (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) #s(literal 2 binary64)) (*.f64 (/.f64 x.re (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))))) (/.f64 (pow.f64 (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 x.re (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) #s(literal 2 binary64)) (*.f64 (/.f64 x.re (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))))))
(-.f64 (/.f64 (*.f64 x.re (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im (+.f64 x.im x.re) (*.f64 x.re x.re)))) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im (+.f64 x.im x.re) (*.f64 x.re x.re)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 x.re x.im))) (/.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 x.re x.im))))
(-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 x.re x.im))) (/.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 x.re x.im))))
(-.f64 (/.f64 (*.f64 x.re x.re) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 x.re x.im))) (/.f64 (*.f64 x.im x.im) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64)) (-.f64 x.re x.im))))
(-.f64 (/.f64 (+.f64 x.re #s(literal 0 binary64)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))
(-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 x.im (+.f64 x.im x.re) (*.f64 x.re x.re))) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 x.im (+.f64 x.im x.re) (*.f64 x.re x.re))) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))
(-.f64 (/.f64 (/.f64 (*.f64 x.re x.re) (+.f64 x.im x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (/.f64 (/.f64 (*.f64 x.im x.im) (+.f64 x.im x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re))) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))
(-.f64 (/.f64 x.re (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))
(exp.f64 (neg.f64 (log.f64 (+.f64 x.im x.re))))
(exp.f64 (fma.f64 (log.f64 (+.f64 x.im x.re)) #s(literal -1/2 binary64) (*.f64 (log.f64 (+.f64 x.im x.re)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 x.im x.re)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x.im x.re) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (+.f64 x.im x.re)) #s(literal -1 binary64)))
(+.f64 (/.f64 x.re (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (neg.f64 (/.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))))

eval178.0ms (2.4%)

Memory
-13.7MiB live, 143.0MiB allocated
Compiler

Compiled 30 467 to 2 876 computations (90.6% saved)

prune95.0ms (1.3%)

Memory
22.1MiB live, 61.8MiB allocated
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New6937700
Fresh213
Picked145
Done101
Total69712709
Accuracy
100.0%
Counts
709 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.3%
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
53.3%
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
91.6%
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
90.0%
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
50.5%
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im))
57.9%
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
57.9%
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
55.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
50.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
56.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
56.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
55.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
Compiler

Compiled 740 to 421 computations (43.1% saved)

simplify246.0ms (3.3%)

Memory
14.7MiB live, 172.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff384
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
cost-diff6080
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
cost-diff6080
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))
cost-diff6464
(fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re)))
cost-diff128
(neg.f64 (-.f64 x.re x.im))
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff1408
(/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))))
cost-diff1856
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))
cost-diff0
(*.f64 #s(literal 3 binary64) x.re)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)
cost-diff0
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
cost-diff0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
cost-diff0
(*.f64 (neg.f64 x.im) x.im)
cost-diff0
#s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im))
cost-diff0
(*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
cost-diff0
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
cost-diff0
(/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))
cost-diff0
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im))
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff1408
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071555
0108469
1237438
2647427
34108405
47746405
08198402
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))
(+.f64 x.im x.re)
x.im
x.re
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
#s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)
(*.f64 #s(literal 3 binary64) x.re)
#s(literal 3 binary64)
x.re
x.im
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))) (*.f64 (-.f64 x.re x.im) x.im))
(/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))))
(*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re))
(neg.f64 (-.f64 x.re x.im))
(-.f64 x.re x.im)
x.re
x.im
(+.f64 x.im x.re)
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(neg.f64 x.im)
(*.f64 x.re x.re)
(/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))
#s(literal -1 binary64)
(*.f64 (-.f64 x.re x.im) x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re)))
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64))
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
x.re
x.im
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
#s(literal 0 binary64)
(pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))
(*.f64 x.im x.re)
#s(literal 2 binary64)
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))
(pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64))
(+.f64 x.im x.re)
#s(literal -1 binary64)
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re)
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))
(pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
Outputs
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))
(+.f64 x.re x.im)
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))
(/.f64 #s(literal -1 binary64) (+.f64 x.re x.im))
(+.f64 x.im x.re)
(+.f64 x.re x.im)
x.im
x.re
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
#s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(*.f64 #s(literal 3 binary64) x.re)
#s(literal 3 binary64)
x.re
x.im
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
(/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))))
(+.f64 x.re x.im)
(*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re))
(*.f64 (-.f64 x.im x.re) (+.f64 x.re x.im))
(neg.f64 (-.f64 x.re x.im))
(-.f64 x.im x.re)
(-.f64 x.re x.im)
x.re
x.im
(+.f64 x.im x.re)
(+.f64 x.re x.im)
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))
(-.f64 x.im x.re)
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(neg.f64 x.im)
(*.f64 x.re x.re)
(/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))
(/.f64 #s(literal -1 binary64) (+.f64 x.re x.im))
#s(literal -1 binary64)
(*.f64 (-.f64 x.re x.im) x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (fma.f64 (-.f64 x.re x.im) x.im (*.f64 (/.f64 x.re (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))))) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (+.f64 x.re x.im))
(fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re)))
(*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (fma.f64 (-.f64 x.re x.im) x.im (*.f64 (/.f64 x.re (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)))))
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64))
(*.f64 (-.f64 x.re x.im) x.im)
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
x.re
x.im
#s(literal 1 binary64)
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))
(pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
#s(literal 0 binary64)
(pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))
(pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.im x.re)
(*.f64 x.re x.im)
#s(literal 2 binary64)
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))
(*.f64 (*.f64 (/.f64 x.re (+.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))
(pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64))
(pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64))
(+.f64 x.im x.re)
(+.f64 x.re x.im)
#s(literal -1 binary64)
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re)
(*.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64)) x.re)
(*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))
(pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) (+.f64 x.re x.im))

localize170.0ms (2.3%)

Memory
-3.7MiB live, 395.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.1275310849221314
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))
accuracy8.346363976657237
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
accuracy9.947467852969647
(fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re)))
accuracy33.26325790692459
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
accuracy1.999977980844482
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
accuracy5.351519152434322
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy27.614044180714743
(/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))))
accuracy27.71202386254513
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))
accuracy0
(*.f64 #s(literal 3 binary64) x.re)
accuracy0.14453125
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)
accuracy7.125576774748749
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
accuracy28.081066107220906
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
accuracy0
(neg.f64 x.im)
accuracy0
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
accuracy3.6324536747803964
(*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
accuracy30.211318724676126
#s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im))
accuracy0.0859375
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im))
accuracy0.09765625
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy0.17578125
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))
accuracy5.351519152434322
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Samples
121.0ms256×0valid
Compiler

Compiled 1 083 to 136 computations (87.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-mult: 46.0ms (50.6% of total)
ival-add: 15.0ms (16.5% of total)
ival-pow: 12.0ms (13.2% of total)
ival-div: 8.0ms (8.8% of total)
ival-pow2: 4.0ms (4.4% of total)
ival-sub: 3.0ms (3.3% of total)
ival-neg: 2.0ms (2.2% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series52.0ms (0.7%)

Memory
-7.3MiB live, 112.1MiB allocated
Counts
24 → 195
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im))
(/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
#s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (neg.f64 x.im) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)
(*.f64 #s(literal 3 binary64) x.re)
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))
(/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))))
(neg.f64 (-.f64 x.re x.im))
(fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re)))
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(neg.f64 x.im)
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
Outputs
x.im
(+ x.im x.re)
(* 2 (* x.im x.re))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(/ -1 x.im)
(- (/ x.re (pow x.im 2)) (/ 1 x.im))
(- (* x.re (+ (* -1 (/ x.re (pow x.im 3))) (/ 1 (pow x.im 2)))) (/ 1 x.im))
(- (* x.re (+ (* x.re (- (/ x.re (pow x.im 4)) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2)))) (/ 1 x.im))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (pow x.re 2))
(* 3 x.re)
(+ x.im (* -1 x.re))
(+ x.im (* x.re (+ 1 (* -1 (* x.re (- (* -1 (/ (+ x.im (* -2 x.im)) (pow x.im 2))) (/ 1 x.im)))))))
(+ x.im (* x.re (+ 1 (* x.re (+ (* -1 (- (* -1 (/ (+ x.im (* -2 x.im)) (pow x.im 2))) (/ 1 x.im))) (* -1 (/ (* (pow x.re 2) (- (* -1 (/ (+ x.im (* -2 x.im)) (pow x.im 2))) (/ 1 x.im))) (pow x.im 2))))))))
(* -1 (* (pow x.im 4) (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (pow x.im 4)) (* (pow x.im 3) x.re)))
(* (pow x.re 2) (+ (* -1 (pow x.im 4)) (* x.re (+ (* 2 (* (pow x.im 2) x.re)) (pow x.im 3)))))
(* (pow x.re 2) (+ (* -1 (pow x.im 4)) (* x.re (+ (* x.re (+ (* -2 (* x.im x.re)) (* 2 (pow x.im 2)))) (pow x.im 3)))))
(* 2 (* (pow x.im 2) (pow x.re 4)))
(* (pow x.re 4) (+ (* -2 (* x.im x.re)) (* 2 (pow x.im 2))))
(* (pow x.re 4) (+ (* 2 (pow x.im 2)) (* x.re (+ (* -2 x.im) (* 2 x.re)))))
(* (pow x.re 4) (+ (* 2 (pow x.im 2)) (* x.re (+ (* -2 x.im) (* x.re (+ 2 (* -2 (/ x.re x.im))))))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 x.re)))
(* (pow x.re 2) (+ x.im (* x.re (- (/ x.re x.im) 1))))
(* (pow x.re 2) (+ x.im (* x.re (- (* x.re (+ (* -1 (/ x.re (pow x.im 2))) (/ 1 x.im))) 1))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* 2 x.im))) (pow x.im 2)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* 2 (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -2 (pow x.im 2)) (* 2 (pow x.im 2)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -2 (pow x.im 2)) (+ (* 2 (pow x.im 2)) (* x.re (+ (* -1 (- (* -1 (/ (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2))) x.im)) (* -1 x.im))) (* 2 x.im)))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -2 (pow x.im 2)) (+ (* 2 (pow x.im 2)) (* x.re (+ (* -1 (* (pow x.re 2) (- (/ 1 x.im) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2))) x.im)) (* -1 x.im)) (pow x.im 2)))))) (+ (* -1 (- (* -1 (/ (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2))) x.im)) (* -1 x.im))) (* 2 x.im))))))))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(/ -1 x.re)
(/ (- (/ x.im x.re) 1) x.re)
(/ (- (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ 1 (* -1 (/ x.im x.re)))) x.re)
(/ (- (/ (pow x.im 3) (pow x.re 3)) (+ 1 (+ (* -1 (/ x.im x.re)) (/ (pow x.im 2) (pow x.re 2))))) x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* -1 x.re)
(* x.re (- (/ x.im x.re) 1))
(* x.re (+ 1 (* -1 (/ (+ x.im (* -2 x.im)) x.re))))
(* x.re (+ 1 (+ (* -1 (/ (+ x.im (* -2 x.im)) x.re)) (* -1 (/ (- (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))) (pow x.im 2)) (pow x.re 2))))))
(* x.re (+ 1 (+ (* -1 (/ (+ x.im (* -2 x.im)) x.re)) (+ (* -1 (/ (- (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))) (pow x.im 2)) (pow x.re 2))) (* -1 (/ (- (pow x.im 3) (* -1 (* (pow x.im 2) (+ x.im (* -2 x.im))))) (pow x.re 3)))))))
(* (pow x.re 3) (+ (* 2 (pow x.im 3)) (pow x.im 3)))
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* -1 (/ (pow x.im 4) x.re)) (+ (* 2 (pow x.im 3)) (pow x.im 3)))))
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* -1 (/ (pow x.im 4) x.re)) (+ (* 2 (/ (pow x.im 5) (pow x.re 2))) (+ (* 2 (pow x.im 3)) (pow x.im 3))))))
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* -2 (/ (pow x.im 6) (pow x.re 3))) (+ (* -1 (/ (pow x.im 4) x.re)) (+ (* 2 (/ (pow x.im 5) (pow x.re 2))) (+ (* 2 (pow x.im 3)) (pow x.im 3)))))))
(* 2 (* (pow x.im 3) (pow x.re 3)))
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (* 2 (pow x.im 3))))
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* 2 (/ (pow x.im 5) (pow x.re 2))) (* 2 (pow x.im 3)))))
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* -2 (/ (pow x.im 6) (pow x.re 3))) (+ (* 2 (/ (pow x.im 5) (pow x.re 2))) (* 2 (pow x.im 3))))))
(* (pow x.im 2) x.re)
(* x.re (+ (* -1 (/ (pow x.im 3) x.re)) (pow x.im 2)))
(* x.re (- (+ (/ (pow x.im 4) (pow x.re 2)) (pow x.im 2)) (/ (pow x.im 3) x.re)))
(* x.re (- (+ (* -1 (/ (pow x.im 5) (pow x.re 3))) (pow x.im 2)) (+ (* -1 (/ (pow x.im 4) (pow x.re 2))) (/ (pow x.im 3) x.re))))
(/ (* (pow x.re 2) (+ (* 2 (pow x.im 3)) (pow x.im 3))) (pow x.im 2))
(* (pow x.re 2) (+ x.im (+ (* -2 (/ (pow x.im 2) x.re)) (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* 2 x.im) (+ (* 2 (/ (pow x.im 2) x.re)) (/ (pow x.im 2) x.re)))))))
(* (pow x.re 2) (+ x.im (+ (* -2 (/ (pow x.im 2) x.re)) (+ (* -2 (/ (pow x.im 3) (pow x.re 2))) (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (+ (* 2 (/ (pow x.im 2) x.re)) (+ (* 2 (/ (pow x.im 3) (pow x.re 2))) (/ (pow x.im 2) x.re))))))))))
(* (pow x.re 2) (+ x.im (+ (* -2 (/ (pow x.im 2) x.re)) (+ (* -2 (/ (pow x.im 3) (pow x.re 2))) (+ (* -2 (/ (pow x.im 4) (pow x.re 3))) (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (+ (* 2 (/ (pow x.im 2) x.re)) (+ (* 2 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ (pow x.im 4) (pow x.re 3))) (/ (pow x.im 2) x.re))))))))))))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ (* -2 x.im) (* 2 x.im))) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ (* -2 x.im) (* 2 x.im))) x.re)) (+ (* -1 (/ (- (* x.im (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2)))) (pow x.im 3)) (pow x.re 2))) (* 2 x.im)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ (* -2 x.im) (* 2 x.im))) x.re)) (+ (* -1 (/ (- (* x.im (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2)))) (pow x.im 3)) (pow x.re 2))) (+ (* -1 (/ (- (* x.im (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))) (* -1 (* (pow x.im 3) (+ (* -2 x.im) (* 2 x.im))))) (pow x.re 3))) (* 2 x.im))))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* -1 (/ (+ 1 (* -1 (/ x.im x.re))) x.re))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x.im 2) x.re)) (* -1 x.im)) x.re))) x.re))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x.im 3) x.re)) (* -1 (pow x.im 2))) x.re)) (* -1 x.im)) x.re))) x.re))
(* -1 (* x.re (+ 1 (* -1 (/ x.im x.re)))))
(* -1 (* x.re (- (+ (* -2 (/ x.im x.re)) (/ x.im x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ (- (+ (* -2 (/ (pow x.im 2) x.re)) (+ (* -1 (+ x.im (* -2 x.im))) (/ (pow x.im 2) x.re))) (* -1 (/ (pow x.im 2) x.re))) x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ (+ (* -1 (+ x.im (* -2 x.im))) (* -1 (/ (- (+ (* -1 (- (+ (* -2 (pow x.im 2)) (pow x.im 2)) (* -1 (pow x.im 2)))) (/ (pow x.im 3) x.re)) (* -1 (/ (* (pow x.im 2) (+ x.im (* -2 x.im))) x.re))) x.re))) x.re)) 1)))
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (* -1 (pow x.im 3)))))
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (* -1 (pow x.im 4))) x.re)) (* -1 (pow x.im 3))))))
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (+ (* -1 (pow x.im 4)) (* 2 (/ (pow x.im 5) x.re)))) x.re)) (* -1 (pow x.im 3))))))
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (+ (* -1 (/ (+ (* -2 (pow x.im 5)) (* 2 (/ (pow x.im 6) x.re))) x.re)) (* -1 (pow x.im 4)))) x.re)) (* -1 (pow x.im 3))))))
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (* 2 (/ (pow x.im 4) x.re)))))
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (* -1 (/ (+ (* -2 (pow x.im 4)) (* 2 (/ (pow x.im 5) x.re))) x.re)))))
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (* -1 (/ (+ (* -2 (pow x.im 4)) (* -1 (/ (+ (* -2 (pow x.im 5)) (* 2 (/ (pow x.im 6) x.re))) x.re))) x.re)))))
(* -1 (* x.re (+ (* -1 (pow x.im 2)) (/ (pow x.im 3) x.re))))
(* -1 (* x.re (+ (* -1 (/ (- (/ (pow x.im 4) x.re) (pow x.im 3)) x.re)) (* -1 (pow x.im 2)))))
(* -1 (* x.re (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x.im 5) x.re) (pow x.im 4)) x.re)) (pow x.im 3)) x.re)) (* -1 (pow x.im 2)))))
(* -1 (/ (* (pow x.re 2) (+ (* -2 (pow x.im 3)) (* -1 (pow x.im 3)))) (pow x.im 2)))
(* (pow x.re 2) (+ (* -1 (/ (+ (* -2 (pow x.im 2)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (* -1 (pow x.im 4))) (pow x.im 2))) (* -1 (pow x.im 2)))) x.re)) (* -1 (/ (+ (* -2 (pow x.im 3)) (* -1 (pow x.im 3))) (pow x.im 2)))))
(* (pow x.re 2) (+ (* -1 (/ (+ (* -2 (pow x.im 2)) (+ (* -1 (/ (+ (* -2 (pow x.im 3)) (+ (* -1 (pow x.im 3)) (* 2 (pow x.im 3)))) x.re)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (* -1 (pow x.im 4))) (pow x.im 2))) (* -1 (pow x.im 2))))) x.re)) (* -1 (/ (+ (* -2 (pow x.im 3)) (* -1 (pow x.im 3))) (pow x.im 2)))))
(* (pow x.re 2) (+ (* -1 (/ (+ (* -2 (pow x.im 2)) (+ (* -1 (/ (+ (* -2 (pow x.im 3)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (* 2 (pow x.im 4))) x.re)) (+ (* -1 (pow x.im 3)) (* 2 (pow x.im 3))))) x.re)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (* -1 (pow x.im 4))) (pow x.im 2))) (* -1 (pow x.im 2))))) x.re)) (* -1 (/ (+ (* -2 (pow x.im 3)) (* -1 (pow x.im 3))) (pow x.im 2)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (/ (- (* x.im (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) (* -1 (pow x.im 3))) x.re)) (* x.im (+ (* -2 x.im) (* 2 x.im)))) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* x.im (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))) (* -1 (* (pow x.im 3) (+ (* -2 x.im) (* 2 x.im))))) x.re)) (* x.im (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2))))) (* -1 (pow x.im 3))) x.re)) (* x.im (+ (* -2 x.im) (* 2 x.im)))) x.re)) (* 2 x.im))))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(- (/ x.im (pow x.re 2)) (/ 1 x.re))
(- (* x.im (+ (* -1 (/ x.im (pow x.re 3))) (/ 1 (pow x.re 2)))) (/ 1 x.re))
(- (* x.im (+ (* x.im (- (/ x.im (pow x.re 4)) (/ 1 (pow x.re 3)))) (/ 1 (pow x.re 2)))) (/ 1 x.re))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(- x.im x.re)
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (pow x.re 3)))
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (+ (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))) (pow x.re 3))))
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (+ (* x.im (+ (* -2 (pow x.re 2)) (+ (* -1 (pow x.re 2)) (* 2 (* x.im x.re))))) (pow x.re 3))))
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (+ (* x.im (+ (* -2 (pow x.re 2)) (+ (* -1 (pow x.re 2)) (* x.im (+ (* -2 x.im) (* 2 x.re)))))) (pow x.re 3))))
(* (pow x.im 3) (+ (* -2 (* x.im (pow x.re 2))) (* 2 (pow x.re 3))))
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (* x.im (+ (* -2 (pow x.re 2)) (* 2 (* x.im x.re))))))
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (* x.im (+ (* -2 (pow x.re 2)) (* x.im (+ (* -2 x.im) (* 2 x.re)))))))
(* (pow x.im 2) (+ x.re (* -1 x.im)))
(* (pow x.im 2) (+ x.re (* x.im (- (/ x.im x.re) 1))))
(* (pow x.im 2) (+ x.re (* x.im (- (* x.im (+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.re))) 1))))
(/ (* x.im (+ (* 2 (pow x.re 3)) (pow x.re 3))) x.re)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -2 x.re) (+ (* -1 x.re) (* 2 x.re))))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -2 x.re) (+ (* -1 x.im) (+ (* -1 x.re) (* 2 x.re)))))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* -1 x.im)
(* x.im (+ (* -1 (* x.im (+ (* -2 x.re) (* 2 x.re)))) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ (* -1 x.im) (* -1 (+ (* -2 x.re) (* 2 x.re))))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ (* -1 (+ (* -2 x.re) (* 2 x.re))) (* x.im (- (* -1 (/ (* x.im (+ (* -2 x.re) (* 2 x.re))) (pow x.re 2))) 1)))) (pow x.re 2))))
(* x.im (+ 1 (/ x.re x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(/ (- (/ x.re x.im) 1) x.im)
(/ (- (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ 1 (* -1 (/ x.re x.im)))) x.im)
(/ (- (/ (pow x.re 3) (pow x.im 3)) (+ 1 (+ (* -1 (/ x.re x.im)) (/ (pow x.re 2) (pow x.im 2))))) x.im)
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (+ (/ (pow x.re 4) (pow x.im 4)) (/ (pow x.re 6) (pow x.im 6)))))))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* x.im (+ 1 (* -1 (/ x.re x.im))))
(* x.im (+ 1 (+ (* -1 (/ x.re x.im)) (* 2 (/ x.re x.im)))))
(* x.im (+ 1 (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (pow x.re 2)) (pow x.im 2))) (* 2 (/ x.re x.im))))))
(* x.im (+ 1 (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (pow x.re 2)) (pow x.im 2))) (+ (* -1 (/ (- (pow x.re 3) (* (pow x.re 2) (+ (* -1 x.re) (* 2 x.re)))) (pow x.im 3))) (* 2 (/ x.re x.im)))))))
(* (pow x.im 4) (+ (* -1 (pow x.re 2)) (/ (pow x.re 3) x.im)))
(* (pow x.im 4) (+ (* -1 (pow x.re 2)) (+ (* 2 (/ (pow x.re 4) (pow x.im 2))) (/ (pow x.re 3) x.im))))
(* (pow x.im 4) (+ (* -2 (/ (pow x.re 5) (pow x.im 3))) (+ (* -1 (pow x.re 2)) (+ (* 2 (/ (pow x.re 4) (pow x.im 2))) (/ (pow x.re 3) x.im)))))
(* (pow x.im 2) (+ (* -2 (/ (pow x.re 5) x.im)) (* 2 (pow x.re 4))))
(* (pow x.im 2) (+ (* -2 (/ (pow x.re 5) x.im)) (+ (* 2 (/ (pow x.re 6) (pow x.im 2))) (* 2 (pow x.re 4)))))
(* (pow x.im 2) (+ (* -2 (/ (pow x.re 5) x.im)) (+ (* -2 (/ (pow x.re 7) (pow x.im 3))) (+ (* 2 (/ (pow x.re 6) (pow x.im 2))) (* 2 (pow x.re 4))))))
(* x.im (+ (* -1 (/ (pow x.re 3) x.im)) (pow x.re 2)))
(* x.im (- (+ (/ (pow x.re 4) (pow x.im 2)) (pow x.re 2)) (/ (pow x.re 3) x.im)))
(* x.im (- (+ (* -1 (/ (pow x.re 5) (pow x.im 3))) (pow x.re 2)) (+ (* -1 (/ (pow x.re 4) (pow x.im 2))) (/ (pow x.re 3) x.im))))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -2 (/ (pow x.re 3) (pow x.im 3))) (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (* 2 (/ (pow x.re 3) (pow x.im 3))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))))) 1))
(* (pow x.im 3) (- (+ (* -2 (/ x.re x.im)) (* 2 (/ x.re x.im))) 1))
(* (pow x.im 3) (- (+ (* -2 (/ x.re x.im)) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (* 4 (pow x.re 2)))) (* -1 (pow x.re 2))) (pow x.im 2))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2)))))) 1))
(* (pow x.im 3) (- (+ (* -2 (/ x.re x.im)) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (* 4 (pow x.re 2)))) (* -1 (pow x.re 2))) (pow x.im 2))) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3)))) (* (pow x.re 2) (+ (* -2 x.re) (* 2 x.re)))) (pow x.im 3))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2))))))) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (/ (+ 1 (* -1 (/ x.re x.im))) x.im))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x.re 2) x.im)) (* -1 x.re)) x.im))) x.im))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x.re 3) x.im)) (* -1 (pow x.re 2))) x.im)) (* -1 x.re)) x.im))) x.im))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* x.im (- (/ x.re x.im) 1)))
(* -1 (* x.im (- (+ (* -2 (/ x.re x.im)) (/ x.re x.im)) 1)))
(* -1 (* x.im (- (* -1 (/ (+ (* -1 (+ x.re (* -2 x.re))) (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (pow x.re 2)) x.im))) x.im)) 1)))
(* -1 (* x.im (- (* -1 (/ (+ (* -1 (+ x.re (* -2 x.re))) (* -1 (/ (- (+ (* -1 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (* -1 (/ (- (* -1 (pow x.re 3)) (* (pow x.re 2) (+ x.re (* -2 x.re)))) x.im))) (pow x.re 2)) x.im))) x.im)) 1)))
(* (pow x.im 4) (+ (* -1 (/ (+ (* -2 (/ (pow x.re 4) x.im)) (* -1 (pow x.re 3))) x.im)) (* -1 (pow x.re 2))))
(* (pow x.im 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x.re 5) x.im)) (* 2 (pow x.re 4))) x.im)) (* -1 (pow x.re 3))) x.im)) (* -1 (pow x.re 2))))
(* (pow x.im 2) (+ (* -1 (/ (+ (* -2 (/ (pow x.re 6) x.im)) (* 2 (pow x.re 5))) x.im)) (* 2 (pow x.re 4))))
(* (pow x.im 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x.re 7) x.im)) (* 2 (pow x.re 6))) x.im)) (* 2 (pow x.re 5))) x.im)) (* 2 (pow x.re 4))))
(* -1 (* x.im (+ (* -1 (pow x.re 2)) (/ (pow x.re 3) x.im))))
(* -1 (* x.im (+ (* -1 (/ (- (/ (pow x.re 4) x.im) (pow x.re 3)) x.im)) (* -1 (pow x.re 2)))))
(* -1 (* x.im (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x.re 5) x.im) (pow x.re 4)) x.im)) (pow x.re 3)) x.im)) (* -1 (pow x.re 2)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im)))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -2 (pow x.re 2)) (+ (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) x.im)) (* -1 (pow x.re 2)))) x.im)))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -2 x.re) (* 2 x.re)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -2 x.re) (+ (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (- (* -1 (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2)))) (pow x.re 2)))) x.im)) (* 2 x.re))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -2 x.re) (+ (* -1 (/ (- (+ (* -2 (pow x.re 2)) (+ (* -1 (- (* -1 (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2)))) (pow x.re 2))) (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) x.im)))) (/ (* (pow x.re 2) (+ (* -2 x.re) (* 2 x.re))) x.im)) x.im)) (* 2 x.re))) x.im)))))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
x.re
@inf
((/ -1 (/ -1 (+ x.im x.re))) (+ (* x.re x.im) (* x.im x.re)) (* (/ -1 (/ -1 (+ x.im x.re))) (* (- x.re x.im) x.im)) (/ -1 (+ x.im x.re)) (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re))) (/ (* (neg (- x.re x.im)) (+ x.im x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re)))) (neg (- x.re x.im)) (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re)) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2))) (/ (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2)))) (+ (* (/ -1 (/ -1 (+ x.im x.re))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (neg x.im) (+ (* (/ (* (neg (- x.re x.im)) (+ x.im x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re)))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (neg x.im) x.im) (* x.re x.re)))
10.0ms
x.re
@0
((/ -1 (/ -1 (+ x.im x.re))) (+ (* x.re x.im) (* x.im x.re)) (* (/ -1 (/ -1 (+ x.im x.re))) (* (- x.re x.im) x.im)) (/ -1 (+ x.im x.re)) (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re))) (/ (* (neg (- x.re x.im)) (+ x.im x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re)))) (neg (- x.re x.im)) (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re)) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2))) (/ (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2)))) (+ (* (/ -1 (/ -1 (+ x.im x.re))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (neg x.im) (+ (* (/ (* (neg (- x.re x.im)) (+ x.im x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re)))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (neg x.im) x.im) (* x.re x.re)))
8.0ms
x.im
@0
((/ -1 (/ -1 (+ x.im x.re))) (+ (* x.re x.im) (* x.im x.re)) (* (/ -1 (/ -1 (+ x.im x.re))) (* (- x.re x.im) x.im)) (/ -1 (+ x.im x.re)) (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re))) (/ (* (neg (- x.re x.im)) (+ x.im x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re)))) (neg (- x.re x.im)) (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re)) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2))) (/ (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2)))) (+ (* (/ -1 (/ -1 (+ x.im x.re))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (neg x.im) (+ (* (/ (* (neg (- x.re x.im)) (+ x.im x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re)))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (neg x.im) x.im) (* x.re x.re)))
7.0ms
x.im
@inf
((/ -1 (/ -1 (+ x.im x.re))) (+ (* x.re x.im) (* x.im x.re)) (* (/ -1 (/ -1 (+ x.im x.re))) (* (- x.re x.im) x.im)) (/ -1 (+ x.im x.re)) (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re))) (/ (* (neg (- x.re x.im)) (+ x.im x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re)))) (neg (- x.re x.im)) (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re)) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2))) (/ (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2)))) (+ (* (/ -1 (/ -1 (+ x.im x.re))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (neg x.im) (+ (* (/ (* (neg (- x.re x.im)) (+ x.im x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re)))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (neg x.im) x.im) (* x.re x.re)))
7.0ms
x.re
@-inf
((/ -1 (/ -1 (+ x.im x.re))) (+ (* x.re x.im) (* x.im x.re)) (* (/ -1 (/ -1 (+ x.im x.re))) (* (- x.re x.im) x.im)) (/ -1 (+ x.im x.re)) (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* 3 x.re) x.re) x.im) (* (* 3 x.re) x.re) (* 3 x.re) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re))) (/ (* (neg (- x.re x.im)) (+ x.im x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re)))) (neg (- x.re x.im)) (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re)) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2))) (/ (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2)))) (+ (* (/ -1 (/ -1 (+ x.im x.re))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (neg x.im) (+ (* (/ (* (neg (- x.re x.im)) (+ x.im x.re)) (* (+ (* (neg x.im) x.im) (* x.re x.re)) (/ -1 (+ x.im x.re)))) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* (neg x.im) x.im) (* x.re x.re)))

simplify177.0ms (2.4%)

Memory
-2.1MiB live, 279.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010284002
137383507
084143335
Stop Event
iter limit
node limit
Counts
195 → 193
Calls
Call 1
Inputs
x.im
(+ x.im x.re)
(* 2 (* x.im x.re))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(/ -1 x.im)
(- (/ x.re (pow x.im 2)) (/ 1 x.im))
(- (* x.re (+ (* -1 (/ x.re (pow x.im 3))) (/ 1 (pow x.im 2)))) (/ 1 x.im))
(- (* x.re (+ (* x.re (- (/ x.re (pow x.im 4)) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2)))) (/ 1 x.im))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (pow x.re 2))
(* 3 x.re)
(+ x.im (* -1 x.re))
(+ x.im (* x.re (+ 1 (* -1 (* x.re (- (* -1 (/ (+ x.im (* -2 x.im)) (pow x.im 2))) (/ 1 x.im)))))))
(+ x.im (* x.re (+ 1 (* x.re (+ (* -1 (- (* -1 (/ (+ x.im (* -2 x.im)) (pow x.im 2))) (/ 1 x.im))) (* -1 (/ (* (pow x.re 2) (- (* -1 (/ (+ x.im (* -2 x.im)) (pow x.im 2))) (/ 1 x.im))) (pow x.im 2))))))))
(* -1 (* (pow x.im 4) (pow x.re 2)))
(* (pow x.re 2) (+ (* -1 (pow x.im 4)) (* (pow x.im 3) x.re)))
(* (pow x.re 2) (+ (* -1 (pow x.im 4)) (* x.re (+ (* 2 (* (pow x.im 2) x.re)) (pow x.im 3)))))
(* (pow x.re 2) (+ (* -1 (pow x.im 4)) (* x.re (+ (* x.re (+ (* -2 (* x.im x.re)) (* 2 (pow x.im 2)))) (pow x.im 3)))))
(* 2 (* (pow x.im 2) (pow x.re 4)))
(* (pow x.re 4) (+ (* -2 (* x.im x.re)) (* 2 (pow x.im 2))))
(* (pow x.re 4) (+ (* 2 (pow x.im 2)) (* x.re (+ (* -2 x.im) (* 2 x.re)))))
(* (pow x.re 4) (+ (* 2 (pow x.im 2)) (* x.re (+ (* -2 x.im) (* x.re (+ 2 (* -2 (/ x.re x.im))))))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 x.re)))
(* (pow x.re 2) (+ x.im (* x.re (- (/ x.re x.im) 1))))
(* (pow x.re 2) (+ x.im (* x.re (- (* x.re (+ (* -1 (/ x.re (pow x.im 2))) (/ 1 x.im))) 1))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* 2 x.im))) (pow x.im 2)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* 2 (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -2 (pow x.im 2)) (* 2 (pow x.im 2)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -2 (pow x.im 2)) (+ (* 2 (pow x.im 2)) (* x.re (+ (* -1 (- (* -1 (/ (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2))) x.im)) (* -1 x.im))) (* 2 x.im)))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -2 (pow x.im 2)) (+ (* 2 (pow x.im 2)) (* x.re (+ (* -1 (* (pow x.re 2) (- (/ 1 x.im) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2))) x.im)) (* -1 x.im)) (pow x.im 2)))))) (+ (* -1 (- (* -1 (/ (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2))) x.im)) (* -1 x.im))) (* 2 x.im))))))))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(/ -1 x.re)
(/ (- (/ x.im x.re) 1) x.re)
(/ (- (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ 1 (* -1 (/ x.im x.re)))) x.re)
(/ (- (/ (pow x.im 3) (pow x.re 3)) (+ 1 (+ (* -1 (/ x.im x.re)) (/ (pow x.im 2) (pow x.re 2))))) x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (- (+ x.im (+ (* -1 (/ (+ (* -1 (pow x.im 5)) (pow x.im 5)) (pow x.re 4))) (* 2 x.im))) (/ (pow x.im 3) (pow x.re 2))))
(* (pow x.re 2) (- (+ x.im (+ (* 2 x.im) (/ (* (pow x.im 2) (+ (* -1 (pow x.im 5)) (pow x.im 5))) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (+ (/ (pow x.im 3) (pow x.re 2)) (/ (pow x.im 5) (pow x.re 4))))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* -1 x.re)
(* x.re (- (/ x.im x.re) 1))
(* x.re (+ 1 (* -1 (/ (+ x.im (* -2 x.im)) x.re))))
(* x.re (+ 1 (+ (* -1 (/ (+ x.im (* -2 x.im)) x.re)) (* -1 (/ (- (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))) (pow x.im 2)) (pow x.re 2))))))
(* x.re (+ 1 (+ (* -1 (/ (+ x.im (* -2 x.im)) x.re)) (+ (* -1 (/ (- (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))) (pow x.im 2)) (pow x.re 2))) (* -1 (/ (- (pow x.im 3) (* -1 (* (pow x.im 2) (+ x.im (* -2 x.im))))) (pow x.re 3)))))))
(* (pow x.re 3) (+ (* 2 (pow x.im 3)) (pow x.im 3)))
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* -1 (/ (pow x.im 4) x.re)) (+ (* 2 (pow x.im 3)) (pow x.im 3)))))
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* -1 (/ (pow x.im 4) x.re)) (+ (* 2 (/ (pow x.im 5) (pow x.re 2))) (+ (* 2 (pow x.im 3)) (pow x.im 3))))))
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* -2 (/ (pow x.im 6) (pow x.re 3))) (+ (* -1 (/ (pow x.im 4) x.re)) (+ (* 2 (/ (pow x.im 5) (pow x.re 2))) (+ (* 2 (pow x.im 3)) (pow x.im 3)))))))
(* 2 (* (pow x.im 3) (pow x.re 3)))
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (* 2 (pow x.im 3))))
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* 2 (/ (pow x.im 5) (pow x.re 2))) (* 2 (pow x.im 3)))))
(* (pow x.re 3) (+ (* -2 (/ (pow x.im 4) x.re)) (+ (* -2 (/ (pow x.im 6) (pow x.re 3))) (+ (* 2 (/ (pow x.im 5) (pow x.re 2))) (* 2 (pow x.im 3))))))
(* (pow x.im 2) x.re)
(* x.re (+ (* -1 (/ (pow x.im 3) x.re)) (pow x.im 2)))
(* x.re (- (+ (/ (pow x.im 4) (pow x.re 2)) (pow x.im 2)) (/ (pow x.im 3) x.re)))
(* x.re (- (+ (* -1 (/ (pow x.im 5) (pow x.re 3))) (pow x.im 2)) (+ (* -1 (/ (pow x.im 4) (pow x.re 2))) (/ (pow x.im 3) x.re))))
(/ (* (pow x.re 2) (+ (* 2 (pow x.im 3)) (pow x.im 3))) (pow x.im 2))
(* (pow x.re 2) (+ x.im (+ (* -2 (/ (pow x.im 2) x.re)) (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* 2 x.im) (+ (* 2 (/ (pow x.im 2) x.re)) (/ (pow x.im 2) x.re)))))))
(* (pow x.re 2) (+ x.im (+ (* -2 (/ (pow x.im 2) x.re)) (+ (* -2 (/ (pow x.im 3) (pow x.re 2))) (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (+ (* 2 (/ (pow x.im 2) x.re)) (+ (* 2 (/ (pow x.im 3) (pow x.re 2))) (/ (pow x.im 2) x.re))))))))))
(* (pow x.re 2) (+ x.im (+ (* -2 (/ (pow x.im 2) x.re)) (+ (* -2 (/ (pow x.im 3) (pow x.re 2))) (+ (* -2 (/ (pow x.im 4) (pow x.re 3))) (+ (* -1 (/ (pow x.im 2) x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (+ (* 2 (/ (pow x.im 2) x.re)) (+ (* 2 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ (pow x.im 4) (pow x.re 3))) (/ (pow x.im 2) x.re))))))))))))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ (* -2 x.im) (* 2 x.im))) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ (* -2 x.im) (* 2 x.im))) x.re)) (+ (* -1 (/ (- (* x.im (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2)))) (pow x.im 3)) (pow x.re 2))) (* 2 x.im)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (* x.im (+ (* -2 x.im) (* 2 x.im))) x.re)) (+ (* -1 (/ (- (* x.im (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2)))) (pow x.im 3)) (pow x.re 2))) (+ (* -1 (/ (- (* x.im (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))) (* -1 (* (pow x.im 3) (+ (* -2 x.im) (* 2 x.im))))) (pow x.re 3))) (* 2 x.im))))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* -1 (/ (+ 1 (* -1 (/ x.im x.re))) x.re))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x.im 2) x.re)) (* -1 x.im)) x.re))) x.re))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x.im 3) x.re)) (* -1 (pow x.im 2))) x.re)) (* -1 x.im)) x.re))) x.re))
(* -1 (* x.re (+ 1 (* -1 (/ x.im x.re)))))
(* -1 (* x.re (- (+ (* -2 (/ x.im x.re)) (/ x.im x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ (- (+ (* -2 (/ (pow x.im 2) x.re)) (+ (* -1 (+ x.im (* -2 x.im))) (/ (pow x.im 2) x.re))) (* -1 (/ (pow x.im 2) x.re))) x.re)) 1)))
(* -1 (* x.re (- (* -1 (/ (+ (* -1 (+ x.im (* -2 x.im))) (* -1 (/ (- (+ (* -1 (- (+ (* -2 (pow x.im 2)) (pow x.im 2)) (* -1 (pow x.im 2)))) (/ (pow x.im 3) x.re)) (* -1 (/ (* (pow x.im 2) (+ x.im (* -2 x.im))) x.re))) x.re))) x.re)) 1)))
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (* -1 (pow x.im 3)))))
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (* -1 (pow x.im 4))) x.re)) (* -1 (pow x.im 3))))))
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (+ (* -1 (pow x.im 4)) (* 2 (/ (pow x.im 5) x.re)))) x.re)) (* -1 (pow x.im 3))))))
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (+ (* -1 (/ (+ (* -2 (pow x.im 5)) (* 2 (/ (pow x.im 6) x.re))) x.re)) (* -1 (pow x.im 4)))) x.re)) (* -1 (pow x.im 3))))))
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (* 2 (/ (pow x.im 4) x.re)))))
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (* -1 (/ (+ (* -2 (pow x.im 4)) (* 2 (/ (pow x.im 5) x.re))) x.re)))))
(* -1 (* (pow x.re 3) (+ (* -2 (pow x.im 3)) (* -1 (/ (+ (* -2 (pow x.im 4)) (* -1 (/ (+ (* -2 (pow x.im 5)) (* 2 (/ (pow x.im 6) x.re))) x.re))) x.re)))))
(* -1 (* x.re (+ (* -1 (pow x.im 2)) (/ (pow x.im 3) x.re))))
(* -1 (* x.re (+ (* -1 (/ (- (/ (pow x.im 4) x.re) (pow x.im 3)) x.re)) (* -1 (pow x.im 2)))))
(* -1 (* x.re (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x.im 5) x.re) (pow x.im 4)) x.re)) (pow x.im 3)) x.re)) (* -1 (pow x.im 2)))))
(* -1 (/ (* (pow x.re 2) (+ (* -2 (pow x.im 3)) (* -1 (pow x.im 3)))) (pow x.im 2)))
(* (pow x.re 2) (+ (* -1 (/ (+ (* -2 (pow x.im 2)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (* -1 (pow x.im 4))) (pow x.im 2))) (* -1 (pow x.im 2)))) x.re)) (* -1 (/ (+ (* -2 (pow x.im 3)) (* -1 (pow x.im 3))) (pow x.im 2)))))
(* (pow x.re 2) (+ (* -1 (/ (+ (* -2 (pow x.im 2)) (+ (* -1 (/ (+ (* -2 (pow x.im 3)) (+ (* -1 (pow x.im 3)) (* 2 (pow x.im 3)))) x.re)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (* -1 (pow x.im 4))) (pow x.im 2))) (* -1 (pow x.im 2))))) x.re)) (* -1 (/ (+ (* -2 (pow x.im 3)) (* -1 (pow x.im 3))) (pow x.im 2)))))
(* (pow x.re 2) (+ (* -1 (/ (+ (* -2 (pow x.im 2)) (+ (* -1 (/ (+ (* -2 (pow x.im 3)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (* 2 (pow x.im 4))) x.re)) (+ (* -1 (pow x.im 3)) (* 2 (pow x.im 3))))) x.re)) (+ (* -1 (/ (+ (* -2 (pow x.im 4)) (* -1 (pow x.im 4))) (pow x.im 2))) (* -1 (pow x.im 2))))) x.re)) (* -1 (/ (+ (* -2 (pow x.im 3)) (* -1 (pow x.im 3))) (pow x.im 2)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (/ (- (* x.im (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2)))) (* -1 (pow x.im 3))) x.re)) (* x.im (+ (* -2 x.im) (* 2 x.im)))) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* x.im (+ (* -2 (pow x.im 3)) (* 2 (pow x.im 3)))) (* -1 (* (pow x.im 3) (+ (* -2 x.im) (* 2 x.im))))) x.re)) (* x.im (+ (* -4 (pow x.im 2)) (* 2 (pow x.im 2))))) (* -1 (pow x.im 3))) x.re)) (* x.im (+ (* -2 x.im) (* 2 x.im)))) x.re)) (* 2 x.im))))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(- (/ x.im (pow x.re 2)) (/ 1 x.re))
(- (* x.im (+ (* -1 (/ x.im (pow x.re 3))) (/ 1 (pow x.re 2)))) (/ 1 x.re))
(- (* x.im (+ (* x.im (- (/ x.im (pow x.re 4)) (/ 1 (pow x.re 3)))) (/ 1 (pow x.re 2)))) (/ 1 x.re))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(- x.im x.re)
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (pow x.re 3)))
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (+ (* x.im (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2)))) (pow x.re 3))))
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (+ (* x.im (+ (* -2 (pow x.re 2)) (+ (* -1 (pow x.re 2)) (* 2 (* x.im x.re))))) (pow x.re 3))))
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (+ (* x.im (+ (* -2 (pow x.re 2)) (+ (* -1 (pow x.re 2)) (* x.im (+ (* -2 x.im) (* 2 x.re)))))) (pow x.re 3))))
(* (pow x.im 3) (+ (* -2 (* x.im (pow x.re 2))) (* 2 (pow x.re 3))))
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (* x.im (+ (* -2 (pow x.re 2)) (* 2 (* x.im x.re))))))
(* (pow x.im 3) (+ (* 2 (pow x.re 3)) (* x.im (+ (* -2 (pow x.re 2)) (* x.im (+ (* -2 x.im) (* 2 x.re)))))))
(* (pow x.im 2) (+ x.re (* -1 x.im)))
(* (pow x.im 2) (+ x.re (* x.im (- (/ x.im x.re) 1))))
(* (pow x.im 2) (+ x.re (* x.im (- (* x.im (+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.re))) 1))))
(/ (* x.im (+ (* 2 (pow x.re 3)) (pow x.re 3))) x.re)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -2 x.re) (+ (* -1 x.re) (* 2 x.re))))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -2 x.re) (+ (* -1 x.im) (+ (* -1 x.re) (* 2 x.re)))))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* -1 x.im)
(* x.im (+ (* -1 (* x.im (+ (* -2 x.re) (* 2 x.re)))) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ (* -1 x.im) (* -1 (+ (* -2 x.re) (* 2 x.re))))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ (* -1 (+ (* -2 x.re) (* 2 x.re))) (* x.im (- (* -1 (/ (* x.im (+ (* -2 x.re) (* 2 x.re))) (pow x.re 2))) 1)))) (pow x.re 2))))
(* x.im (+ 1 (/ x.re x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(/ (- (/ x.re x.im) 1) x.im)
(/ (- (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ 1 (* -1 (/ x.re x.im)))) x.im)
(/ (- (/ (pow x.re 3) (pow x.im 3)) (+ 1 (+ (* -1 (/ x.re x.im)) (/ (pow x.re 2) (pow x.im 2))))) x.im)
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* -1 (/ (pow x.re 6) (pow x.im 6))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (+ (/ (pow x.re 4) (pow x.im 4)) (/ (pow x.re 6) (pow x.im 6)))))))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* x.im (+ 1 (* -1 (/ x.re x.im))))
(* x.im (+ 1 (+ (* -1 (/ x.re x.im)) (* 2 (/ x.re x.im)))))
(* x.im (+ 1 (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (pow x.re 2)) (pow x.im 2))) (* 2 (/ x.re x.im))))))
(* x.im (+ 1 (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (pow x.re 2)) (pow x.im 2))) (+ (* -1 (/ (- (pow x.re 3) (* (pow x.re 2) (+ (* -1 x.re) (* 2 x.re)))) (pow x.im 3))) (* 2 (/ x.re x.im)))))))
(* (pow x.im 4) (+ (* -1 (pow x.re 2)) (/ (pow x.re 3) x.im)))
(* (pow x.im 4) (+ (* -1 (pow x.re 2)) (+ (* 2 (/ (pow x.re 4) (pow x.im 2))) (/ (pow x.re 3) x.im))))
(* (pow x.im 4) (+ (* -2 (/ (pow x.re 5) (pow x.im 3))) (+ (* -1 (pow x.re 2)) (+ (* 2 (/ (pow x.re 4) (pow x.im 2))) (/ (pow x.re 3) x.im)))))
(* (pow x.im 2) (+ (* -2 (/ (pow x.re 5) x.im)) (* 2 (pow x.re 4))))
(* (pow x.im 2) (+ (* -2 (/ (pow x.re 5) x.im)) (+ (* 2 (/ (pow x.re 6) (pow x.im 2))) (* 2 (pow x.re 4)))))
(* (pow x.im 2) (+ (* -2 (/ (pow x.re 5) x.im)) (+ (* -2 (/ (pow x.re 7) (pow x.im 3))) (+ (* 2 (/ (pow x.re 6) (pow x.im 2))) (* 2 (pow x.re 4))))))
(* x.im (+ (* -1 (/ (pow x.re 3) x.im)) (pow x.re 2)))
(* x.im (- (+ (/ (pow x.re 4) (pow x.im 2)) (pow x.re 2)) (/ (pow x.re 3) x.im)))
(* x.im (- (+ (* -1 (/ (pow x.re 5) (pow x.im 3))) (pow x.re 2)) (+ (* -1 (/ (pow x.re 4) (pow x.im 2))) (/ (pow x.re 3) x.im))))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -2 (/ (pow x.re 3) (pow x.im 3))) (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (* 2 (/ (pow x.re 3) (pow x.im 3))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))))) 1))
(* (pow x.im 3) (- (+ (* -2 (/ x.re x.im)) (* 2 (/ x.re x.im))) 1))
(* (pow x.im 3) (- (+ (* -2 (/ x.re x.im)) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (* 4 (pow x.re 2)))) (* -1 (pow x.re 2))) (pow x.im 2))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2)))))) 1))
(* (pow x.im 3) (- (+ (* -2 (/ x.re x.im)) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (* 4 (pow x.re 2)))) (* -1 (pow x.re 2))) (pow x.im 2))) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3)))) (* (pow x.re 2) (+ (* -2 x.re) (* 2 x.re)))) (pow x.im 3))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2))))))) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (/ (+ 1 (* -1 (/ x.re x.im))) x.im))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x.re 2) x.im)) (* -1 x.re)) x.im))) x.im))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x.re 3) x.im)) (* -1 (pow x.re 2))) x.im)) (* -1 x.re)) x.im))) x.im))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* x.im (- (/ x.re x.im) 1)))
(* -1 (* x.im (- (+ (* -2 (/ x.re x.im)) (/ x.re x.im)) 1)))
(* -1 (* x.im (- (* -1 (/ (+ (* -1 (+ x.re (* -2 x.re))) (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (pow x.re 2)) x.im))) x.im)) 1)))
(* -1 (* x.im (- (* -1 (/ (+ (* -1 (+ x.re (* -2 x.re))) (* -1 (/ (- (+ (* -1 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (* -1 (/ (- (* -1 (pow x.re 3)) (* (pow x.re 2) (+ x.re (* -2 x.re)))) x.im))) (pow x.re 2)) x.im))) x.im)) 1)))
(* (pow x.im 4) (+ (* -1 (/ (+ (* -2 (/ (pow x.re 4) x.im)) (* -1 (pow x.re 3))) x.im)) (* -1 (pow x.re 2))))
(* (pow x.im 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x.re 5) x.im)) (* 2 (pow x.re 4))) x.im)) (* -1 (pow x.re 3))) x.im)) (* -1 (pow x.re 2))))
(* (pow x.im 2) (+ (* -1 (/ (+ (* -2 (/ (pow x.re 6) x.im)) (* 2 (pow x.re 5))) x.im)) (* 2 (pow x.re 4))))
(* (pow x.im 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x.re 7) x.im)) (* 2 (pow x.re 6))) x.im)) (* 2 (pow x.re 5))) x.im)) (* 2 (pow x.re 4))))
(* -1 (* x.im (+ (* -1 (pow x.re 2)) (/ (pow x.re 3) x.im))))
(* -1 (* x.im (+ (* -1 (/ (- (/ (pow x.re 4) x.im) (pow x.re 3)) x.im)) (* -1 (pow x.re 2)))))
(* -1 (* x.im (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x.re 5) x.im) (pow x.re 4)) x.im)) (pow x.re 3)) x.im)) (* -1 (pow x.re 2)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im)))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -2 (pow x.re 2)) (+ (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) x.im)) (* -1 (pow x.re 2)))) x.im)))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -2 x.re) (* 2 x.re)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -2 x.re) (+ (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (- (* -1 (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2)))) (pow x.re 2)))) x.im)) (* 2 x.re))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -2 x.re) (+ (* -1 (/ (- (+ (* -2 (pow x.re 2)) (+ (* -1 (- (* -1 (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2)))) (pow x.re 2))) (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) x.im)))) (/ (* (pow x.re 2) (+ (* -2 x.re) (* 2 x.re))) x.im)) x.im)) (* 2 x.re))) x.im)))))
Outputs
x.im
(+ x.im x.re)
(+.f64 x.re x.im)
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(fma.f64 (fma.f64 x.re x.im #s(literal 0 binary64)) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(/ -1 x.im)
(/.f64 #s(literal -1 binary64) x.im)
(- (/ x.re (pow x.im 2)) (/ 1 x.im))
(-.f64 (/.f64 x.re (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) x.im))
(- (* x.re (+ (* -1 (/ x.re (pow x.im 3))) (/ 1 (pow x.im 2)))) (/ 1 x.im))
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) (/.f64 x.re (pow.f64 x.im #s(literal 3 binary64)))) x.re (/.f64 #s(literal -1 binary64) x.im))
(- (* x.re (+ (* x.re (- (/ x.re (pow x.im 4)) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2)))) (/ 1 x.im))
(fma.f64 (fma.f64 (-.f64 (/.f64 x.re (pow.f64 x.im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 3 binary64)))) x.re (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))) x.re (/.f64 #s(literal -1 binary64) x.im))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(fma.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(fma.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(fma.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* 3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(+ x.im (* -1 x.re))
(-.f64 x.im x.re)
(+ x.im (* x.re (+ 1 (* -1 (* x.re (- (* -1 (/ (+ x.im (* -2 x.im)) (pow x.im 2))) (/ 1 x.im)))))))
(fma.f64 (fma.f64 (-.f64 (/.f64 x.im (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) x.im)) (neg.f64 x.re) #s(literal 1 binary64)) x.re x.im)
(+ x.im (* x.re (+ 1 (* x.re (+ (* -1 (- (* -1 (/ (+ x.im (* -2 x.im)) (pow x.im 2))) (/ 1 x.im))) (* -1 (/ (* (pow x.re 2) (- (* -1 (/ (+ x.im (* -2 x.im)) (pow x.im 2))) (/ 1 x.im))) (pow x.im 2))))))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 x.re x.re) (/.f64 (-.f64 (/.f64 x.im (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) x.im)) (*.f64 x.im x.im)) (-.f64 (/.f64 x.im (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) x.im)))) x.re #s(literal 1 binary64)) x.re x.im)
(* -1 (* (pow x.im 4) (pow x.re 2)))
(*.f64 (*.f64 (neg.f64 x.re) x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.re 2) (+ (* -1 (pow x.im 4)) (* (pow x.im 3) x.re)))
(*.f64 (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ (* -1 (pow x.im 4)) (* x.re (+ (* 2 (* (pow x.im 2) x.re)) (pow x.im 3)))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ (* -1 (pow x.im 4)) (* x.re (+ (* x.re (+ (* -2 (* x.im x.re)) (* 2 (pow x.im 2)))) (pow x.im 3)))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x.im) x.re (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64))) x.re (pow.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 x.re x.re))
(* 2 (* (pow x.im 2) (pow x.re 4)))
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (+ (* -2 (* x.im x.re)) (* 2 (pow x.im 2))))
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x.im) x.re (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (+ (* 2 (pow x.im 2)) (* x.re (+ (* -2 x.im) (* 2 x.re)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x.im (*.f64 #s(literal 2 binary64) x.re)) x.re (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (+ (* 2 (pow x.im 2)) (* x.re (+ (* -2 x.im) (* x.re (+ 2 (* -2 (/ x.re x.im))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 x.re x.im) #s(literal -2 binary64) #s(literal 2 binary64)) x.re (*.f64 #s(literal -2 binary64) x.im)) x.re (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (* -1 x.re)))
(*.f64 (-.f64 x.im x.re) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* x.re (- (/ x.re x.im) 1))))
(*.f64 (fma.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.re x.im) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* x.re (- (* x.re (+ (* -1 (/ x.re (pow x.im 2))) (/ 1 x.im))) 1))))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 x.re (*.f64 x.im x.im))) x.re #s(literal -1 binary64)) x.re x.im) (*.f64 x.re x.re))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* 2 x.im))) (pow x.im 2)))))
(fma.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 (*.f64 #s(literal 3 binary64) x.im) x.re (*.f64 x.im x.im))) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.im) x.re #s(literal 0 binary64)) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -2 (pow x.im 2)) (* 2 (pow x.im 2)))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -2 (pow x.im 2)) (+ (* 2 (pow x.im 2)) (* x.re (+ (* -1 (- (* -1 (/ (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2))) x.im)) (* -1 x.im))) (* 2 x.im)))))))
(fma.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.im) x.im) (*.f64 #s(literal 2 binary64) x.im)) x.re)) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -2 (pow x.im 2)) (+ (* 2 (pow x.im 2)) (* x.re (+ (* -1 (* (pow x.re 2) (- (/ 1 x.im) (* -1 (/ (- (* -1 (/ (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2))) x.im)) (* -1 x.im)) (pow x.im 2)))))) (+ (* -1 (- (* -1 (/ (+ (* -2 (pow x.im 2)) (* 4 (pow x.im 2))) x.im)) (* -1 x.im))) (* 2 x.im))))))))
(fma.f64 (+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 (neg.f64 x.re) x.re) (+.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.im) #s(literal -1 binary64) x.im) (*.f64 x.im x.im))) (fma.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))) x.re)) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(*.f64 (-.f64 x.im (/.f64 #s(literal 0 binary64) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 (+.f64 (-.f64 (/.f64 #s(literal 0 binary64) x.re) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re))) x.im) (*.f64 x.re x.re))
(/ -1 x.re)
(/.f64 #s(literal -1 binary64) x.re)
(/ (- (/ x.im x.re) 1) x.re)
(/.f64 (-.f64 (/.f64 x.im x.re) #s(literal 1 binary64)) x.re)
(/ (- (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ 1 (* -1 (/ x.im x.re)))) x.re)
(/.f64 (neg.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)))) x.re)
(/ (- (/ (pow x.im 3) (pow x.re 3)) (+ 1 (+ (* -1 (/ x.im x.re)) (/ (pow x.im 2) (pow x.re 2))))) x.re)
(/.f64 (-.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (*.f64 (/.f64 x.im x.re) (/.f64 x.im x.re)))) x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (+.f64 (-.f64 (*.f64 #s(literal 2 binary64) x.im) (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 x.re x.re))) x.im) (*.f64 x.re x.re))
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(*.f64 (fma.f64 x.re x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 x.im))) x.im)
(* x.im (- (+ (/ (pow x.re 4) (pow x.im 2)) (pow x.re 2)) (/ (pow x.re 3) x.im)))
(*.f64 (-.f64 (fma.f64 x.re x.re (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 x.im x.im))) (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)) x.im)
(* x.im (- (+ (* -1 (/ (pow x.re 5) (pow x.im 3))) (pow x.re 2)) (+ (* -1 (/ (pow x.re 4) (pow x.im 2))) (/ (pow x.re 3) x.im))))
(*.f64 (-.f64 (-.f64 (*.f64 x.re x.re) (/.f64 (pow.f64 x.re #s(literal 5 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (-.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 x.im x.im)))) x.im)
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (-.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im) (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (/.f64 x.re x.im))) (/.f64 x.re x.im)) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -2 (/ (pow x.re 3) (pow x.im 3))) (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (* 2 (/ (pow x.re 3) (pow x.im 3))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))))) 1))
(*.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal -2 binary64) (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im) (fma.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64) (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (/.f64 x.re x.im)))) (/.f64 x.re x.im))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -2 (/ x.re x.im)) (* 2 (/ x.re x.im))) 1))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -2 (/ x.re x.im)) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (* 4 (pow x.re 2)))) (* -1 (pow x.re 2))) (pow x.im 2))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2)))))) 1))
(*.f64 (-.f64 (fma.f64 (/.f64 x.re x.im) #s(literal -2 binary64) (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (/.f64 x.re x.im))))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -2 (/ x.re x.im)) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (* 4 (pow x.re 2)))) (* -1 (pow x.re 2))) (pow x.im 2))) (+ (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3)))) (* (pow x.re 2) (+ (* -2 x.re) (* 2 x.re)))) (pow x.im 3))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2))))))) 1))
(*.f64 (-.f64 (fma.f64 (/.f64 x.re x.im) #s(literal -2 binary64) (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (/.f64 x.re x.im)) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)) (pow.f64 x.im #s(literal 3 binary64)))))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (*.f64 x.im x.im))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(fma.f64 (/.f64 (neg.f64 x.re) x.im) (neg.f64 x.im) x.im)
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal 0 binary64)) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (/ (+ 1 (* -1 (/ x.re x.im))) x.im))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.re x.im)) (neg.f64 x.im))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow x.re 2) x.im)) (* -1 x.re)) x.im))) x.im))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 x.re x.re) x.im) #s(literal -1 binary64) x.re) x.im)) (neg.f64 x.im))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow x.re 3) x.im)) (* -1 (pow x.re 2))) x.im)) (* -1 x.re)) x.im))) x.im))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (fma.f64 x.re x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 x.im))) x.im) #s(literal -1 binary64) x.re) x.im)) (neg.f64 x.im))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im) #s(literal 1 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4))))))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im) #s(literal 1 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (* (pow x.re 2) (+ (* -1 (pow x.re 4)) (pow x.re 4))) (pow x.im 6))) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (/ (pow x.re 4) (pow x.im 4)))))))))
(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im) (fma.f64 (*.f64 x.re x.re) (/.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 (*.f64 (neg.f64 x.re) x.re) (*.f64 x.im x.im)))) #s(literal 1 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.im) (/.f64 (*.f64 x.re x.re) x.im) #s(literal 1 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* x.im (- (/ x.re x.im) 1)))
(fma.f64 (/.f64 x.re x.im) (neg.f64 x.im) x.im)
(* -1 (* x.im (- (+ (* -2 (/ x.re x.im)) (/ x.re x.im)) 1)))
(fma.f64 (/.f64 (neg.f64 x.re) x.im) (neg.f64 x.im) x.im)
(* -1 (* x.im (- (* -1 (/ (+ (* -1 (+ x.re (* -2 x.re))) (* -1 (/ (- (* -1 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (pow x.re 2)) x.im))) x.im)) 1)))
(fma.f64 (/.f64 (-.f64 x.re (/.f64 (fma.f64 x.re x.re (*.f64 (neg.f64 x.re) x.re)) x.im)) (neg.f64 x.im)) (neg.f64 x.im) x.im)
(* -1 (* x.im (- (* -1 (/ (+ (* -1 (+ x.re (* -2 x.re))) (* -1 (/ (- (+ (* -1 (+ (* -2 (pow x.re 2)) (pow x.re 2))) (* -1 (/ (- (* -1 (pow x.re 3)) (* (pow x.re 2) (+ x.re (* -2 x.re)))) x.im))) (pow x.re 2)) x.im))) x.im)) 1)))
(fma.f64 (/.f64 (-.f64 x.re (/.f64 (-.f64 (fma.f64 x.re x.re (/.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64))) x.im)) (*.f64 x.re x.re)) x.im)) (neg.f64 x.im)) (neg.f64 x.im) x.im)
(* (pow x.im 4) (+ (* -1 (/ (+ (* -2 (/ (pow x.re 4) x.im)) (* -1 (pow x.re 3))) x.im)) (* -1 (pow x.re 2))))
(*.f64 (neg.f64 (fma.f64 x.re x.re (/.f64 (fma.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) x.im) #s(literal -2 binary64) (neg.f64 (pow.f64 x.re #s(literal 3 binary64)))) x.im))) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x.re 5) x.im)) (* 2 (pow x.re 4))) x.im)) (* -1 (pow x.re 3))) x.im)) (* -1 (pow x.re 2))))
(*.f64 (neg.f64 (fma.f64 x.re x.re (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 x.re #s(literal 5 binary64)) x.im) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (neg.f64 x.im)) (pow.f64 x.re #s(literal 3 binary64))) x.im))) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 2) (+ (* -1 (/ (+ (* -2 (/ (pow x.re 6) x.im)) (* 2 (pow x.re 5))) x.im)) (* 2 (pow x.re 4))))
(*.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 4 binary64)) (/.f64 (fma.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) x.im) #s(literal -2 binary64) (*.f64 (pow.f64 x.re #s(literal 5 binary64)) #s(literal 2 binary64))) (neg.f64 x.im))) (*.f64 x.im x.im))
(* (pow x.im 2) (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (pow x.re 7) x.im)) (* 2 (pow x.re 6))) x.im)) (* 2 (pow x.re 5))) x.im)) (* 2 (pow x.re 4))))
(*.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 4 binary64)) (/.f64 (fma.f64 (pow.f64 x.re #s(literal 5 binary64)) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 x.re #s(literal 7 binary64)) x.im) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 6 binary64)))) (neg.f64 x.im))) (neg.f64 x.im))) (*.f64 x.im x.im))
(* -1 (* x.im (+ (* -1 (pow x.re 2)) (/ (pow x.re 3) x.im))))
(*.f64 (fma.f64 x.re x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 x.im))) x.im)
(* -1 (* x.im (+ (* -1 (/ (- (/ (pow x.re 4) x.im) (pow x.re 3)) x.im)) (* -1 (pow x.re 2)))))
(*.f64 (neg.f64 (fma.f64 x.re x.re (/.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) x.im) (pow.f64 x.re #s(literal 3 binary64))) x.im))) (neg.f64 x.im))
(* -1 (* x.im (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x.re 5) x.im) (pow x.re 4)) x.im)) (pow x.re 3)) x.im)) (* -1 (pow x.re 2)))))
(*.f64 (neg.f64 (fma.f64 x.re x.re (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 5 binary64)) x.im) (pow.f64 x.re #s(literal 4 binary64))) (neg.f64 x.im)) (pow.f64 x.re #s(literal 3 binary64))) x.im))) (neg.f64 x.im))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im)))) x.im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -2 (pow x.re 2)) (+ (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) x.im)) (* -1 (pow x.re 2)))) x.im)))) x.im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (/.f64 #s(literal 0 binary64) x.im)) (neg.f64 x.im)) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -2 x.re) (* 2 x.re)) x.im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -2 x.re) (+ (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (- (* -1 (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2)))) (pow x.re 2)))) x.im)) (* 2 x.re))) x.im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x.re (fma.f64 #s(literal 2 binary64) x.re (/.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -2 x.re) (+ (* -1 (/ (- (+ (* -2 (pow x.re 2)) (+ (* -1 (- (* -1 (+ (* -4 (pow x.re 2)) (* 2 (pow x.re 2)))) (pow x.re 2))) (* -1 (/ (+ (* -2 (pow x.re 3)) (* 2 (pow x.re 3))) x.im)))) (/ (* (pow x.re 2) (+ (* -2 x.re) (* 2 x.re))) x.im)) x.im)) (* 2 x.re))) x.im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) x.re (fma.f64 #s(literal 2 binary64) x.re (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (/.f64 #s(literal 0 binary64) x.im)) (/.f64 (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re)) x.im)) x.im))) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

rewrite196.0ms (2.7%)

Memory
10.8MiB live, 326.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071383
0108374
1465297
23954230
09526225
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 354
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im))
(/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
#s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (neg.f64 x.im) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)
(*.f64 #s(literal 3 binary64) x.re)
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))
(/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))))
(neg.f64 (-.f64 x.re x.im))
(fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re)))
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(neg.f64 x.im)
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
Outputs
(*.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im)) (neg.f64 (-.f64 x.re x.im))) #s(literal -1 binary64)) (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64)))
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(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 x.re (+.f64 x.re x.im)) (*.f64 (neg.f64 x.im) (+.f64 x.re x.im)))
(+.f64 (*.f64 (+.f64 x.re x.im) x.re) (*.f64 (+.f64 x.re x.im) (neg.f64 x.im)))
(+.f64 (*.f64 (-.f64 x.re x.im) x.re) (*.f64 (-.f64 x.re x.im) x.im))
(+.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) x.im)) (neg.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) x.re)))
(+.f64 (*.f64 x.re (-.f64 x.re x.im)) (*.f64 (-.f64 x.re x.im) x.im))
(+.f64 (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (fma.f64 (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) x.im) x.im (pow.f64 x.re #s(literal 4 binary64))))))
(+.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 x.re x.re))
(+.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(+.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.re))
(+.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 x.re (-.f64 x.re x.im)))

eval128.0ms (1.7%)

Memory
0.1MiB live, 224.7MiB allocated
Compiler

Compiled 46 727 to 4 321 computations (90.8% saved)

prune58.0ms (0.8%)

Memory
13.5MiB live, 143.0MiB allocated
Pruning

15 alts after pruning (9 fresh and 6 done)

PrunedKeptTotal
New1 04781 055
Fresh213
Picked325
Done044
Total1 052151 067
Accuracy
100.0%
Counts
1 067 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.6%
(+.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) x.im) (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
91.3%
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im)) (*.f64 (neg.f64 (-.f64 x.re x.im)) x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
28.6%
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 #s(approx (+ (* (neg x.im) x.im) (* x.re x.re)) (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
91.6%
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
78.3%
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im)) (*.f64 (*.f64 (neg.f64 (+.f64 x.re x.im)) (+.f64 x.re x.im)) (*.f64 (-.f64 x.re x.im) x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
91.4%
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x.re x.im) #s(literal -1/2 binary64))) (pow.f64 (+.f64 x.re x.im) #s(literal -1/2 binary64)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
57.9%
#s(approx (/ (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2)))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
90.0%
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
50.5%
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
57.9%
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
55.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
50.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
56.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
56.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
55.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
Compiler

Compiled 1 521 to 482 computations (68.3% saved)

regimes33.0ms (0.4%)

Memory
-7.8MiB live, 73.6MiB allocated
Counts
32 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im))
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) x.im) (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im)) (*.f64 (*.f64 (neg.f64 (+.f64 x.re x.im)) (+.f64 x.re x.im)) (*.f64 (-.f64 x.re x.im) x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.re x.im)) (*.f64 (neg.f64 (-.f64 x.re x.im)) x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 #s(approx (+ (* (neg x.im) x.im) (* x.re x.re)) (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (/.f64 (*.f64 (neg.f64 (-.f64 x.re x.im)) (+.f64 x.im x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
#s(approx (/ (+ (* (* (* (- x.re x.im) x.im) 1) (+ 0 (pow (* x.im x.re) 2))) (* (pow (+ x.im x.re) -1) (* (* 2 (pow (* x.im x.re) 3)) x.re))) (* (pow (+ x.im x.re) -1) (+ 0 (pow (* x.im x.re) 2)))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (*.f64 (/.f64 (-.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))) (/.f64 (+.f64 x.re x.im) (pow.f64 (+.f64 x.re x.im) #s(literal -1 binary64)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (+.f64 x.re x.im) #s(literal -1/2 binary64))) (pow.f64 (+.f64 x.re x.im) #s(literal -1/2 binary64)))) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(literal 1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re))) (*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
Outputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
Calls

3 calls:

11.0ms
x.im
9.0ms
x.re
8.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
96.7%2x.re
98.6%2x.im
98.6%2(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes12.0ms (0.2%)

Memory
-11.5MiB live, 27.0MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im))
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Outputs
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
Calls

2 calls:

6.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
5.0ms
x.im
Results
AccuracySegmentsBranch
98.3%3x.im
98.7%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes4.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im))
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
Outputs
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
Calls

1 calls:

4.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
98.6%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes2.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
Outputs
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
Calls

1 calls:

2.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
98.6%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes6.0ms (0.1%)

Memory
-26.4MiB live, 12.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
Outputs
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
Calls

3 calls:

3.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
1.0ms
x.im
1.0ms
x.re
Results
AccuracySegmentsBranch
57.9%1x.re
57.9%1x.im
57.9%1(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.2670563062786385e+54
7.889759965314045e+56
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-3.953e-321
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-3.953e-321
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify27.0ms (0.4%)

Memory
22.8MiB live, 61.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069672
194672
2100672
3103672
4104672
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 2000000000000000156583080809192487684610720599772233728 binary64)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
Outputs
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 2000000000000000156583080809192487684610720599772233728 binary64)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal 2000000000000000156583080809192487684610720599772233728 binary64)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
#s(approx (+ (* (/ (- (pow x.re 6) (pow x.im 6)) (+ (* (* x.im x.im) (+ (* x.im x.im) (* x.re x.re))) (pow x.re 4))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))

soundness607.0ms (8.2%)

Memory
-19.9MiB live, 416.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01154
02054
17942
053641
057180
1182170
2586170
32560170
46935170
08454170
0331999
11060933
23399881
08273842
043268
068240
1279198
21872198
08457193
02771207
1949986
23531863
08357830
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
iter limit
unsound
iter limit
Compiler

Compiled 905 to 227 computations (74.9% saved)

preprocess111.0ms (1.5%)

Memory
6.0MiB live, 121.8MiB allocated
Remove

(abs x.re)

Compiler

Compiled 2 442 to 506 computations (79.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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