math.cube on complex, real part

Time bar (total: 7.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 21 to 13 computations (38.1% saved)

sample1.2s (15.3%)

Memory
-12.6MiB live, 1 612.9MiB allocated
Samples
825.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 588.0ms
ival-mult: 424.0ms (72.1% of total)
ival-sub: 116.0ms (19.7% of total)
ival-add: 39.0ms (6.6% of total)
ival-true: 6.0ms (1% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain203.0ms (2.7%)

Memory
4.0MiB live, 265.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
210-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
200-0-(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
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.im)
00-0-x.re
00-0-x.im
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)n*o210
-.f64(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))nan-rescue200
↳(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)overflow114
↳(*.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.im) (*.f64 x.im x.re)) x.im)overflow60
↳(*.f64 x.im x.re)overflow30
↳(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))overflow30
↳(*.f64 x.re x.im)overflow30
-.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 -
+490
-0207
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4900
-00207
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0207
146
23
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
82.0ms512×0valid
Compiler

Compiled 218 to 48 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 58.0ms (88.6% of total)
ival-sub: 4.0ms (6.1% of total)
ival-add: 2.0ms (3.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess502.0ms (6.6%)

Memory
-9.7MiB live, 229.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031107
110689
230885
3126755
4319055
5516655
6621855
7653655
8679155
9688655
10690355
11782555
01119
02019
13817
28017
323611
466611
5213711
6428811
7631611
8739911
9772211
10776111
11776111
0805210
Stop Event
1×iter limit
1×node limit
1×iter limit
1×node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Outputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im) (pow.f64 x.re #s(literal 3 binary64)))
Symmetry

(abs x.im)

(negabs x.re)

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
▶81.3%
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify335.0ms (4.4%)

Memory
8.1MiB live, 162.9MiB allocated
Algorithm
1×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.re)
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: 0 (0.0ms)

IterNodesCost
01165
02065
13859
28059
323653
466653
5213753
6428853
7631653
8739953
9772253
10776153
11776153
0805252
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Outputs
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(fma.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im) (pow.f64 x.re #s(literal 3 binary64)))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
(*.f64 (*.f64 (-.f64 x.re x.im) x.re) (+.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.im)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.im)
(+.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)

localize99.0ms (1.3%)

Memory
-3.1MiB live, 35.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.125
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy2.597639736641647
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy4.062500000000001
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy4.93998109639549
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
Samples
20.0ms256×0valid
Compiler

Compiled 132 to 24 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 9.0ms (71% of total)
ival-sub: 2.0ms (15.8% of total)
ival-add: 1.0ms (7.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
15.8MiB live, 15.8MiB 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.re)
(*.f64 x.re x.re)
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
Outputs
(* 2 (* x.im x.re))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 2)
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* 2 (* (pow x.im 2) x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
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.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
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.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
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.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms
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.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
1.0ms
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.re) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify277.0ms (3.6%)

Memory
-12.8MiB live, 155.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056190
1169170
2519170
32113170
45800170
08265165
Stop Event
1×iter limit
1×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 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 2)
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* 2 (* (pow x.im 2) x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
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))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(* -1 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* 2 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal 2 binary64)) x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)

rewrite49.0ms (0.6%)

Memory
3.6MiB live, 42.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01154
02054
18342
057241
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
6 → 96
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.re)
(*.f64 x.re x.re)
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
Outputs
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.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 (neg.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))))
(/.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))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 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))))
(neg.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 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 #s(literal 0 binary64) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(+.f64 (neg.f64 (*.f64 x.im x.re)) (neg.f64 (*.f64 x.im x.re)))
(+.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.re (+.f64 x.im x.re)) (-.f64 x.re x.im))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re))
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re)
(*.f64 x.re (*.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.re) (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.re) (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 (-.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.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))))
(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (neg.f64 x.im) x.im) x.re))
(fma.f64 x.re (*.f64 x.re x.re) (*.f64 x.re (*.f64 (neg.f64 x.im) x.im)))
(+.f64 (*.f64 (*.f64 x.re x.re) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.re))
(+.f64 (*.f64 x.re (*.f64 x.re x.re)) (*.f64 x.re (*.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.re (+.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.im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.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.im) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x.re (+.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.im) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.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.im) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.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.im) #s(literal 2 binary64))) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64))))
(fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.re) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) #s(literal 2 binary64)) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x.re (+.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.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.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.im) #s(literal 3 binary64)) (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)) (pow.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(-.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(+.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(+.f64 (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)
(*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 x.im (*.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))))
(neg.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(fma.f64 (*.f64 x.im x.re) x.im (*.f64 (*.f64 x.im x.re) x.im))
(fma.f64 x.im (*.f64 x.im x.re) (*.f64 x.im (*.f64 x.im x.re)))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(+.f64 (*.f64 (*.f64 x.im x.re) x.im) (*.f64 (*.f64 x.im x.re) x.im))
(+.f64 (*.f64 x.im (*.f64 x.im x.re)) (*.f64 x.im (*.f64 x.im x.re)))

eval44.0ms (0.6%)

Memory
-16.1MiB live, 24.9MiB allocated
Compiler

Compiled 2 642 to 356 computations (86.5% saved)

prune5.0ms (0.1%)

Memory
9.1MiB live, 9.1MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1006106
Fresh000
Picked101
Done000
Total1016107
Accuracy
98.8%
Counts
107 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.2%
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (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.im))
▶37.5%
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶67.5%
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶54.1%
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶88.0%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
▶46.6%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
Compiler

Compiled 330 to 192 computations (41.8% saved)

simplify228.0ms (3%)

Memory
7.2MiB live, 121.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
041342
063342
1112320
2194320
3406304
41015304
52977304
65238304
77460304
08035301
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
#s(literal -3 binary64)
(*.f64 x.im x.im)
x.im
(*.f64 x.re x.re)
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
#s(literal -3 binary64)
(*.f64 (*.f64 x.im x.im) x.re)
(*.f64 x.im x.im)
x.im
x.re
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im))
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)
(*.f64 (neg.f64 x.im) x.re)
(neg.f64 x.im)
x.im
x.re
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (*.f64 x.re x.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.re) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
x.im
(*.f64 x.im x.re)
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(pow.f64 x.re #s(literal 4 binary64))
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 x.re x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re))
#s(literal -3 binary64)
(*.f64 x.im x.im)
x.im
(*.f64 x.re x.re)
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 (*.f64 x.im x.im) x.re)
(*.f64 x.im x.im)
x.im
x.re
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x.im) x.im) x.re #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im))
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)
(*.f64 (neg.f64 x.im) x.re)
(neg.f64 x.im)
x.im
x.re
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x.im x.im) 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)
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x.im) x.im) x.re #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x.im x.im) 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)
x.im
(*.f64 x.im x.re)
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) x.im) x.im (/.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)))) x.re)
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (/.f64 x.re (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 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(pow.f64 x.re #s(literal 4 binary64))
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 x.re x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x.im x.im) 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)

localize162.0ms (2.1%)

Memory
-2.9MiB live, 77.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy1.4518054044041986
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
accuracy4.062500000000001
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy7.187466973283294
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
accuracy34.35501777339952
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
accuracy0.01171875
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
accuracy0.125
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy4.062500000000001
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy25.44560642627916
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
accuracy0.12109375
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)
accuracy0.125
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy4.062500000000001
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy29.262361229235538
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im))
accuracy0
(*.f64 x.im x.im)
accuracy0.15234375
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
accuracy10.082749081424849
(*.f64 (*.f64 x.im x.im) x.re)
accuracy29.26262617863517
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
accuracy0
(*.f64 x.im x.im)
accuracy0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
accuracy2.6913897366416464
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
accuracy4.924542916889223
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
Samples
95.0ms256×0valid
Compiler

Compiled 650 to 73 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
ival-mult: 59.0ms (76.7% of total)
ival-pow: 7.0ms (9.1% of total)
ival-sub: 4.0ms (5.2% of total)
ival-add: 3.0ms (3.9% of total)
ival-div: 2.0ms (2.6% of total)
ival-neg: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series63.0ms (0.8%)

Memory
-15.3MiB live, 22.7MiB allocated
Counts
19 → 44
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(*.f64 x.im x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(*.f64 (*.f64 x.im x.im) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im))
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* (pow x.im 2) x.re)
(* 2 (* x.im x.re))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* -1 (* (pow x.im 4) x.re))
(* x.re (+ (* -1 (pow x.im 4)) (pow x.re 4)))
(* 2 (* (pow x.im 2) x.re))
(* -1 (pow x.im 4))
(- (pow x.re 4) (pow x.im 4))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 5)
(* (pow x.re 5) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 5) (- (/ (pow x.im 4) (pow x.re 4)) 1)))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(pow x.im 2)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3))
(+ (* -1 (* (pow x.im 4) x.re)) (pow x.re 5))
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 4) (+ (* -1 x.re) (/ (pow x.re 5) (pow x.im 4))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
Calls

6 calls:

TimeVariablePointExpression
44.0ms
x.im
@-inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (+ (* 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.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (- (pow x.re 4) (pow x.im 4)))
4.0ms
x.re
@0
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (+ (* 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.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (- (pow x.re 4) (pow x.im 4)))
4.0ms
x.re
@inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (+ (* 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.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (- (pow x.re 4) (pow x.im 4)))
4.0ms
x.re
@-inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (+ (* 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.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (- (pow x.re 4) (pow x.im 4)))
3.0ms
x.im
@inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.im x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im x.im) x.re)) (* (* x.im x.im) x.re) (+ (* 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.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* (neg x.im) x.re) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (- (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.re) (+ (* x.im x.im) (* x.re x.re))) (* (- (pow x.re 4) (pow x.im 4)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im) (- (pow x.re 4) (pow x.im 4)))

simplify205.0ms (2.7%)

Memory
30.4MiB live, 105.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109426
1334361
2942361
33466361
47331361
08180346
Stop Event
1×iter limit
1×node limit
Counts
44 → 44
Calls
Call 1
Inputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* (pow x.im 2) x.re)
(* 2 (* x.im x.re))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* -1 (* (pow x.im 4) x.re))
(* x.re (+ (* -1 (pow x.im 4)) (pow x.re 4)))
(* 2 (* (pow x.im 2) x.re))
(* -1 (pow x.im 4))
(- (pow x.re 4) (pow x.im 4))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 5)
(* (pow x.re 5) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 5) (- (/ (pow x.im 4) (pow x.re 4)) 1)))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(pow x.im 2)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3))
(+ (* -1 (* (pow x.im 4) x.re)) (pow x.re 5))
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 4) (+ (* -1 x.re) (/ (pow x.re 5) (pow x.im 4))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* -3 (* (pow x.im 2) x.re))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* -3 (pow x.im 2))
(*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(* (pow x.im 2) x.re)
(*.f64 (*.f64 x.im x.im) x.re)
(* 2 (* x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(* -1 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re)
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(* -1 (* (pow x.im 4) x.re))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* x.re (+ (* -1 (pow x.im 4)) (pow x.re 4)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
(* 2 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64))
(* -1 (pow x.im 4))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(- (pow x.re 4) (pow x.im 4))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re)
(* (pow x.re 3) (- (+ 1 (* -1 (/ (+ (* -1 (pow x.im 4)) (pow x.im 4)) (pow x.re 4)))) (+ (* 2 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(pow x.re 5)
(pow.f64 x.re #s(literal 5 binary64))
(* (pow x.re 5) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re)
(* -1 (* (pow x.re 5) (- (/ (pow x.im 4) (pow x.re 4)) 1)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(pow x.im 2)
(*.f64 x.im x.im)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re)
(+ (* -1 (* (pow x.im 2) (+ x.re (* 2 x.re)))) (pow x.re 3))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(+ (* -1 (* (pow x.im 4) x.re)) (pow x.re 5))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(*.f64 (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)) x.re)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re)
(* (pow x.im 4) (+ (* -1 x.re) (/ (pow x.re 5) (pow x.im 4))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
(*.f64 (-.f64 (/.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 4 binary64)))

rewrite88.0ms (1.2%)

Memory
5.7MiB live, 43.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041251
063251
1245209
01650204
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
19 → 251
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re))
(*.f64 x.im x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))
(*.f64 (*.f64 x.im x.im) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im))
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(*.f64 x.re (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64))) x.re) (fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (neg.f64 x.re) x.re)))
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(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
(fma.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.re (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(fma.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))
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(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) x.re) (*.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) x.re) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) #s(literal 1 binary64)) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im)))))
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(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x.re (+.f64 x.im x.re)) (-.f64 x.re x.im))))
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(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(neg.f64 (/.f64 (*.f64 (neg.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 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))))
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(fma.f64 (*.f64 x.re x.re) x.re (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im))
(fma.f64 x.re (*.f64 x.re x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im))
(+.f64 (pow.f64 x.re #s(literal 3 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re)
(*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(/.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64)))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (*.f64 x.re (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64)))) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) x.re) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) x.re) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))))
(fma.f64 (pow.f64 x.re #s(literal 4 binary64)) x.re (*.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) x.re))
(fma.f64 x.re (pow.f64 x.re #s(literal 4 binary64)) (*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))))
(+.f64 (*.f64 (pow.f64 x.re #s(literal 4 binary64)) x.re) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) x.re))
(+.f64 (*.f64 x.re (pow.f64 x.re #s(literal 4 binary64))) (*.f64 x.re (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(*.f64 (neg.f64 x.im) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im)
(*.f64 x.im (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 x.im (*.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))))
(/.f64 (*.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
(neg.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(fma.f64 (*.f64 x.im x.re) x.im (*.f64 (*.f64 x.im x.im) x.re))
(fma.f64 (*.f64 x.im x.im) x.re (*.f64 (*.f64 x.im x.im) x.re))
(fma.f64 x.im (*.f64 x.im x.re) (*.f64 (*.f64 x.im x.im) x.re))
(fma.f64 x.re (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) x.re))
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.im))
(+.f64 (*.f64 (*.f64 x.im x.im) x.re) (*.f64 (*.f64 x.im x.im) x.re))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))))
(*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (*.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
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(/.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))))
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(fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))
(fma.f64 (*.f64 x.im x.im) (*.f64 (neg.f64 x.im) x.im) (pow.f64 x.re #s(literal 4 binary64)))
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(-.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(+.f64 (neg.f64 (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)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))

eval75.0ms (1%)

Memory
4.9MiB live, 44.5MiB allocated
Compiler

Compiled 11 340 to 958 computations (91.6% saved)

prune64.0ms (0.8%)

Memory
-12.4MiB live, 25.9MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New3588366
Fresh101
Picked505
Done000
Total3648372
Accuracy
100.0%
Counts
372 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶38.3%
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶67.5%
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
▶46.6%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
54.1%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
67.4%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) x.re))
▶60.2%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
▶54.1%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
54.1%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
Compiler

Compiled 482 to 266 computations (44.8% saved)

simplify219.0ms (2.9%)

Memory
-6.0MiB live, 89.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.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-diff832
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
cost-diff2432
(/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
cost-diff0
(*.f64 x.re #s(literal -3 binary64))
cost-diff0
(*.f64 x.im x.im)
cost-diff0
(*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
cost-diff0
(*.f64 x.im x.re)
cost-diff0
(*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))
cost-diff0
(*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)))
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re))
cost-diff0
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
cost-diff0
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
cost-diff0
(pow.f64 x.re #s(literal 3 binary64))
cost-diff0
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
cost-diff128
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044342
068330
1138324
2308322
31134286
44608278
08395270
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
x.im
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
(*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)))
x.im
(*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))
(*.f64 x.im x.re)
x.re
#s(literal -3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
(*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
(*.f64 x.im x.im)
x.im
(*.f64 x.re #s(literal -3 binary64))
x.re
#s(literal -3 binary64)
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re)
(*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(fma.f64 x.im x.im (*.f64 x.re x.re))
x.im
(*.f64 x.re 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 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Outputs
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(fma.f64 (*.f64 #s(literal -2 binary64) x.re) (*.f64 x.im x.im) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
x.re
#s(literal 3 binary64)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.im)
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
x.im
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
(*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)))
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
x.im
(*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))
(*.f64 x.im x.re)
x.re
#s(literal -3 binary64)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(*.f64 x.im x.im)
x.im
(*.f64 x.re #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x.re)
x.re
#s(literal -3 binary64)
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (*.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im))
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re)
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))
(*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(fma.f64 x.im x.im (*.f64 x.re x.re))
x.im
(*.f64 x.re x.re)
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 x.re x.im)
(+.f64 x.im x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.im)
(+.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)

localize288.0ms (3.8%)

Memory
-22.2MiB live, 131.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.125
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
accuracy1.4518054044041986
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re)
accuracy4.062500000000001
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
accuracy34.35501777339952
(/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
accuracy0
(*.f64 x.re #s(literal -3 binary64))
accuracy0
(*.f64 x.im x.im)
accuracy10.137275818475983
(*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
accuracy29.26262617863517
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
accuracy0
(*.f64 x.im x.re)
accuracy0.140625
(*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)))
accuracy0.23828125
(*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))
accuracy29.26262617863517
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
accuracy0
(*.f64 x.re x.re)
accuracy0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
accuracy4.924542916889223
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)
accuracy29.574328688995735
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re))
accuracy0
(*.f64 x.re (+.f64 x.im x.im))
accuracy0.125
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
accuracy4.062500000000001
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
accuracy25.44560642627916
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
Samples
209.0ms256×0valid
Compiler

Compiled 645 to 80 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 193.0ms
ival-mult: 129.0ms (67% of total)
ival-add: 53.0ms (27.5% of total)
ival-sub: 5.0ms (2.6% of total)
ival-pow: 3.0ms (1.6% of total)
ival-div: 2.0ms (1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series58.0ms (0.8%)

Memory
5.1MiB live, 41.4MiB allocated
Counts
22 → 72
Calls
Call 1
Inputs
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
(*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))
(*.f64 x.im x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
(*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
(*.f64 x.im x.im)
(*.f64 x.re #s(literal -3 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re)
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* 2 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(pow x.re 2)
(* -3 (* x.im x.re))
(* x.im x.re)
(* -3 x.re)
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* 2 (* x.im x.re))
(* -1 (* (pow x.im 4) x.re))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3)))))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3))))))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3))))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 5)
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3)))))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.im 3)) (pow x.im 3)) x.re)) (+ (* -1 (pow x.im 2)) (pow x.im 2))) x.re)))) x.re)) 1)))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(pow x.im 2)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3)))) (pow x.re 5))
(+ (* x.im (+ (* x.im (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))))) (pow x.re 5))
(+ (* x.im (+ (* x.im (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))))) (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))))) (pow x.re 5))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 4) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 4) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.im 2)))))
(* (pow x.im 4) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (+ (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.im 2)) (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.im 3))))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) x.im)) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
Calls

6 calls:

TimeVariablePointExpression
41.0ms
x.im
@inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (* (* x.re (+ x.im x.im)) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* x.im x.re) -3)) (* (* x.im x.re) -3) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re 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.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* 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) (* x.re (+ x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
4.0ms
x.re
@-inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (* (* x.re (+ x.im x.im)) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* x.im x.re) -3)) (* (* x.im x.re) -3) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re 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.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* 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) (* x.re (+ x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
4.0ms
x.re
@inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (* (* x.re (+ x.im x.im)) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* x.im x.re) -3)) (* (* x.im x.re) -3) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re 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.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* 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) (* x.re (+ x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
3.0ms
x.re
@0
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (* (* x.re (+ x.im x.im)) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* x.im x.re) -3)) (* (* x.im x.re) -3) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re 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.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* 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) (* x.re (+ x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
3.0ms
x.im
@-inf
((- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (* x.re (+ x.im x.im)) x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow x.re 3) (* (* x.re (+ x.im x.im)) x.im) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (* x.re x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* x.im (* (* x.im x.re) -3)) (* (* x.im x.re) -3) (* x.im x.re) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* x.im x.im) (* x.re -3)) (* x.im x.im) (* x.re -3) (/ (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) x.re) (+ (* x.im x.im) (* x.re 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.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (+ (* 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) (* x.re (+ x.im x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify185.0ms (2.4%)

Memory
6.2MiB live, 124.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0270714
1919642
23192612
37950612
08653590
Stop Event
1×iter limit
1×node limit
Counts
72 → 72
Calls
Call 1
Inputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.re 3)
(* 2 (* (pow x.im 2) x.re))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(pow x.re 2)
(* -3 (* x.im x.re))
(* x.im x.re)
(* -3 x.re)
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* 2 (* x.im x.re))
(* -1 (* (pow x.im 4) x.re))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3)))))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3))))))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3))))))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 5)
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3)))))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.im 3)) (pow x.im 3)) x.re)) (+ (* -1 (pow x.im 2)) (pow x.im 2))) x.re)))) x.re)) 1)))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(pow x.im 2)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3)))) (pow x.re 5))
(+ (* x.im (+ (* x.im (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))))) (pow x.re 5))
(+ (* x.im (+ (* x.im (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))))) (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))))) (pow x.re 5))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 4) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 4) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.im 2)))))
(* (pow x.im 4) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (+ (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.im 2)) (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.im 3))))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) x.im)) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
Outputs
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(* -1 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (neg.f64 x.re) x.im) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re)
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(* 2 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64))
(* -3 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(* -3 (pow x.im 2))
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(* -3 (* x.im x.re))
(*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)
(* x.im x.re)
(*.f64 x.im x.re)
(* -3 x.re)
(*.f64 #s(literal -3 binary64) x.re)
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(*.f64 (*.f64 (neg.f64 x.re) x.im) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re)
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(* 2 (* x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(* -1 (* (pow x.im 4) x.re))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3)))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3))))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3))))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ 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)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(pow.f64 x.re #s(literal 3 binary64))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(pow x.re 5)
(pow.f64 x.re #s(literal 5 binary64))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(pow.f64 x.re #s(literal 5 binary64))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))))
(*.f64 (fma.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 5 binary64)))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3)))))))))
(*.f64 (fma.f64 #s(literal 0 binary64) (*.f64 (/.f64 (/.f64 x.im x.re) x.re) (fma.f64 (/.f64 x.im x.re) x.im x.im)) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 5 binary64)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) 1)))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(pow.f64 x.re #s(literal 3 binary64))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(pow.f64 x.re #s(literal 5 binary64))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))
(pow.f64 x.re #s(literal 5 binary64))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.im 3)) (pow x.im 3)) x.re)) (+ (* -1 (pow x.im 2)) (pow x.im 2))) x.re)))) x.re)) 1)))
(pow.f64 x.re #s(literal 5 binary64))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(+ (* -1 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re)
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(pow x.im 2)
(*.f64 x.im x.im)
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(pow.f64 x.re #s(literal 3 binary64))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.re)
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(+ (* x.im (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3)))) (pow x.re 5))
(pow.f64 x.re #s(literal 5 binary64))
(+ (* x.im (+ (* x.im (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))))) (pow x.re 5))
(pow.f64 x.re #s(literal 5 binary64))
(+ (* x.im (+ (* x.im (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))))) (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))))) (pow x.re 5))
(pow.f64 x.re #s(literal 5 binary64))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 2) (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) x.re) (*.f64 x.im x.im))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(*.f64 (*.f64 (neg.f64 x.re) x.im) x.im)
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) x.re) (*.f64 x.im x.im))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 4) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.im 2)))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (+ (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.im 2)) (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.im 3))))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(*.f64 (*.f64 (neg.f64 x.re) x.im) x.im)
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) x.re) (*.f64 x.im x.im))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(*.f64 (*.f64 x.re (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))) (*.f64 x.im x.im))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) x.im)) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))

rewrite448.0ms (5.9%)

Memory
27.0MiB live, 224.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044285
068269
1261206
21902206
08342198
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 1 229
Calls
Call 1
Inputs
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))
(pow.f64 x.re #s(literal 3 binary64))
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
(*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))
(*.f64 x.im x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
(*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64)))
(*.f64 x.im x.im)
(*.f64 x.re #s(literal -3 binary64))
(/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re)
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
Outputs
(*.f64 (-.f64 (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x.im)) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (fma.f64 #s(literal 2 binary64) x.im #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))) (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x.im #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x.im #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x.im #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) x.im #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (fma.f64 #s(literal 2 binary64) x.im #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64)))) (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x.im))) #s(literal -1 binary64))
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eval315.0ms (4.1%)

Memory
-29.9MiB live, 132.1MiB allocated
Compiler

Compiled 34 146 to 2 351 computations (93.1% saved)

prune46.0ms (0.6%)

Memory
15.0MiB live, 54.8MiB allocated
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New9005905
Fresh123
Picked235
Done000
Total90310913
Accuracy
100.0%
Counts
913 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶28.1%
(fma.f64 (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 x.im x.re) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))) (*.f64 #s(literal 2 binary64) x.im))
45.8%
(fma.f64 x.im #s(literal 2 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))))
▶38.3%
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.im))
39.0%
(-.f64 (/.f64 (*.f64 (*.f64 x.re (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
✓46.6%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
▶67.4%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) x.re))
✓60.2%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
✓54.1%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
▶54.1%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
▶54.1%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
Compiler

Compiled 513 to 274 computations (46.6% saved)

simplify194.0ms (2.5%)

Memory
-2.5MiB live, 116.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
cost-diff0
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re)
cost-diff0
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.im))
cost-diff2432
(/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
cost-diff0
(fma.f64 x.im x.im (*.f64 x.re x.re))
cost-diff0
(-.f64 x.re x.im)
cost-diff0
(*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))
cost-diff2432
(fma.f64 (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 x.im x.re) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))) (*.f64 #s(literal 2 binary64) x.im))
cost-diff0
(*.f64 #s(literal -3 binary64) x.im)
cost-diff0
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)
cost-diff0
(*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re))
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
cost-diff0
(*.f64 x.im x.re)
cost-diff0
(*.f64 (*.f64 x.im x.re) x.im)
cost-diff0
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
cost-diff0
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))
cost-diff0
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) x.re)
cost-diff0
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) x.re))
cost-diff1088
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048444
078444
1160432
2389432
31538379
46577369
08272358
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) x.re))
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) x.re)
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
(/.f64 (/.f64 x.re x.im) x.im)
(/.f64 x.re x.im)
x.re
x.im
#s(literal -3 binary64)
(*.f64 x.im x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
#s(literal -3 binary64)
(*.f64 (*.f64 x.im x.re) x.im)
(*.f64 x.im x.re)
x.im
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
(*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re))
x.im
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
x.re
(fma.f64 (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 x.im x.re) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))) (*.f64 #s(literal 2 binary64) x.im))
(*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(-.f64 x.re x.im)
x.re
x.im
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.f64 x.re x.re)
(*.f64 (+.f64 x.im x.re) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))))
(+.f64 x.im x.re)
(/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 #s(literal 2 binary64) x.im)
#s(literal 2 binary64)
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.im))
(/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re)
(*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(fma.f64 x.im x.im (*.f64 x.re x.re))
x.im
(*.f64 x.re 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.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.im)
#s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
#s(literal 2 binary64)
(*.f64 x.im x.re)
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (fma.f64 (*.f64 x.re x.re) #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) x.re))
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) x.re)
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (fma.f64 (*.f64 x.re x.re) #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))) x.re)
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (fma.f64 (*.f64 x.re x.re) #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im))))
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
(fma.f64 (*.f64 x.re x.re) #s(literal 1 binary64) (*.f64 #s(literal -3 binary64) (*.f64 x.im x.im)))
(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
(/.f64 (/.f64 x.re x.im) x.im)
(/.f64 x.re x.im)
x.re
x.im
#s(literal -3 binary64)
(*.f64 x.im x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
#s(literal -3 binary64)
(*.f64 (*.f64 x.im x.re) x.im)
(*.f64 x.im x.re)
x.im
x.re
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
(*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
x.im
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)
(*.f64 #s(literal -3 binary64) x.im)
#s(literal -3 binary64)
x.re
(fma.f64 (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 x.im x.re) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (*.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im))
(*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 x.re x.im))
(-.f64 x.re x.im)
x.re
x.im
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.f64 x.re x.re)
(*.f64 (+.f64 x.im x.re) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))))
(*.f64 (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))) (+.f64 x.im x.re))
(+.f64 x.im x.re)
(/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 #s(literal 2 binary64) x.im)
#s(literal 2 binary64)
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.im))
(fma.f64 (neg.f64 x.im) #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 (*.f64 #s(literal 2 binary64) x.re) x.im)) (*.f64 (*.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im)))
(/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (*.f64 (+.f64 x.im x.re) x.re) (-.f64 x.re x.im))
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re)
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)))
(*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(fma.f64 x.im x.im (*.f64 x.re x.re))
x.im
(*.f64 x.re x.re)
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 x.re x.im)
(+.f64 x.im x.re)
(*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.im)
(*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 (*.f64 #s(literal 2 binary64) x.re) x.im)) x.im)
#s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)))
#s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 (*.f64 #s(literal 2 binary64) x.re) x.im))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.re) x.im)
#s(literal 2 binary64)
(*.f64 x.im x.re)

localize319.0ms (4.2%)

Memory
6.3MiB live, 171.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.125
(*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.im)
accuracy1.4518054044041986
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re)
accuracy4.062500000000001
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.im))
accuracy34.35501777339952
(/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
accuracy0.07421875
(*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))
accuracy7.939652828418153
(*.f64 (+.f64 x.im x.re) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))))
accuracy10.12223512327852
(fma.f64 (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 x.im x.re) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))) (*.f64 #s(literal 2 binary64) x.im))
accuracy16.268053824853208
(/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))
accuracy0
(*.f64 #s(literal -3 binary64) x.im)
accuracy0.140625
(*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re))
accuracy0.1953125
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)
accuracy29.26262617863517
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
accuracy0
(*.f64 x.im x.re)
accuracy0.12109375
(*.f64 (*.f64 x.im x.re) x.im)
accuracy0.15234375
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
accuracy29.26262617863517
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
accuracy0.140625
(/.f64 (/.f64 x.re x.im) x.im)
accuracy1.4540989680006047
(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
accuracy4.924542916889223
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) x.re)
accuracy15.706788671488841
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
Samples
181.0ms256×0valid
Compiler

Compiled 821 to 92 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 141.0ms
ival-mult: 123.0ms (87.4% of total)
ival-add: 7.0ms (5% of total)
ival-div: 6.0ms (4.3% of total)
ival-sub: 4.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory
-24.0MiB live, 57.4MiB allocated
Counts
25 → 168
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) x.re))
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) x.re)
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
(*.f64 (*.f64 x.im x.re) x.im)
(*.f64 x.im x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
(*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re))
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)
(*.f64 #s(literal -3 binary64) x.im)
(fma.f64 (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 x.im x.re) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))) (*.f64 #s(literal 2 binary64) x.im))
(*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(-.f64 x.re x.im)
(fma.f64 x.im x.im (*.f64 x.re x.re))
(/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.im))
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re)
(*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
(/.f64 (/.f64 x.re x.im) x.im)
(/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (+.f64 x.im x.re) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))))
(*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.im)
Outputs
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* (pow x.im 2) x.re)
(* x.im x.re)
(* -3 (* x.im x.re))
(* 2 x.im)
(+ (* -1 (* (pow x.im 2) x.re)) (* 2 x.im))
(+ (* 2 x.im) (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))
(+ (* 2 x.im) (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.im 2) x.re))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (* x.im x.re)) (pow x.im 2))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.re (+ x.re (* -1 x.im))) (pow x.im 2))))
(* -1 x.im)
(- x.re x.im)
(pow x.im 2)
(+ (pow x.im 2) (pow x.re 2))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* -1 (* (pow x.im 4) x.re))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3)))))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3))))))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3))))))
(* -1 (pow x.im 4))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3)))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3)))))
-3
(- (/ (pow x.re 2) (pow x.im 2)) 3)
(/ x.re (pow x.im 2))
(* x.re (+ (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))))
(* x.re (+ (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 6)) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))))
(* x.re (+ (* (pow x.re 2) (- (* (pow x.re 2) (+ (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))))
(/ x.re x.im)
(* x.re (+ (/ 1 x.im) (/ x.re (pow x.im 2))))
(* x.re (+ (* x.re (+ (* -1 (/ x.re (pow x.im 3))) (/ 1 (pow x.im 2)))) (/ 1 x.im)))
(* x.re (+ (* x.re (+ (* x.re (- (* -1 (/ x.re (pow x.im 4))) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2)))) (/ 1 x.im)))
(* 2 (* (pow x.im 2) x.re))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 3))) (/ x.im x.re))))))
(* (pow x.re 3) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (/ (pow x.im 2) (pow x.re 2))))))
x.re
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 5)
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3)))))))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3)))))))))
(/ (pow x.re 2) (pow x.im 2))
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(/ 1 x.re)
(/ (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) x.re)
(/ (- (+ 1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2))) x.re)
(/ (- (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2)))) x.re)
1
(+ 1 (/ x.im x.re))
(+ 1 (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))
(- (+ 1 (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (/ x.im x.re))) (/ (pow x.im 2) (pow x.re 2)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -2 (/ x.im x.re)) (pow x.im 2)) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (/ x.im x.re) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ (* -1 x.im) (/ (pow x.im 2) x.re)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ (* -1 x.im) (* -1 (/ (+ (* -1 (pow x.im 2)) (/ (pow x.im 3) x.re)) x.re))) x.re)) 1)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.im 3)) (pow x.im 3)) x.re)) (+ (* -1 (pow x.im 2)) (pow x.im 2))) x.re)))) x.re)) 1)))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (+ (* -1 (/ (pow x.im 2) x.re)) (/ (pow x.im 2) x.re))) x.re))))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.im 2)) (pow x.im 2))) (+ (* -1 (/ (pow x.im 3) x.re)) (/ (pow x.im 3) x.re))) x.re))) x.re))))
(* -1 (/ (- (/ (pow x.im 2) (pow x.re 2)) 1) x.re))
(* -1 (/ (- (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) x.re))
(* -1 (/ (- (/ (pow x.im 6) (pow x.re 6)) (+ 1 (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 4) (pow x.re 4))))) x.re))
(+ 1 (* -1 (/ (+ (* -1 x.im) (/ (pow x.im 2) x.re)) x.re)))
(+ 1 (* -1 (/ (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (pow x.im 3) x.re)) (* -1 (pow x.im 2))) x.re))) x.re)))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -3 x.im)
(+ (* x.im (+ 2 (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ 2 (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re)))))) (pow x.re 3))
(+ (* -1 (* x.im (pow x.re 2))) (pow x.re 3))
(+ (* x.im (+ (* -1 (pow x.re 2)) (* x.im x.re))) (pow x.re 3))
(+ (* x.im (+ (* -1 (pow x.re 2)) (* x.im (+ x.re (* -1 x.im))))) (pow x.re 3))
(+ x.re (* -1 x.im))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3)))) (pow x.re 5))
(+ (* x.im (+ (* x.im (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))))) (pow x.re 5))
(+ (* x.im (+ (* x.im (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))))) (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))))) (pow x.re 5))
(+ (* x.im (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 4))
(+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3)))) (pow x.re 4))
(+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) (pow x.re 3)))) (pow x.re 4))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))
(+ (* -1 (/ (pow x.im 2) (pow x.re 3))) (/ 1 x.re))
(+ (* (pow x.im 2) (- (/ (pow x.im 2) (pow x.re 5)) (/ 1 (pow x.re 3)))) (/ 1 x.re))
(+ (* (pow x.im 2) (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 7))) (/ 1 (pow x.re 5)))) (/ 1 (pow x.re 3)))) (/ 1 x.re))
(+ 1 (* x.im (+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.re))))
(+ 1 (* x.im (+ (* x.im (- (* -1 (/ x.im (pow x.re 3))) (/ 1 (pow x.re 2)))) (/ 1 x.re))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* 2 (/ 1 x.im)) (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* 2 (/ 1 x.im)) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(* (pow x.im 3) (- (/ x.re x.im) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 3) (pow x.im 3)))) 1))
(* x.im (- (/ x.re x.im) 1))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 4) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 4) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.im 2)))))
(* (pow x.im 4) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (+ (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.im 2)) (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.im 3))))))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 3) (pow x.im 3))))))) 1))
(/ (+ x.re (* -1 (/ (pow x.re 3) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ x.re (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2))) (pow x.im 2))
(/ (- (+ x.re (* -1 (/ (pow x.re 7) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2)))) (pow x.im 2))
(/ (+ x.re (/ (pow x.re 2) x.im)) x.im)
(/ (+ x.re (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (/ (pow x.re 2) x.im))) x.im)
(/ (- (+ x.re (+ (* -1 (/ (pow x.re 4) (pow x.im 3))) (/ (pow x.re 2) x.im))) (/ (pow x.re 3) (pow x.im 2))) x.im)
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (- (* x.re (+ x.re (* -1 x.re))) 2) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (- (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) 2) x.im))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (* -1 (/ (pow x.re 2) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (pow x.re 2)) x.im))) x.im)))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) x.im)) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))) x.im)) 1))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)))) x.im)) 1))
(* -1 (/ (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))) x.im))
(* -1 (/ (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (pow x.re 2)) x.im))) x.im))
(* -1 (/ (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (- (/ (pow x.re 4) x.im) (* -1 (pow x.re 3))) x.im)) (pow x.re 2)) x.im))) x.im))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
x.re
@inf
((* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im 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 x.im) (* x.im x.re)) x.im)) (* x.im (* (* -3 x.im) x.re)) (* (* -3 x.im) x.re) (* -3 x.im) (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (- x.re x.im) (+ (* x.im x.im) (* x.re 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.re 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.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) 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.re) -3) (/ (/ x.re x.im) x.im) (/ x.re (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re)))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
5.0ms
x.im
@-inf
((* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im 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 x.im) (* x.im x.re)) x.im)) (* x.im (* (* -3 x.im) x.re)) (* (* -3 x.im) x.re) (* -3 x.im) (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (- x.re x.im) (+ (* x.im x.im) (* x.re 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.re 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.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) 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.re) -3) (/ (/ x.re x.im) x.im) (/ x.re (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re)))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
5.0ms
x.re
@-inf
((* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im 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 x.im) (* x.im x.re)) x.im)) (* x.im (* (* -3 x.im) x.re)) (* (* -3 x.im) x.re) (* -3 x.im) (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (- x.re x.im) (+ (* x.im x.im) (* x.re 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.re 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.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) 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.re) -3) (/ (/ x.re x.im) x.im) (/ x.re (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re)))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
4.0ms
x.im
@inf
((* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im 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 x.im) (* x.im x.re)) x.im)) (* x.im (* (* -3 x.im) x.re)) (* (* -3 x.im) x.re) (* -3 x.im) (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (- x.re x.im) (+ (* x.im x.im) (* x.re 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.re 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.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) 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.re) -3) (/ (/ x.re x.im) x.im) (/ x.re (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re)))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))
3.0ms
x.re
@0
((* (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (* x.im x.im)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (+ (* -3 (* x.im x.im)) (* x.re x.re)) x.re) (+ (* -3 (* x.im x.im)) (* x.re x.re)) (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* -3 (* (* x.im 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 x.im) (* x.im x.re)) x.im)) (* x.im (* (* -3 x.im) x.re)) (* (* -3 x.im) x.re) (* -3 x.im) (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (- x.re x.im) (+ (* x.im x.im) (* x.re 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.re 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.re x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (* (* (+ (* x.im x.im) (* x.re x.re)) (* (- x.re x.im) (+ x.im x.re))) 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.re) -3) (/ (/ x.re x.im) x.im) (/ x.re (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re)))) (* (+ (* x.re x.im) (* x.im x.re)) x.im))

simplify165.0ms (2.2%)

Memory
7.6MiB live, 166.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06312157
120661905
267611836
085051775
Stop Event
1×iter limit
1×node limit
Counts
168 → 167
Calls
Call 1
Inputs
(* -3 (pow x.im 2))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(* -3 (* (pow x.im 2) x.re))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(* (pow x.im 2) x.re)
(* x.im x.re)
(* -3 (* x.im x.re))
(* 2 x.im)
(+ (* -1 (* (pow x.im 2) x.re)) (* 2 x.im))
(+ (* 2 x.im) (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))
(+ (* 2 x.im) (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.im 2) x.re))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (* x.im x.re)) (pow x.im 2))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.re (+ x.re (* -1 x.im))) (pow x.im 2))))
(* -1 x.im)
(- x.re x.im)
(pow x.im 2)
(+ (pow x.im 2) (pow x.re 2))
(* -1 (* (pow x.im 2) x.re))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(* -1 (* (pow x.im 4) x.re))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3)))))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3))))))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3))))))
(* -1 (pow x.im 4))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3)))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3)))))
-3
(- (/ (pow x.re 2) (pow x.im 2)) 3)
(/ x.re (pow x.im 2))
(* x.re (+ (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))))
(* x.re (+ (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 6)) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))))
(* x.re (+ (* (pow x.re 2) (- (* (pow x.re 2) (+ (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))))
(/ x.re x.im)
(* x.re (+ (/ 1 x.im) (/ x.re (pow x.im 2))))
(* x.re (+ (* x.re (+ (* -1 (/ x.re (pow x.im 3))) (/ 1 (pow x.im 2)))) (/ 1 x.im)))
(* x.re (+ (* x.re (+ (* x.re (- (* -1 (/ x.re (pow x.im 4))) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2)))) (/ 1 x.im)))
(* 2 (* (pow x.im 2) x.re))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 3)
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 3))) (/ x.im x.re))))))
(* (pow x.re 3) (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (/ (pow x.im 2) (pow x.re 2))))))
x.re
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(pow x.re 5)
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3)))))))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))))
(* (pow x.re 4) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (+ (/ x.im x.re) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 3) (pow x.re 3)))))))))
(/ (pow x.re 2) (pow x.im 2))
(* (pow x.re 2) (- (/ 1 (pow x.im 2)) (* 3 (/ 1 (pow x.re 2)))))
(/ 1 x.re)
(/ (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))) x.re)
(/ (- (+ 1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2))) x.re)
(/ (- (+ 1 (* -1 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1 (/ (pow x.im 4) (pow x.re 4))) (/ (pow x.im 2) (pow x.re 2)))) x.re)
1
(+ 1 (/ x.im x.re))
(+ 1 (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))
(- (+ 1 (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (/ x.im x.re))) (/ (pow x.im 2) (pow x.re 2)))
(* -1 (* (pow x.re 3) (- (/ (pow x.im 2) (pow x.re 2)) (+ 1 (* -2 (/ (pow x.im 2) (pow x.re 2)))))))
(* -1 (* (pow x.re 3) (- (* 3 (/ (pow x.im 2) (pow x.re 2))) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -2 (/ x.im x.re)) (pow x.im 2)) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (/ x.im x.re) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ (* -1 x.im) (/ (pow x.im 2) x.re)) x.re)) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ (* -1 x.im) (* -1 (/ (+ (* -1 (pow x.im 2)) (/ (pow x.im 3) x.re)) x.re))) x.re)) 1)))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* -1 (* (pow x.re 3) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (- (pow x.im 2) (* -2 (pow x.im 2))) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1)))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (pow x.im 2)) (pow x.im 2)) x.re)))) x.re)) 1)))
(* -1 (* (pow x.re 5) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.im 3)) (pow x.im 3)) x.re)) (+ (* -1 (pow x.im 2)) (pow x.im 2))) x.re)))) x.re)) 1)))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (+ (* -1 (/ (pow x.im 2) x.re)) (/ (pow x.im 2) x.re))) x.re))))
(* (pow x.re 4) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ (* -1 (+ (* -1 (pow x.im 2)) (pow x.im 2))) (+ (* -1 (/ (pow x.im 3) x.re)) (/ (pow x.im 3) x.re))) x.re))) x.re))))
(* -1 (/ (- (/ (pow x.im 2) (pow x.re 2)) 1) x.re))
(* -1 (/ (- (* -1 (/ (pow x.im 4) (pow x.re 4))) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2))))) x.re))
(* -1 (/ (- (/ (pow x.im 6) (pow x.re 6)) (+ 1 (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ (pow x.im 4) (pow x.re 4))))) x.re))
(+ 1 (* -1 (/ (+ (* -1 x.im) (/ (pow x.im 2) x.re)) x.re)))
(+ 1 (* -1 (/ (+ (* -1 x.im) (* -1 (/ (+ (* -1 (/ (pow x.im 3) x.re)) (* -1 (pow x.im 2))) x.re))) x.re)))
(+ (* (pow x.im 2) (- (* -1 x.re) (* 2 x.re))) (pow x.re 3))
(+ (* -3 (* (pow x.im 2) x.re)) (pow x.re 3))
(* -3 x.im)
(+ (* x.im (+ 2 (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ 2 (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re)))))) (pow x.re 3))
(+ (* -1 (* x.im (pow x.re 2))) (pow x.re 3))
(+ (* x.im (+ (* -1 (pow x.re 2)) (* x.im x.re))) (pow x.re 3))
(+ (* x.im (+ (* -1 (pow x.re 2)) (* x.im (+ x.re (* -1 x.im))))) (pow x.re 3))
(+ x.re (* -1 x.im))
(+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (pow x.re 3))
(+ (* x.im (+ (* -1 (* x.im x.re)) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (+ (* x.im (- (* -1 x.re) (* 2 x.re))) (* x.re (+ x.re (* -1 x.re))))) (pow x.re 3))
(+ (* x.im (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3)))) (pow x.re 5))
(+ (* x.im (+ (* x.im (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))))) (pow x.re 5))
(+ (* x.im (+ (* x.im (+ (* x.im (* x.re (+ x.re (* -1 x.re)))) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))))) (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))))) (pow x.re 5))
(+ (* x.im (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.re 4))
(+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 3)))) (pow x.re 4))
(+ (* x.im (+ (* -1 (pow x.re 3)) (+ (* x.im (+ (* -1 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))) (pow x.re 3)))) (pow x.re 4))
(/ (+ (* -3 (pow x.im 2)) (pow x.re 2)) (pow x.im 2))
(+ (* -1 (/ (pow x.im 2) (pow x.re 3))) (/ 1 x.re))
(+ (* (pow x.im 2) (- (/ (pow x.im 2) (pow x.re 5)) (/ 1 (pow x.re 3)))) (/ 1 x.re))
(+ (* (pow x.im 2) (- (* (pow x.im 2) (+ (* -1 (/ (pow x.im 2) (pow x.re 7))) (/ 1 (pow x.re 5)))) (/ 1 (pow x.re 3)))) (/ 1 x.re))
(+ 1 (* x.im (+ (* -1 (/ x.im (pow x.re 2))) (/ 1 x.re))))
(+ 1 (* x.im (+ (* x.im (- (* -1 (/ x.im (pow x.re 3))) (/ 1 (pow x.re 2)))) (/ 1 x.re))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 3))
(* (pow x.im 2) (- (* -1 x.re) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (pow x.re 3) (pow x.im 2))) (* 2 x.re)))
(* (pow x.im 2) (+ (* -3 x.re) (/ (pow x.re 3) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* 2 (/ 1 x.im)) (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (+ (* 2 (/ 1 x.im)) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2))))))
(* (pow x.im 3) (- (/ x.re x.im) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 3) (pow x.im 3)))) 1))
(* x.im (- (/ x.re x.im) 1))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 2) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))))
(* (pow x.im 2) (- (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (pow x.re 3) (pow x.im 2)))) (* 2 x.re)))
(* (pow x.im 4) (+ (* -1 x.re) (/ (* x.re (+ x.re (* -1 x.re))) x.im)))
(* (pow x.im 4) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.im 2)))))
(* (pow x.im 4) (+ (* -1 x.re) (+ (/ (* x.re (+ x.re (* -1 x.re))) x.im) (+ (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.im 2)) (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) (pow x.im 3))))))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (/ x.re x.im) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 3) (pow x.im 3))))))) 1))
(/ (+ x.re (* -1 (/ (pow x.re 3) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ x.re (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2))) (pow x.im 2))
(/ (- (+ x.re (* -1 (/ (pow x.re 7) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2)))) (pow x.im 2))
(/ (+ x.re (/ (pow x.re 2) x.im)) x.im)
(/ (+ x.re (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (/ (pow x.re 2) x.im))) x.im)
(/ (- (+ x.re (+ (* -1 (/ (pow x.re 4) (pow x.im 3))) (/ (pow x.re 2) x.im))) (/ (pow x.re 3) (pow x.im 2))) x.im)
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (- (* x.re (+ x.re (* -1 x.re))) 2) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (- (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) 2) x.im))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (* -1 (/ (pow x.re 2) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (pow x.re 2)) x.im))) x.im)))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) x.im)) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))) x.im)) 1))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)))) x.im)) 1))
(* -1 (/ (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))) x.im))
(* -1 (/ (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (pow x.re 2)) x.im))) x.im))
(* -1 (/ (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (- (/ (pow x.re 4) x.im) (* -1 (pow x.re 3))) x.im)) (pow x.re 2)) x.im))) x.im))
Outputs
(* -3 (pow x.im 2))
(*.f64 (*.f64 x.im x.im) #s(literal -3 binary64))
(+ (* -3 (pow x.im 2)) (pow x.re 2))
(fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re))
(* x.re (- (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* x.re (- (+ (* -1 (pow x.im 2)) (pow x.re 2)) (* 2 (pow x.im 2))))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(* -3 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* x.re (+ (* -3 (pow x.im 2)) (pow x.re 2)))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(* (pow x.im 2) x.re)
(*.f64 (*.f64 x.im x.im) x.re)
(* x.im x.re)
(*.f64 x.im x.re)
(* -3 (* x.im x.re))
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)
(* 2 x.im)
(*.f64 #s(literal 2 binary64) x.im)
(+ (* -1 (* (pow x.im 2) x.re)) (* 2 x.im))
(*.f64 (fma.f64 (neg.f64 x.re) x.im #s(literal 2 binary64)) x.im)
(+ (* 2 x.im) (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im))))))
(*.f64 (fma.f64 (neg.f64 x.re) x.im #s(literal 2 binary64)) x.im)
(+ (* 2 x.im) (* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im)))))))
(fma.f64 (fma.f64 (neg.f64 x.re) x.im #s(literal 2 binary64)) x.im (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* (pow x.im 2) x.re))
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) x.im)
(+ (* -1 (pow x.im 3)) (* x.re (+ (* -1 (* x.im x.re)) (pow x.im 2))))
(*.f64 (fma.f64 (neg.f64 x.re) x.re (*.f64 (-.f64 x.re x.im) x.im)) x.im)
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.re (+ x.re (* -1 x.im))) (pow x.im 2))))
(fma.f64 (fma.f64 (neg.f64 x.re) x.re (*.f64 (-.f64 x.re x.im) x.im)) x.im (pow.f64 x.re #s(literal 3 binary64)))
(* -1 x.im)
(neg.f64 x.im)
(- x.re x.im)
(-.f64 x.re x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(+ (pow x.im 2) (pow x.re 2))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(* -1 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)
(* x.re (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.re x.im)) x.re)
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))) (* 2 (pow x.im 2))))
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* x.re (- (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))) (* 2 (pow x.im 2))))
(*.f64 (fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 x.re x.re)) x.re)
(* -1 (* (pow x.im 4) x.re))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3)))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3))))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* x.re (+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3))))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* -1 (pow x.im 4))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (pow x.im 3))))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.im 3)))))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* -1 (pow x.im 3)) (+ (* x.re (+ (* -1 (pow x.im 2)) (+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2)))) (pow x.im 3)))))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
-3
#s(literal -3 binary64)
(- (/ (pow x.re 2) (pow x.im 2)) 3)
(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
(/ x.re (pow x.im 2))
(/.f64 (/.f64 x.re x.im) x.im)
(* x.re (+ (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2))))
(+.f64 (/.f64 (neg.f64 (pow.f64 x.re #s(literal 3 binary64))) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 (/.f64 x.re x.im) x.im))
(* x.re (+ (* (pow x.re 2) (- (/ (pow x.re 2) (pow x.im 6)) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))))
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 x.re (/.f64 x.re (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (/.f64 (/.f64 x.re x.im) x.im))
(* x.re (+ (* (pow x.re 2) (- (* (pow x.re 2) (+ (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2))))
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 6 binary64))) (*.f64 x.re (/.f64 x.re (pow.f64 x.im #s(literal 8 binary64))))) (*.f64 x.re x.re) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (/.f64 (/.f64 x.re x.im) x.im))
(/ x.re x.im)
(/.f64 x.re x.im)
(* x.re (+ (/ 1 x.im) (/ x.re (pow x.im 2))))
(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re (/.f64 x.re x.im))
(* x.re (+ (* x.re (+ (* -1 (/ x.re (pow x.im 3))) (/ 1 (pow x.im 2)))) (/ 1 x.im)))
(*.f64 (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 (+ (* x.re (- (* -1 (/ x.re (pow x.im 4))) (/ 1 (pow x.im 3)))) (/ 1 (pow x.im 2)))) (/ 1 x.im)))
(*.f64 (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)) x.re)
(* 2 (* (pow x.im 2) x.re))
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal 2 binary64))
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (*.f64 x.im (/.f64 x.im x.re)) #s(literal 1 binary64)) (*.f64 x.re x.re))
(pow x.re 3)
(pow.f64 x.re #s(literal 3 binary64))
(* (pow x.re 3) (+ 1 (* -1 (/ (+ (* 2 (pow x.im 2)) (pow x.im 2)) (pow x.re 2)))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (*.f64 x.im (/.f64 x.im x.re)) #s(literal 1 binary64)))
(* (pow x.re 3) (+ 1 (* -3 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (*.f64 x.im (/.f64 x.im x.re)) #s(literal 1 binary64)))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(pow.f64 x.re #s(literal 3 binary64))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))))
(*.f64 (neg.f64 (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 binary64)))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 3))) (/ x.im x.re))))))
(*.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (neg.f64 x.im) x.re) x.re) x.im (*.f64 (/.f64 x.im (pow.f64 x.re #s(literal 3 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ 1 (* -1 (/ x.im x.re))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (+.f64 (/.f64 (fma.f64 x.im (/.f64 x.im x.re) (neg.f64 x.im)) x.re) #s(literal 1 binary64)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 3) (pow x.re 3))) (/ (pow x.im 2) (pow x.re 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 (fma.f64 x.im (/.f64 x.im x.re) (neg.f64 x.im)) x.re) #s(literal 1 binary64)) (pow.f64 (/.f64 x.im x.re) #s(literal 3 binary64))) (pow.f64 x.re #s(literal 3 binary64)))
x.re
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re)
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re)
(* (pow x.re 3) (- (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (/ x.im x.re)))) (* 2 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -3 binary64) x.re) (*.f64 x.im (/.f64 x.im x.re)) #s(literal 1 binary64)))
(pow x.re 5)
(pow.f64 x.re #s(literal 5 binary64))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(pow.f64 x.re #s(literal 5 binary64))
(* (pow x.re 5) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))))))
(*.f64 (fma.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal -1 binary64)) #s(literal -1 binary64) (*.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im)) (pow.f64 x.re #s(literal 5 binary64)))
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(*.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im) (-.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 3 binary64)) (/.f64 x.re x.im))) (pow.f64 (/.f64 x.re x.im) #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(/ (+ x.re (* -1 (/ (pow x.re 3) (pow x.im 2)))) (pow x.im 2))
(/.f64 (-.f64 (/.f64 x.re x.im) (pow.f64 (/.f64 x.re x.im) #s(literal 3 binary64))) x.im)
(/ (- (+ x.re (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2))) (pow x.im 2))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x.re #s(literal 5 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) x.im) (pow.f64 (/.f64 x.re x.im) #s(literal 3 binary64))) x.im)
(/ (- (+ x.re (* -1 (/ (pow x.re 7) (pow x.im 6)))) (+ (* -1 (/ (pow x.re 5) (pow x.im 4))) (/ (pow x.re 3) (pow x.im 2)))) (pow x.im 2))
(/.f64 (-.f64 (/.f64 (+.f64 (-.f64 x.re (/.f64 (pow.f64 x.re #s(literal 7 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (/.f64 (pow.f64 x.re #s(literal 5 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) (pow.f64 (/.f64 x.re x.im) #s(literal 3 binary64))) x.im)
(/ (+ x.re (/ (pow x.re 2) x.im)) x.im)
(/.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)
(/ (+ x.re (+ (* -1 (/ (pow x.re 3) (pow x.im 2))) (/ (pow x.re 2) x.im))) x.im)
(/.f64 (+.f64 (/.f64 (fma.f64 x.re x.re (/.f64 (neg.f64 (pow.f64 x.re #s(literal 3 binary64))) x.im)) x.im) x.re) x.im)
(/ (- (+ x.re (+ (* -1 (/ (pow x.re 4) (pow x.im 3))) (/ (pow x.re 2) x.im))) (/ (pow x.re 3) (pow x.im 2))) x.im)
(-.f64 (/.f64 (-.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) x.im) (pow.f64 (/.f64 x.re x.im) #s(literal 3 binary64)))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (- (* x.re (+ x.re (* -1 x.re))) 2) x.im))))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x.im) x.re) x.im) x.im)
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (- (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) 2) x.im))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) #s(literal 2 binary64)) x.im) x.re) (*.f64 x.im x.im))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ x.re x.im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.re x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (* -1 (/ (pow x.re 2) x.im))) x.im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x.re (*.f64 x.re (/.f64 x.re x.im))) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ x.re (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (pow x.re 2)) x.im))) x.im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x.re (/.f64 (fma.f64 x.re x.re (/.f64 (neg.f64 (pow.f64 x.re #s(literal 3 binary64))) x.im)) x.im)) x.im)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.re x.im)) (neg.f64 x.im))
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)
(* (pow x.im 2) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(*.f64 (-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im) x.re) (*.f64 x.im x.im))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))) (* 2 x.re)))
(*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))
(* (pow x.im 2) (- (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))) (* 2 x.re)))
(*.f64 (fma.f64 #s(literal -3 binary64) x.re (/.f64 (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im) x.im)) (*.f64 x.im x.im))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (* x.re (+ x.re (* -1 x.re))) x.im))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x.re (+ (* -1 (pow x.re 3)) (pow x.re 3))) x.im)) (* x.re (+ (* -1 (pow x.re 2)) (pow x.re 2)))) x.im)) (* x.re (+ x.re (* -1 x.re)))) x.im))))
(*.f64 (neg.f64 x.re) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) x.im)))) x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (+ (* -1 (pow x.re 3)) (pow x.re 3)) x.im)) (+ (* -1 (pow x.re 2)) (pow x.re 2))) x.im)))) x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(* -1 (/ (+ (* -1 x.re) (* -1 (/ (pow x.re 2) x.im))) x.im))
(/.f64 (fma.f64 x.re (/.f64 x.re x.im) x.re) x.im)
(* -1 (/ (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (pow x.re 2)) x.im))) x.im))
(/.f64 (+.f64 (/.f64 (fma.f64 x.re x.re (/.f64 (neg.f64 (pow.f64 x.re #s(literal 3 binary64))) x.im)) x.im) x.re) x.im)
(* -1 (/ (+ (* -1 x.re) (* -1 (/ (+ (* -1 (/ (- (/ (pow x.re 4) x.im) (* -1 (pow x.re 3))) x.im)) (pow x.re 2)) x.im))) x.im))
(/.f64 (+.f64 (/.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))) (neg.f64 x.im))) x.im) x.re) x.im)

rewrite195.0ms (2.6%)

Memory
26.0MiB live, 294.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048371
079371
1304292
22354287
09151280
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 878
Calls
Call 1
Inputs
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) x.re))
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) x.re)
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
(*.f64 (*.f64 x.im x.re) x.im)
(*.f64 x.im x.re)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
(*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re))
(*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)
(*.f64 #s(literal -3 binary64) x.im)
(fma.f64 (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 x.im x.re) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))) (*.f64 #s(literal 2 binary64) x.im))
(*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(-.f64 x.re x.im)
(fma.f64 x.im x.im (*.f64 x.re x.re))
(/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.im))
(*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re)
(*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64))
(/.f64 (/.f64 x.re x.im) x.im)
(/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (+.f64 x.im x.re) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))))
(*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.im)
Outputs
(*.f64 (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.im) x.im)
(*.f64 (*.f64 x.im x.im) (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) (*.f64 x.im x.im))
(*.f64 x.im (*.f64 (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)) x.im))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 x.im x.im))) (neg.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -27 binary64) (pow.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 x.im x.im))) (neg.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 x.im x.im) (-.f64 (pow.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64)))) (neg.f64 (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -27 binary64) (pow.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 x.im x.im)) (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -27 binary64) (pow.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 x.im x.im)) (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(/.f64 (*.f64 (*.f64 x.im x.im) (-.f64 (pow.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64))) (-.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)))
(/.f64 (*.f64 (*.f64 x.im x.im) (+.f64 #s(literal -27 binary64) (pow.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 9 binary64)) (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
(fma.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 x.im x.im)))
(fma.f64 (*.f64 #s(literal -3 binary64) x.im) x.im (*.f64 (*.f64 x.im x.im) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 (*.f64 x.im x.im) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 x.im x.im)))
(fma.f64 (*.f64 x.im x.im) #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 x.im x.im)))
(fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 (*.f64 x.im x.im) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 x.im (*.f64 #s(literal -3 binary64) x.im) (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 x.im x.im)))
(fma.f64 x.im (*.f64 #s(literal -3 binary64) x.im) (*.f64 (*.f64 x.im x.im) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
(+.f64 (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 x.im x.im)) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(+.f64 (*.f64 (*.f64 x.im x.im) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(+.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) (*.f64 x.im x.im)))
(+.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) (*.f64 (*.f64 x.im x.im) (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (*.f64 x.im x.im) (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)))) x.re))
(*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (*.f64 x.im x.im) (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)))) x.re)
(*.f64 x.re #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (*.f64 x.im x.im) (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64)))))
#s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (*.f64 x.im x.im) (+.f64 (pow.f64 (/.f64 x.re x.im) #s(literal 2 binary64)) #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
(*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re))
(*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
(*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 (*.f64 x.im x.re) x.im)
(*.f64 (*.f64 x.im x.im) x.re)
(*.f64 x.im (*.f64 x.im x.re))
(*.f64 x.re (*.f64 x.im x.im))
(*.f64 x.im x.re)
(*.f64 x.re x.im)
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im))
(*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)
(*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re))
(*.f64 (*.f64 (*.f64 x.im x.re) x.im) #s(literal -3 binary64))
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal -3 binary64) x.im))
(*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)) x.re)
(*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))
(*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re))
(*.f64 x.re (*.f64 (*.f64 x.im x.im) #s(literal -3 binary64)))
(*.f64 (*.f64 #s(literal -3 binary64) x.re) x.im)
(*.f64 (*.f64 x.re #s(literal -3 binary64)) x.im)
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(/.f64 (*.f64 (neg.f64 x.re) (+.f64 x.im x.re)) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))))
(/.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))) (-.f64 x.im x.re))
(/.f64 (*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))) (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)))
(/.f64 (*.f64 (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (-.f64 x.im x.re))
(/.f64 (*.f64 (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)))
(/.f64 (*.f64 (+.f64 x.im x.re) #s(literal 1 binary64)) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.re))
(/.f64 (*.f64 (+.f64 x.im x.re) (neg.f64 x.re)) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))))
(/.f64 (neg.f64 (+.f64 x.im x.re)) (neg.f64 (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.re)))
(/.f64 (neg.f64 (*.f64 (+.f64 x.im x.re) x.re)) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (*.f64 (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.re) (-.f64 x.im x.re)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.re) (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im))))
(/.f64 (*.f64 (neg.f64 x.re) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (*.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))) (-.f64 x.im x.re)))
(/.f64 (*.f64 (neg.f64 x.re) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))) (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im))))
(/.f64 (*.f64 x.re (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (-.f64 x.im x.re)))
(/.f64 (*.f64 x.re (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im))))
(/.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)) #s(literal 1 binary64)) (*.f64 (-.f64 x.im x.re) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.re)))
(/.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)) (neg.f64 x.re)) (*.f64 (-.f64 x.im x.re) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(/.f64 (*.f64 (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)) x.re) (*.f64 (-.f64 x.im x.re) (fma.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 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.re)))
(/.f64 (*.f64 (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (neg.f64 x.re)) (*.f64 (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)) (neg.f64 (fma.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))) x.re) (*.f64 (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (+.f64 x.im x.re) x.re))))
(/.f64 (*.f64 (+.f64 x.im x.re) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (+.f64 x.im x.re) x.re)))
(/.f64 (+.f64 x.im x.re) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.re))
(fma.f64 (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im (*.f64 (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re))
(fma.f64 (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re (*.f64 (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im))
(fma.f64 x.im (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 x.re (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(fma.f64 x.re (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 x.im (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(-.f64 (/.f64 (/.f64 (*.f64 x.im x.im) (-.f64 x.im x.re)) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.re)) (/.f64 (/.f64 (*.f64 x.re x.re) (-.f64 x.im x.re)) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.re)))
(+.f64 (*.f64 x.im (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))) (*.f64 x.re (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(+.f64 (*.f64 x.re (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))) (*.f64 x.im (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(+.f64 (*.f64 (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im) (*.f64 (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re))
(+.f64 (*.f64 (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))) x.re) (*.f64 (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im))
(*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) x.im)
(*.f64 x.im #s(approx (+ (* x.re x.im) (* x.im x.re)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))

eval209.0ms (2.7%)

Memory
-15.2MiB live, 386.9MiB allocated
Compiler

Compiled 58 046 to 4 565 computations (92.1% saved)

prune38.0ms (0.5%)

Memory
-12.9MiB live, 108.1MiB allocated
Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New1 25981 267
Fresh202
Picked325
Done033
Total1 264131 277
Accuracy
100.0%
Counts
1 277 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.3%
(fma.f64 (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 x.im x.re) #s(approx (/ x.re (+ (* x.im x.im) (* x.re x.re))) (/.f64 #s(literal 1 binary64) x.re))) (*.f64 #s(literal 2 binary64) x.im))
26.4%
(fma.f64 #s(approx (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (*.f64 (*.f64 (-.f64 x.re x.im) x.re) x.re)) (*.f64 (+.f64 x.im x.re) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))) (*.f64 #s(literal 2 binary64) x.im))
38.2%
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.im))
60.2%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
✓46.6%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
61.9%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) x.re))
35.1%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (*.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re)) (*.f64 x.im x.im))) x.re))
✓60.2%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
✓54.1%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
✓54.1%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
✓54.1%
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
19.2%
#s(approx (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.re) x.im #s(literal 2 binary64)) x.im))
2.7%
#s(approx (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (*.f64 #s(literal 2 binary64) x.im))
Compiler

Compiled 1 299 to 389 computations (70.1% saved)

regimes26.0ms (0.3%)

Memory
17.9MiB live, 55.5MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (*.f64 #s(literal 2 binary64) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
#s(approx (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.re) x.im #s(literal 2 binary64)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (*.f64 (*.f64 (neg.f64 x.im) x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 x.re (*.f64 x.im x.im)) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) x.re))
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 #s(approx (+ (* (/ (/ x.re x.im) x.im) x.re) -3) (*.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re)) (*.f64 x.im x.im))) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re #s(literal -3 binary64)) (*.f64 x.im x.im))) x.re))
(fma.f64 (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 x.im x.re) #s(approx (/ x.re (+ (* x.im x.im) (* x.re x.re))) (/.f64 #s(literal 1 binary64) x.re))) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 #s(approx (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (*.f64 (*.f64 (-.f64 x.re x.im) x.re) x.re)) (*.f64 (+.f64 x.im x.re) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 x.im x.re) (/.f64 x.re (fma.f64 x.im x.im (*.f64 x.re x.re)))) (*.f64 #s(literal 2 binary64) x.im))
(-.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.im))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 #s(approx (+ (* x.re x.im) (* x.im x.re)) (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))) x.im))
(-.f64 (/.f64 (*.f64 (*.f64 x.re (*.f64 (-.f64 x.re x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))) (+.f64 x.im x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(fma.f64 x.im #s(literal 2 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))))
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.im))
(-.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.re) (pow.f64 x.re #s(literal 3 binary64))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
(-.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.re) (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.im))
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
Calls

3 calls:

10.0ms
x.re
8.0ms
x.im
7.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
98.8%3x.re
98.6%2x.im
99.9%3(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes11.0ms (0.1%)

Memory
-15.7MiB live, 23.1MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (*.f64 #s(literal 2 binary64) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
#s(approx (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.re) x.im #s(literal 2 binary64)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 x.im x.re) #s(literal -3 binary64))))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 #s(literal -3 binary64) x.im) (*.f64 x.im x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 x.im x.im) (*.f64 x.re #s(literal -3 binary64))))
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
Calls

3 calls:

3.0ms
x.im
3.0ms
x.re
3.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
81.8%2x.re
96.7%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
85.5%2x.im
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes2.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (*.f64 #s(literal 2 binary64) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
#s(approx (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.re) x.im #s(literal 2 binary64)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
Calls

1 calls:

2.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
96.7%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes2.0ms (0%)

Memory
5.7MiB live, 5.7MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (*.f64 #s(literal 2 binary64) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
#s(approx (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.re) x.im #s(literal 2 binary64)) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
Calls

1 calls:

2.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
89.1%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes6.0ms (0.1%)

Memory
14.1MiB live, 14.1MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (*.f64 #s(literal 2 binary64) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
#s(approx (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.re) x.im #s(literal 2 binary64)) x.im))
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
#s(approx (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.re) x.im #s(literal 2 binary64)) x.im))
Calls

3 calls:

2.0ms
x.im
2.0ms
x.re
2.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
60.2%1x.re
75.0%2x.im
74.0%2(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes3.0ms (0%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (*.f64 #s(literal 2 binary64) x.im))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
Outputs
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
Calls

2 calls:

2.0ms
x.im
1.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
Results
AccuracySegmentsBranch
60.2%1(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
60.2%1x.im
Compiler

Compiled 20 to 13 computations (35% saved)

regimes5.0ms (0.1%)

Memory
-27.2MiB live, 12.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

2.0ms
(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
1.0ms
x.re
1.0ms
x.im
Results
AccuracySegmentsBranch
2.7%1x.re
2.7%1(-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
2.7%1x.im
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch10.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
2.7830218509542084e+146
6.5182602727316125e+146
Samples
6.0ms80×0valid
Compiler

Compiled 307 to 191 computations (37.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (77.4% of total)
ival-sub: 1.0ms (25.8% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.974305914615534e-308
-0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.974305914615534e-308
-0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-4.974305914615534e-308
-0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch17.0ms (0.2%)

Memory
-18.4MiB live, 24.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
15.0ms
2.277219413931267e+142
1.3718885759411045e+144
Samples
11.0ms112×0valid
Compiler

Compiled 526 to 289 computations (45.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 7.0ms (86.1% of total)
ival-sub: 1.0ms (12.3% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify27.0ms (0.4%)

Memory
21.9MiB live, 61.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066457
195457
2114457
3130457
4136457
5137457
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 x.im #s(literal 649999999999999967952562521304264012035284749638335000508767326824795479407850554143925562169115346624513175403605800531441230846392385451551883264 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -8096090132292425/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -8096090132292425/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -8096090132292425/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 x.im #s(literal 94000000000000003964989200538713190832922710305323440270278881044887677858499671705547014430827844048142524913668207221994087688846900061011968 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) #s(approx (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.re) x.im #s(literal 2 binary64)) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
#s(approx (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (*.f64 #s(literal 2 binary64) x.im))
Outputs
(if (<=.f64 x.im #s(literal 649999999999999967952562521304264012035284749638335000508767326824795479407850554143925562169115346624513175403605800531441230846392385451551883264 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))))
(if (<=.f64 x.im #s(literal 649999999999999967952562521304264012035284749638335000508767326824795479407850554143925562169115346624513175403605800531441230846392385451551883264 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.re x.im) x.im) #s(literal -3 binary64))))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -8096090132292425/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 x.im (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.im)) #s(literal -8096090132292425/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) x.im) x.re) x.im)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -8096090132292425/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.re) x.im))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.im)) #s(literal -8096090132292425/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.re x.im) x.im) #s(literal -3 binary64))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.im)) #s(literal -8096090132292425/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.im x.im) x.re))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 (-.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.re) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.im)) #s(literal -8096090132292425/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 (*.f64 (*.f64 x.im x.im) x.re) #s(literal -3 binary64))) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)))
(if (<=.f64 x.im #s(literal 94000000000000003964989200538713190832922710305323440270278881044887677858499671705547014430827844048142524913668207221994087688846900061011968 binary64)) #s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re)) #s(approx (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.re) x.im #s(literal 2 binary64)) x.im)))
#s(approx (- (* (- (* x.re x.re) (* x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.im)) (*.f64 #s(approx (+ (* -3 (* x.im x.im)) (* x.re x.re)) (*.f64 x.re x.re)) x.re))
#s(approx (+ (* (* (- x.re x.im) (+ (* x.im x.im) (* x.re x.re))) (* (+ x.im x.re) (/ x.re (+ (* x.im x.im) (* x.re x.re))))) (* 2 x.im)) (*.f64 #s(literal 2 binary64) x.im))

soundness1.1s (15%)

Memory
-3.1MiB live, 677.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041251
063251
1245209
01650204
01154
02054
18342
057241
0109426
1334361
2942361
33466361
47331361
08180346
044285
068269
1261206
21902206
08342198
06312157
120661905
267611836
085051775
056190
1169170
2519170
32113170
45800170
08265165
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 878 to 309 computations (64.8% saved)

preprocess77.0ms (1%)

Memory
-12.6MiB live, 144.3MiB allocated
Remove

(negabs x.re)

Compiler

Compiled 1 352 to 322 computations (76.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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