math.cube on complex, imaginary part

Time bar (total: 7.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB 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)

sample1.4s (19.9%)

Memory
16.8MiB live, 796.2MiB allocated
Samples
925.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 636.0ms
ival-mult: 404.0ms (63.5% of total)
ival-add: 181.0ms (28.5% of total)
ival-sub: 42.0ms (6.6% of total)
ival-true: 5.0ms (0.8% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain536.0ms (7.6%)

Memory
-18.0MiB live, 236.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
250-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
180-0-(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
120-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
00-0-(*.f64 x.re x.im)
00-0-(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
00-0-(*.f64 x.im x.im)
00-0-(*.f64 x.re x.re)
00-0-(*.f64 x.im x.re)
00-0-(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
00-0-x.re
00-0-x.im
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)n*o250
+.f64(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))nan-rescue180
↳(*.f64 x.re x.re)overflow69
↳(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow116
↳(*.f64 x.im x.im)overflow59
↳(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)overflow113
↳(*.f64 x.im x.re)overflow25
↳(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)overflow59
↳(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))overflow25
↳(*.f64 x.re x.im)overflow25
-.f64(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))nan-rescue120
↳(*.f64 x.re x.re)overflow69
↳(*.f64 x.im x.im)overflow59
Confusion
Predicted +Predicted -
+470
-0209
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4700
-00209
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0209
139
28
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
136.0ms512×0valid
Compiler

Compiled 283 to 59 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 53.0ms (88% of total)
ival-add: 4.0ms (6.6% of total)
ival-sub: 2.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess270.0ms (3.8%)

Memory
48.6MiB live, 237.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

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

(abs x.re)

(negabs x.im)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune2.0ms (0%)

Memory
-37.8MiB live, 1.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶82.1%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 19 to 11 computations (42.1% saved)

simplify173.0ms (2.4%)

Memory
18.2MiB live, 211.0MiB 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.im)
cost-diff128
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
Iterations

Useful iterations: 3 (0.0ms)

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

localize354.0ms (5%)

Memory
-160.2MiB live, 87.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.140625
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy2.804670986641647
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy4.570275344943704
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy5.961716920638561
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
Samples
81.0ms256×0valid
Compiler

Compiled 132 to 24 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-add: 55.0ms (74.8% of total)
ival-mult: 17.0ms (23.1% of total)
ival-sub: 1.0ms (1.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
21.0MiB live, 21.0MiB allocated
Counts
6 → 22
Calls
Call 1
Inputs
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 x.re x.re)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
Outputs
(* 2 (* x.im x.re))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 2 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
Calls

6 calls:

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

simplify142.0ms (2%)

Memory
-23.2MiB live, 170.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057180
1182170
2586170
32560170
46935170
08454170
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 3))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 2 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
Outputs
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.im x.re) #s(literal 2 binary64))
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(- (pow x.re 2) (pow x.im 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)

rewrite75.0ms (1.1%)

Memory
13.9MiB live, 99.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval9.0ms (0.1%)

Memory
-17.9MiB live, 21.2MiB allocated
Compiler

Compiled 2 335 to 321 computations (86.3% saved)

prune8.0ms (0.1%)

Memory
20.2MiB live, 20.2MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New801191
Fresh000
Picked101
Done000
Total811192
Accuracy
96.8%
Counts
92 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
14.9%
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
30.9%
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶36.0%
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
32.5%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.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))))) x.re))
▶82.1%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
▶92.8%
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
66.4%
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶43.6%
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
66.5%
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
87.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
▶43.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
Compiler

Compiled 578 to 336 computations (41.9% saved)

simplify121.0ms (1.7%)

Memory
5.0MiB live, 159.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im)
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff256
(-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
cost-diff448
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
cost-diff128
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
cost-diff704
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
cost-diff0
(*.f64 (*.f64 x.re x.re) x.im)
cost-diff0
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im))
cost-diff128
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(*.f64 (*.f64 x.re x.re) x.im)
cost-diff0
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
cost-diff0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
cost-diff0
(+.f64 x.im x.re)
cost-diff0
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff704
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044383
072359
1131349
2249339
3756309
42840309
55649309
08119303
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.im x.re)
x.im
x.re
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
x.re
x.im
#s(literal 3 binary64)
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
x.re
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im)
(/.f64 (-.f64 (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 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im)))
(pow.f64 x.re #s(literal 4 binary64))
x.re
#s(literal 4 binary64)
(*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
(-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(*.f64 x.re x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Outputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
(+.f64 x.im x.re)
(+.f64 x.re x.im)
x.im
x.re
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.re) x.re) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
x.re
x.im
#s(literal 3 binary64)
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.re) x.re) x.im #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
x.re
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.re) x.re) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.re) x.re) x.im)
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.re) x.re (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.re x.re (*.f64 x.im x.im)))) x.im)
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im)
(*.f64 (/.f64 x.im (fma.f64 x.re x.re (*.f64 x.im x.im))) (-.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)) (*.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 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(-.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 (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)
(*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))
(pow.f64 x.im #s(literal 4 binary64))
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
(-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(fma.f64 x.re x.re (*.f64 x.im x.im))
(*.f64 x.re x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.re) x.re) x.im)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)

localize115.0ms (1.6%)

Memory
-0.5MiB live, 161.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.570275344943704
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy5.961716920638561
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im)
accuracy6.437473165792676
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im)))
accuracy44.26286714537836
(/.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)))
accuracy0.140625
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy2.804670986641647
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy4.570275344943704
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
accuracy5.961716920638561
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy0.140625
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy4.570275344943704
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy10.605800513421478
(*.f64 (*.f64 x.re x.re) x.im)
accuracy30.215906984184706
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im))
accuracy0
(*.f64 x.re x.re)
accuracy0.18359375
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
accuracy10.605800513421478
(*.f64 (*.f64 x.re x.re) x.im)
accuracy30.208409885205555
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
accuracy0.0078125
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
accuracy0.125
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
accuracy0.140625
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy4.570275344943704
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Samples
66.0ms256×0valid
Compiler

Compiled 748 to 79 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 28.0ms (61.3% of total)
ival-add: 7.0ms (15.3% of total)
ival-sub: 4.0ms (8.8% of total)
ival-pow: 3.0ms (6.6% of total)
ival-div: 1.0ms (2.2% of total)
ival-neg: 1.0ms (2.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series30.0ms (0.4%)

Memory
-19.2MiB live, 55.4MiB allocated
Counts
20 → 62
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.im x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(/.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 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im)))
Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
x.im
(+ x.im x.re)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(pow x.im 2)
(- (pow x.re 2) (* -1 (pow x.im 2)))
(* 2 (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* -1 (pow x.im 4))
(- (pow x.re 4) (pow x.im 4))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(+ (pow x.im 2) (pow x.re 2))
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* x.im (+ 1 (/ x.re x.im)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x.im
@-inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (* x.re (+ x.im x.im)) x.re) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))
6.0ms
x.im
@inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (* x.re (+ x.im x.im)) x.re) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))
6.0ms
x.re
@0
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (* x.re (+ x.im x.im)) x.re) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))
3.0ms
x.re
@inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (* x.re (+ x.im x.im)) x.re) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))
3.0ms
x.re
@-inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (* x.re (+ x.im x.im)) x.re) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))

simplify167.0ms (2.4%)

Memory
26.1MiB live, 232.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0183778
1629633
22020560
08326541
Stop Event
1×iter limit
1×node limit
Counts
62 → 60
Calls
Call 1
Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
x.im
(+ x.im x.re)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(pow x.im 2)
(- (pow x.re 2) (* -1 (pow x.im 2)))
(* 2 (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* -1 (pow x.im 4))
(- (pow x.re 4) (pow x.im 4))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(+ (pow x.im 2) (pow x.re 2))
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* x.im (+ 1 (/ x.re x.im)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
Outputs
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* 2 (* x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
x.im
(+ x.im x.re)
(+.f64 x.re x.im)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(- (pow x.re 2) (pow x.im 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(- (pow x.re 2) (* -1 (pow x.im 2)))
(fma.f64 x.re x.re (*.f64 x.im x.im))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) x.im)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* -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 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (/ (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 4)
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(+ (pow x.im 2) (pow x.re 2))
(fma.f64 x.re x.re (*.f64 x.im x.im))
(+ (* -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 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* x.im (+ 1 (/ x.re x.im)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) (fma.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im)
(* (pow x.im 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)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))

rewrite262.0ms (3.7%)

Memory
-8.3MiB live, 501.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044270
072205
1280176
21741176
08890161
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 2 340
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.im x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(/.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 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im)))
Outputs
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x.im x.im))) (pow.f64 (-.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im)) (-.f64 (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x.im x.im)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x.im x.im)) (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x.im) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x.im x.im))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im))) (*.f64 (-.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im)) (*.f64 #s(literal 4 binary64) (*.f64 x.im x.im)))) (*.f64 (-.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im)) (-.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) #s(literal 0 binary64) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 #s(literal 0 binary64) x.re))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) #s(literal 0 binary64)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64)))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) #s(literal 0 binary64) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) #s(literal 0 binary64)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 #s(literal 2 binary64) x.im)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
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(/.f64 (+.f64 (pow.f64 x.im #s(literal 12 binary64)) (pow.f64 x.re #s(literal 12 binary64))) (+.f64 (pow.f64 x.im #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #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)) (-.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))) (pow.f64 x.im #s(literal 8 binary64)))) (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #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 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))) (pow.f64 x.im #s(literal 12 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 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.re #s(literal 4 binary64)) (pow.f64 x.im #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 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.re x.im) #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.re x.im) #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.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #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 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #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 12 binary64)) (pow.f64 x.im #s(literal 12 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))))
(fma.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 x.im) x.im))) (exp.f64 (log.f64 (*.f64 (neg.f64 x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (pow.f64 (*.f64 (neg.f64 x.im) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) x.re (pow.f64 x.im #s(literal 4 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) x.im (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (neg.f64 x.im) (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #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)))
(fma.f64 (*.f64 x.im x.im) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (pow.f64 x.im #s(literal 4 binary64)))
(fma.f64 x.re (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(fma.f64 x.im (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #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.re x.im) #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 (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)) (pow.f64 x.im #s(literal 4 binary64)))

eval141.0ms (2%)

Memory
19.3MiB live, 360.3MiB allocated
Compiler

Compiled 48 044 to 3 912 computations (91.9% saved)

prune99.0ms (1.4%)

Memory
-19.8MiB live, 103.3MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1 243161 259
Fresh606
Picked415
Done000
Total1 253171 270
Accuracy
100.0%
Counts
1 270 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
59.2%
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
19.9%
(fma.f64 x.im #s(literal 2 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)))
▶30.9%
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶77.3%
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
16.7%
(+.f64 (*.f64 (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
40.9%
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))) x.re))
40.9%
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) #s(literal -1 binary64))) x.re))
64.4%
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
▶86.0%
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
✓43.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
52.7%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
▶43.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
43.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
52.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
52.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
▶52.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
58.2%
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
Compiler

Compiled 911 to 538 computations (40.9% saved)

simplify131.0ms (1.9%)

Memory
9.9MiB live, 183.0MiB 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.im)
cost-diff0
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff448
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff0
(*.f64 (-.f64 x.re x.im) x.im)
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff832
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff1408
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
cost-diff0
(*.f64 #s(literal 3 binary64) x.im)
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
cost-diff0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
cost-diff0
(*.f64 #s(literal 3 binary64) x.im)
cost-diff0
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
cost-diff0
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
cost-diff0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im))
cost-diff0
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
cost-diff0
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054366
085348
1156330
2344320
31355302
45866302
08645300
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im))
(*.f64 x.re x.re)
x.re
#s(literal 3 binary64)
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
x.re
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 x.re x.re)
x.re
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re 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 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im)
(-.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.re x.re (*.f64 x.im x.im))
(*.f64 x.im x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Outputs
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)) (neg.f64 x.im)))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)) (neg.f64 x.im))
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im))
(neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)))
(*.f64 x.re x.re)
x.re
#s(literal 3 binary64)
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
x.re
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(*.f64 x.re x.re)
x.re
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) x.re) x.re (*.f64 x.im x.im)) (neg.f64 x.im))
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))
(*.f64 (*.f64 (-.f64 x.im x.re) x.im) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
x.re
x.im
(*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))
(*.f64 (-.f64 x.im x.re) (+.f64 x.im x.re))
(+.f64 x.re x.im)
(+.f64 x.im x.re)
(-.f64 x.im x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 x.im (fma.f64 (*.f64 #s(literal 2 binary64) x.re) x.re (/.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 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(/.f64 (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) x.im (pow.f64 (neg.f64 x.im) #s(literal 5 binary64))) (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.im)
(fma.f64 (pow.f64 x.re #s(literal 4 binary64)) x.im (pow.f64 (neg.f64 x.im) #s(literal 5 binary64)))
(-.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.re x.re (*.f64 x.im x.im))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.f64 x.im x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.im x.re)

localize112.0ms (1.6%)

Memory
3.8MiB live, 204.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.095332027854391
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im)
accuracy4.570275344943704
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy6.437473165792676
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
accuracy38.216389983908755
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))
accuracy0.140625
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy1.2858152713583884
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))
accuracy4.570275344943704
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy9.073481215228545
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
accuracy0
(*.f64 x.re x.re)
accuracy0
(*.f64 #s(literal 3 binary64) x.im)
accuracy10.65328185660536
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
accuracy30.208409885205555
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
accuracy0
(*.f64 #s(literal 3 binary64) x.im)
accuracy0.1875
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
accuracy0.21484375
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
accuracy30.208409885205555
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
accuracy0
(neg.f64 x.im)
accuracy0
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
accuracy2.882795986641647
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im))
accuracy5.956299212925619
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
Samples
82.0ms256×0valid
Compiler

Compiled 711 to 100 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 33.0ms (55.4% of total)
ival-add: 9.0ms (15.1% of total)
ival-sub: 6.0ms (10.1% of total)
ival-pow: 5.0ms (8.4% of total)
ival-div: 4.0ms (6.7% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series38.0ms (0.5%)

Memory
-20.0MiB live, 59.6MiB allocated
Counts
21 → 90
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im))
(*.f64 x.re x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
(*.f64 #s(literal 3 binary64) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (-.f64 x.re x.im) x.im)
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im)
(neg.f64 x.im)
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* -1 (pow x.im 5))
(+ (* -1 (pow x.im 5)) (* x.im (pow x.re 4)))
(* -1 (pow x.im 4))
(+ (* -1 (pow x.im 4)) (* x.im (* x.re (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* x.im (* x.re (+ (* -1 x.im) (* 2 x.im)))) (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (* x.re (+ (* -1 (* x.im x.re)) (* x.im (+ (* -1 x.im) (* 2 x.im))))))))
(* 2 (* x.im (pow x.re 2)))
(- (pow x.re 4) (pow x.im 4))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* x.im (pow x.re 4))
(* (pow x.re 4) (+ x.im (* -1 (/ (pow x.im 5) (pow x.re 4)))))
(* -1 (* x.im (pow x.re 3)))
(* (pow x.re 3) (+ (* -1 x.im) (/ (* x.im (+ (* -1 x.im) (* 2 x.im))) x.re)))
(* (pow x.re 3) (+ (* -1 x.im) (+ (/ (* x.im (+ (* -1 x.im) (* 2 x.im))) x.re) (/ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (pow x.re 2)))))
(* (pow x.re 3) (+ (* -1 x.im) (+ (* -1 (/ (pow x.im 4) (pow x.re 3))) (+ (/ (* x.im (+ (* -1 x.im) (* 2 x.im))) x.re) (/ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (pow x.re 2))))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* (pow x.re 3) (+ x.im (/ (* x.im (+ x.im (* -2 x.im))) x.re))))
(* -1 (* (pow x.re 3) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -2 x.im)))) (/ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) x.re)) x.re)))))
(* -1 (* (pow x.re 3) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -2 x.im)))) (* -1 (/ (+ (* -1 (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))) (/ (pow x.im 4) x.re)) x.re))) x.re)))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* 3 x.im)
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 4)) (pow x.re 4)))
(* -1 x.im)
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2))))))
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (+ (* 2 (pow x.re 2)) (* x.im (+ (* -1 x.re) (* 2 x.re))))))))
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (+ (* 2 (pow x.re 2)) (* x.im (+ (* -1 x.im) (+ (* -1 x.re) (* 2 x.re)))))))))
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 5) (- (/ (pow x.re 4) (pow x.im 4)) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (* 2 (/ x.re x.im))) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2)))))) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2))))))) 1))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 5) (+ 1 (* -1 (/ (pow x.re 4) (pow x.im 4))))))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (* -2 x.re)) x.im)) 1))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -2 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2))) x.im)))) x.im)) 1))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -2 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2)))) x.im)))) x.im)) 1))
Calls

6 calls:

TimeVariablePointExpression
12.0ms
x.re
@inf
((+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.re) (* 3 x.im)) (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im 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.re x.im) x.im) (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.re x.re) (* x.im x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.re x.re) (* x.im x.im))) (* (- (pow x.re 4) (pow x.im 4)) x.im) (neg x.im) (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 4) (pow x.im 4)))
8.0ms
x.im
@-inf
((+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.re) (* 3 x.im)) (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im 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.re x.im) x.im) (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.re x.re) (* x.im x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.re x.re) (* x.im x.im))) (* (- (pow x.re 4) (pow x.im 4)) x.im) (neg x.im) (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 4) (pow x.im 4)))
4.0ms
x.im
@inf
((+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.re) (* 3 x.im)) (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im 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.re x.im) x.im) (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.re x.re) (* x.im x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.re x.re) (* x.im x.im))) (* (- (pow x.re 4) (pow x.im 4)) x.im) (neg x.im) (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 4) (pow x.im 4)))
4.0ms
x.re
@-inf
((+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.re) (* 3 x.im)) (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im 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.re x.im) x.im) (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.re x.re) (* x.im x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.re x.re) (* x.im x.im))) (* (- (pow x.re 4) (pow x.im 4)) x.im) (neg x.im) (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 4) (pow x.im 4)))
4.0ms
x.im
@0
((+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 3 x.im))) (* x.re (* 3 x.im)) (* 3 x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* x.re x.re) (* 3 x.im)) (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im 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.re x.im) x.im) (+ (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.re x.re) (* x.im x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (* (- (pow x.re 4) (pow x.im 4)) x.im) (+ (* x.re x.re) (* x.im x.im))) (* (- (pow x.re 4) (pow x.im 4)) x.im) (neg x.im) (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (- (pow x.re 4) (pow x.im 4)))

simplify167.0ms (2.4%)

Memory
22.5MiB live, 216.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03261208
111131039
24014949
08311929
Stop Event
1×iter limit
1×node limit
Counts
90 → 90
Calls
Call 1
Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* -1 (pow x.im 5))
(+ (* -1 (pow x.im 5)) (* x.im (pow x.re 4)))
(* -1 (pow x.im 4))
(+ (* -1 (pow x.im 4)) (* x.im (* x.re (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* x.im (* x.re (+ (* -1 x.im) (* 2 x.im)))) (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (* x.re (+ (* -1 (* x.im x.re)) (* x.im (+ (* -1 x.im) (* 2 x.im))))))))
(* 2 (* x.im (pow x.re 2)))
(- (pow x.re 4) (pow x.im 4))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* x.im (pow x.re 4))
(* (pow x.re 4) (+ x.im (* -1 (/ (pow x.im 5) (pow x.re 4)))))
(* -1 (* x.im (pow x.re 3)))
(* (pow x.re 3) (+ (* -1 x.im) (/ (* x.im (+ (* -1 x.im) (* 2 x.im))) x.re)))
(* (pow x.re 3) (+ (* -1 x.im) (+ (/ (* x.im (+ (* -1 x.im) (* 2 x.im))) x.re) (/ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (pow x.re 2)))))
(* (pow x.re 3) (+ (* -1 x.im) (+ (* -1 (/ (pow x.im 4) (pow x.re 3))) (+ (/ (* x.im (+ (* -1 x.im) (* 2 x.im))) x.re) (/ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (pow x.re 2))))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* (pow x.re 3) (+ x.im (/ (* x.im (+ x.im (* -2 x.im))) x.re))))
(* -1 (* (pow x.re 3) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -2 x.im)))) (/ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) x.re)) x.re)))))
(* -1 (* (pow x.re 3) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -2 x.im)))) (* -1 (/ (+ (* -1 (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))) (/ (pow x.im 4) x.re)) x.re))) x.re)))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* 3 x.im)
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 4)) (pow x.re 4)))
(* -1 x.im)
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2))))))
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (+ (* 2 (pow x.re 2)) (* x.im (+ (* -1 x.re) (* 2 x.re))))))))
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (+ (* 2 (pow x.re 2)) (* x.im (+ (* -1 x.im) (+ (* -1 x.re) (* 2 x.re)))))))))
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 5) (- (/ (pow x.re 4) (pow x.im 4)) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (* 2 (/ x.re x.im))) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2)))))) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2))))))) 1))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 5) (+ 1 (* -1 (/ (pow x.re 4) (pow x.im 4))))))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (* -2 x.re)) x.im)) 1))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -2 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2))) x.im)))) x.im)) 1))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -2 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2)))) x.im)))) x.im)) 1))
Outputs
(* -1 (pow x.im 3))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)))
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* 2 (* x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.re) x.im)
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(*.f64 (-.f64 x.re x.im) x.im)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(* -1 (pow x.im 5))
(neg.f64 (pow.f64 x.im #s(literal 5 binary64)))
(+ (* -1 (pow x.im 5)) (* x.im (pow x.re 4)))
(fma.f64 x.im (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 5 binary64))))
(* -1 (pow x.im 4))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(+ (* -1 (pow x.im 4)) (* x.im (* x.re (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* x.im (* x.re (+ (* -1 x.im) (* 2 x.im)))) (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))))))
(fma.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) x.im) x.re (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (* x.re (+ (* -1 (* x.im x.re)) (* x.im (+ (* -1 x.im) (* 2 x.im))))))))
(fma.f64 (fma.f64 (*.f64 x.im (-.f64 x.im x.re)) x.re (pow.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.re) x.im) x.re)
(- (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 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (*.f64 x.im (fma.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal 3 binary64)) (*.f64 x.re x.re))
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(*.f64 (*.f64 x.im (fma.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* x.im x.re)
(*.f64 x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) x.re)
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* x.im (pow x.re 4))
(*.f64 x.im (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 4) (+ x.im (* -1 (/ (pow x.im 5) (pow x.re 4)))))
(*.f64 (-.f64 x.im (/.f64 (pow.f64 x.im #s(literal 5 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 4 binary64)))
(* -1 (* x.im (pow x.re 3)))
(*.f64 (neg.f64 (pow.f64 x.re #s(literal 3 binary64))) x.im)
(* (pow x.re 3) (+ (* -1 x.im) (/ (* x.im (+ (* -1 x.im) (* 2 x.im))) x.re)))
(*.f64 (-.f64 (/.f64 (*.f64 x.im x.im) x.re) x.im) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ (* -1 x.im) (+ (/ (* x.im (+ (* -1 x.im) (* 2 x.im))) x.re) (/ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 x.im x.re) (fma.f64 (/.f64 x.im x.re) x.im x.im) (neg.f64 x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ (* -1 x.im) (+ (* -1 (/ (pow x.im 4) (pow x.re 3))) (+ (/ (* x.im (+ (* -1 x.im) (* 2 x.im))) x.re) (/ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (pow x.re 2))))))
(*.f64 (fma.f64 (/.f64 x.im x.re) (fma.f64 (/.f64 x.im x.re) x.im x.im) (-.f64 (neg.f64 x.im) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 3 binary64))))) (pow.f64 x.re #s(literal 3 binary64)))
(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 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(*.f64 (*.f64 x.im (fma.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 (-.f64 x.im (/.f64 (*.f64 x.im x.im) x.re)) x.re)
(* -1 (* (pow x.re 3) (+ x.im (/ (* x.im (+ x.im (* -2 x.im))) x.re))))
(*.f64 (-.f64 (/.f64 (*.f64 x.im x.im) x.re) x.im) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -2 x.im)))) (/ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) x.re)) x.re)))))
(*.f64 (fma.f64 #s(literal -1 binary64) x.im (/.f64 (fma.f64 x.im x.im (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re)) x.re)) (pow.f64 x.re #s(literal 3 binary64)))
(* -1 (* (pow x.re 3) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -2 x.im)))) (* -1 (/ (+ (* -1 (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))) (/ (pow x.im 4) x.re)) x.re))) x.re)))))
(*.f64 (neg.f64 (-.f64 x.im (/.f64 (fma.f64 x.im x.im (/.f64 (fma.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) x.re) #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re)) x.re))) (pow.f64 x.re #s(literal 3 binary64)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))) x.im)
(* x.im (+ x.re (* -1 x.im)))
(*.f64 (-.f64 x.re x.im) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(* x.im (+ (* -1 (pow x.im 4)) (pow x.re 4)))
(fma.f64 x.im (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 5 binary64))))
(* -1 x.im)
(neg.f64 x.im)
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2))))))
(*.f64 (*.f64 (*.f64 x.re x.re) (-.f64 x.im x.re)) x.im)
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (+ (* 2 (pow x.re 2)) (* x.im (+ (* -1 x.re) (* 2 x.re))))))))
(*.f64 (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) x.im (neg.f64 (pow.f64 x.re #s(literal 3 binary64)))) x.im)
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (+ (* 2 (pow x.re 2)) (* x.im (+ (* -1 x.im) (+ (* -1 x.re) (* 2 x.re)))))))))
(*.f64 (fma.f64 (fma.f64 (-.f64 x.re x.im) x.im (*.f64 x.re x.re)) x.im (neg.f64 (pow.f64 x.re #s(literal 3 binary64)))) x.im)
(+ (* -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 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (*.f64 x.re (/.f64 x.re x.im)) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (*.f64 x.re (/.f64 x.re x.im)) (*.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (*.f64 x.re (/.f64 x.re x.im)) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (*.f64 x.re (/.f64 x.re x.im)) #s(literal -1 binary64)) (*.f64 x.im x.im))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (*.f64 x.re (/.f64 x.re x.im)) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 (*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im)
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 5) (- (/ (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 5 binary64)))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (* 2 (/ x.re x.im))) 1))
(*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2)))))) 1))
(*.f64 (fma.f64 (+.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (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))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2))))))) 1))
(*.f64 (-.f64 (-.f64 (/.f64 (fma.f64 x.re (/.f64 x.re x.im) 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)))
(* (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)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (*.f64 x.re (/.f64 x.re x.im)) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (*.f64 x.re (/.f64 x.re x.im)) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (*.f64 x.re (/.f64 x.re x.im)) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 5) (+ 1 (* -1 (/ (pow x.re 4) (pow x.im 4))))))
(*.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 5 binary64)))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (* -2 x.re)) x.im)) 1))
(*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -2 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2))) x.im)))) x.im)) 1))
(*.f64 (fma.f64 (+.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -2 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2)))) x.im)))) x.im)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x.re) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)) x.im) x.re) x.im)) (pow.f64 x.im #s(literal 4 binary64)))

rewrite193.0ms (2.7%)

Memory
1.4MiB live, 361.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054283
085280
1337210
22806210
08665195
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 869
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im))
(*.f64 x.re x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
(*.f64 #s(literal 3 binary64) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (-.f64 x.re x.im) x.im)
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im)
(neg.f64 x.im)
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(-.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.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64) (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)
(*.f64 x.im (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)))
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(+.f64 (*.f64 x.im (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (neg.f64 x.re) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64)))))
(+.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) x.im) (*.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (neg.f64 x.re)))
(*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)
(*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) x.re)) #s(literal 0 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re)) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 x.re #s(literal 0 binary64))) #s(literal 0 binary64))
(/.f64 (neg.f64 (*.f64 x.re (*.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 0 binary64) x.re) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(fma.f64 (*.f64 x.im x.re) x.re (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 x.re (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.im x.re)))
(+.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 x.im x.re) x.re))
(+.f64 (*.f64 x.re (*.f64 x.im x.re)) (*.f64 x.re (*.f64 x.im x.re)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (pow.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))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))
(pow.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.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 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))))) (neg.f64 (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 (*.f64 (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 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.im #s(literal 8 binary64)))) (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))))
(/.f64 (-.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 (+.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))) (pow.f64 x.im #s(literal 12 binary64)))) (*.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 (*.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 (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.re #s(literal 4 binary64)) (pow.f64 x.im #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 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.im 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.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.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 (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 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.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 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.im 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 (+.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 (exp.f64 (log.f64 (*.f64 (neg.f64 x.im) x.im))) (exp.f64 (log.f64 (*.f64 (neg.f64 x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (pow.f64 (*.f64 (neg.f64 x.im) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) x.im (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) x.re (pow.f64 x.im #s(literal 4 binary64)))
(fma.f64 (*.f64 x.im x.im) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (*.f64 x.im x.im) (*.f64 (neg.f64 x.im) x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (neg.f64 x.im) (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (pow.f64 x.im #s(literal 4 binary64)))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 x.im (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 x.re (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(-.f64 (/.f64 (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 (pow.f64 x.im #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 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 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))

eval71.0ms (1%)

Memory
-14.0MiB live, 177.0MiB allocated
Compiler

Compiled 25 551 to 2 178 computations (91.5% saved)

prune29.0ms (0.4%)

Memory
-4.3MiB live, 78.8MiB allocated
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New6675672
Fresh6511
Picked235
Done101
Total67613689
Accuracy
100.0%
Counts
689 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶32.0%
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
▶77.3%
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
▶16.7%
(+.f64 (*.f64 (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
40.9%
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))) x.re))
40.9%
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) #s(literal -1 binary64))) x.re))
71.1%
#s(approx (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im (fma.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re)))
58.2%
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
✓86.0%
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
▶58.2%
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
▶52.7%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
✓43.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
52.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
✓52.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
Compiler

Compiled 784 to 436 computations (44.4% saved)

simplify160.0ms (2.3%)

Memory
24.6MiB live, 248.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im)
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff256
(-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
cost-diff448
(+.f64 (*.f64 (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff0
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
cost-diff0
(*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im)
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff13696
(/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))
cost-diff0
(*.f64 x.re x.im)
cost-diff0
(*.f64 (*.f64 x.re x.im) x.re)
cost-diff0
(*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
cost-diff0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
cost-diff0
(*.f64 (neg.f64 x.im) x.im)
cost-diff0
#s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im))
cost-diff0
(*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
cost-diff0
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
cost-diff0
(*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))
cost-diff0
(-.f64 x.re x.im)
cost-diff0
(*.f64 (-.f64 x.re x.im) x.im)
cost-diff1408
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062520
099482
1191469
2442427
31858395
45643370
08332369
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re 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 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(*.f64 x.re (+.f64 x.im x.im))
(+.f64 x.im x.im)
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
#s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.im) x.re)
(*.f64 x.re x.im)
x.re
x.im
#s(literal 3 binary64)
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im)
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(neg.f64 x.im)
x.im
(*.f64 x.re x.re)
x.re
(fma.f64 x.im x.im (*.f64 x.re x.re))
(fma.f64 x.re x.re (*.f64 x.im x.im))
(*.f64 x.im x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(+.f64 (*.f64 (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im)
(/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
#s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64)))
(pow.f64 x.re #s(literal 4 binary64))
x.re
#s(literal 4 binary64)
(-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(*.f64 x.re x.re)
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Outputs
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(fma.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))
(*.f64 (*.f64 (-.f64 x.im x.re) x.im) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
x.re
x.im
(*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))
(*.f64 (-.f64 x.im x.re) (+.f64 x.im x.re))
(+.f64 x.re x.im)
(+.f64 x.im x.re)
(-.f64 x.im x.re)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x.im x.re) x.re))
(*.f64 x.re (+.f64 x.im x.im))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(+.f64 x.im x.im)
(*.f64 #s(literal 2 binary64) x.im)
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
#s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 x.im x.re) x.re) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.im) x.re)
(*.f64 (*.f64 x.im x.re) x.re)
(*.f64 x.re x.im)
(*.f64 x.im x.re)
x.re
x.im
#s(literal 3 binary64)
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im)
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im)
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re 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)))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(neg.f64 x.im)
x.im
(*.f64 x.re x.re)
x.re
(fma.f64 x.im x.im (*.f64 x.re x.re))
(fma.f64 x.re x.re (*.f64 x.im x.im))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.f64 x.im x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x.im x.re) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.im x.re)
(+.f64 (*.f64 (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 x.im (fma.f64 (*.f64 #s(literal 2 binary64) x.re) x.re (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(*.f64 (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im)
(*.f64 (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))) #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
(/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
#s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64)))
(pow.f64 x.re #s(literal 4 binary64))
x.re
#s(literal 4 binary64)
(-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.f64 x.re x.re)
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 x.im x.re) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.im x.re)

localize138.0ms (2%)

Memory
0.6MiB live, 241.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy4.570275344943704
(+.f64 (*.f64 (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy5.961716920638561
(*.f64 (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im)
accuracy28.20446046382698
#s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64)))
accuracy44.26286714537836
(/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
accuracy2.003884230844482
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
accuracy3.095332027854391
(*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im)
accuracy4.570275344943704
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy38.216389983908755
(/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))
accuracy0
(*.f64 x.re x.im)
accuracy0.14453125
(*.f64 (*.f64 x.re x.im) x.re)
accuracy0.18359375
(*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
accuracy30.208409885205555
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
accuracy0
(neg.f64 x.im)
accuracy0
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
accuracy5.956299212925619
(*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
accuracy28.567945165603852
#s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im))
accuracy0.140625
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy1.2858152713583884
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))
accuracy4.570275344943704
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
accuracy9.073481215228545
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
Samples
84.0ms256×0valid
Compiler

Compiled 1 003 to 111 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 32.0ms (52.9% of total)
ival-add: 11.0ms (18.2% of total)
ival-sub: 8.0ms (13.2% of total)
ival-div: 4.0ms (6.6% of total)
ival-pow: 3.0ms (5% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series54.0ms (0.8%)

Memory
0.7MiB live, 37.0MiB allocated
Counts
26 → 120
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
#s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (neg.f64 x.im) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.im) x.re)
(*.f64 x.re x.im)
(/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im)
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(+.f64 (*.f64 (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im)
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(neg.f64 x.im)
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
#s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64)))
Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(* -1 x.im)
(- x.re x.im)
(pow x.im 2)
(+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2))
(+ (* x.re (+ x.im (+ (* -1 x.im) (* -1 x.re)))) (pow x.im 2))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im x.re)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* 2 (* x.im x.re))
(* -1 (pow x.im 5))
(+ (* -1 (pow x.im 5)) (* x.im (* (pow x.re 2) (+ (* -1 (pow x.im 2)) (pow x.im 2)))))
(+ (* -1 (pow x.im 5)) (* (pow x.re 2) (+ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) (* x.im (pow x.re 2)))))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(- (pow x.re 2) (* -1 (pow x.im 2)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* -1 (pow x.im 4))
(+ (* -1 (pow x.im 4)) (* x.im (* x.re (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* x.im (* x.re (+ (* -1 x.im) (* 2 x.im)))) (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (* x.re (+ (* -1 (* x.im x.re)) (* x.im (+ (* -1 x.im) (* 2 x.im))))))))
(* 2 (* x.im (pow x.re 2)))
(- (pow x.re 4) (pow x.im 4))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
x.re
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* -1 (pow x.re 2))
(* (pow x.re 2) (- (+ (* -1 (/ x.im x.re)) (/ x.im x.re)) 1))
(* (pow x.re 2) (- (+ (* -1 (/ x.im x.re)) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))) 1))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* x.im (pow x.re 4))
(* (pow x.re 4) (+ x.im (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.re 2))))
(* (pow x.re 4) (+ x.im (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* -1 (* x.im (pow x.re 3)))
(* (pow x.re 3) (+ (* -1 x.im) (/ (* x.im (+ (* -1 x.im) (* 2 x.im))) x.re)))
(* (pow x.re 3) (+ (* -1 x.im) (+ (/ (* x.im (+ (* -1 x.im) (* 2 x.im))) x.re) (/ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (pow x.re 2)))))
(* (pow x.re 3) (+ (* -1 x.im) (+ (* -1 (/ (pow x.im 4) (pow x.re 3))) (+ (/ (* x.im (+ (* -1 x.im) (* 2 x.im))) x.re) (/ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (pow x.re 2))))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* (pow x.re 2) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))
(* (pow x.re 2) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* -1 (* (pow x.re 3) (+ x.im (/ (* x.im (+ x.im (* -2 x.im))) x.re))))
(* -1 (* (pow x.re 3) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -2 x.im)))) (/ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) x.re)) x.re)))))
(* -1 (* (pow x.re 3) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -2 x.im)))) (* -1 (/ (+ (* -1 (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))) (/ (pow x.im 4) x.re)) x.re))) x.re)))))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ x.re (* -1 x.im)))
(+ x.re (* -1 x.im))
(+ (* -1 (pow x.re 2)) (* x.im (+ x.re (* -1 x.re))))
(+ (* -1 (pow x.re 2)) (* x.im (+ x.im (+ x.re (* -1 x.re)))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* (pow x.im 2) (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 4)))
(* x.im (+ (* (pow x.im 2) (+ (* -1 (pow x.im 2)) (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (pow x.re 4)))
(+ (pow x.im 2) (pow x.re 2))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2))))))
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (+ (* 2 (pow x.re 2)) (* x.im (+ (* -1 x.re) (* 2 x.re))))))))
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (+ (* 2 (pow x.re 2)) (* x.im (+ (* -1 x.im) (+ (* -1 x.re) (* 2 x.re)))))))))
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* x.im (- (/ x.re x.im) 1))
(* (pow x.im 2) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))
(* (pow x.im 2) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im)))))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 5) (- (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 5) (- (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4)))) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (* 2 (/ x.re x.im))) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2)))))) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2))))))) 1))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* (pow x.im 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 5) (+ 1 (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) (pow x.im 2))))))
(* -1 (* (pow x.im 5) (+ 1 (+ (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) (pow x.im 2))) (* -1 (/ (pow x.re 4) (pow x.im 4)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (* -2 x.re)) x.im)) 1))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -2 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2))) x.im)))) x.im)) 1))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -2 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2)))) x.im)))) x.im)) 1))
Calls

6 calls:

TimeVariablePointExpression
33.0ms
x.im
@-inf
((/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (- x.re x.im) x.im) (- x.re x.im) (* (+ x.re x.im) (- x.im x.re)) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (/ (* (* (+ (* (neg x.im) x.im) (* x.re x.re)) (+ (* x.im x.im) (* x.re x.re))) x.im) (+ (* x.re x.re) (* x.im x.im))) (+ (* x.re x.im) (* x.im x.re)) (* (* (+ (* (neg x.im) x.im) (* x.re x.re)) (+ (* x.im x.im) (* x.re x.re))) x.im) (+ (* (neg x.im) x.im) (* x.re x.re)) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- 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.im x.re))) (* (* x.re (+ x.im x.im)) x.re) (neg x.im) (+ (/ (* (* (+ (* (neg x.im) x.im) (* x.re x.re)) (+ (* x.im x.im) (* x.re x.re))) x.im) (+ (* x.re x.re) (* x.im x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))
4.0ms
x.im
@inf
((/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (- x.re x.im) x.im) (- x.re x.im) (* (+ x.re x.im) (- x.im x.re)) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (/ (* (* (+ (* (neg x.im) x.im) (* x.re x.re)) (+ (* x.im x.im) (* x.re x.re))) x.im) (+ (* x.re x.re) (* x.im x.im))) (+ (* x.re x.im) (* x.im x.re)) (* (* (+ (* (neg x.im) x.im) (* x.re x.re)) (+ (* x.im x.im) (* x.re x.re))) x.im) (+ (* (neg x.im) x.im) (* x.re x.re)) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- 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.im x.re))) (* (* x.re (+ x.im x.im)) x.re) (neg x.im) (+ (/ (* (* (+ (* (neg x.im) x.im) (* x.re x.re)) (+ (* x.im x.im) (* x.re x.re))) x.im) (+ (* x.re x.re) (* x.im x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))
4.0ms
x.re
@inf
((/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (- x.re x.im) x.im) (- x.re x.im) (* (+ x.re x.im) (- x.im x.re)) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (/ (* (* (+ (* (neg x.im) x.im) (* x.re x.re)) (+ (* x.im x.im) (* x.re x.re))) x.im) (+ (* x.re x.re) (* x.im x.im))) (+ (* x.re x.im) (* x.im x.re)) (* (* (+ (* (neg x.im) x.im) (* x.re x.re)) (+ (* x.im x.im) (* x.re x.re))) x.im) (+ (* (neg x.im) x.im) (* x.re x.re)) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- 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.im x.re))) (* (* x.re (+ x.im x.im)) x.re) (neg x.im) (+ (/ (* (* (+ (* (neg x.im) x.im) (* x.re x.re)) (+ (* x.im x.im) (* x.re x.re))) x.im) (+ (* x.re x.re) (* x.im x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))
3.0ms
x.re
@-inf
((/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (- x.re x.im) x.im) (- x.re x.im) (* (+ x.re x.im) (- x.im x.re)) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (/ (* (* (+ (* (neg x.im) x.im) (* x.re x.re)) (+ (* x.im x.im) (* x.re x.re))) x.im) (+ (* x.re x.re) (* x.im x.im))) (+ (* x.re x.im) (* x.im x.re)) (* (* (+ (* (neg x.im) x.im) (* x.re x.re)) (+ (* x.im x.im) (* x.re x.re))) x.im) (+ (* (neg x.im) x.im) (* x.re x.re)) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- 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.im x.re))) (* (* x.re (+ x.im x.im)) x.re) (neg x.im) (+ (/ (* (* (+ (* (neg x.im) x.im) (* x.re x.re)) (+ (* x.im x.im) (* x.re x.re))) x.im) (+ (* x.re x.re) (* x.im x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))
3.0ms
x.im
@0
((/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (- x.re x.im) x.im) (- x.re x.im) (* (+ x.re x.im) (- x.im x.re)) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) x.im) (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (* (neg x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.im) x.re) 3) (* (* x.re x.im) x.re) (* x.re x.im) (/ (* (* (+ (* (neg x.im) x.im) (* x.re x.re)) (+ (* x.im x.im) (* x.re x.re))) x.im) (+ (* x.re x.re) (* x.im x.im))) (+ (* x.re x.im) (* x.im x.re)) (* (* (+ (* (neg x.im) x.im) (* x.re x.re)) (+ (* x.im x.im) (* x.re x.re))) x.im) (+ (* (neg x.im) x.im) (* x.re x.re)) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- 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.im x.re))) (* (* x.re (+ x.im x.im)) x.re) (neg x.im) (+ (/ (* (* (+ (* (neg x.im) x.im) (* x.re x.re)) (+ (* x.im x.im) (* x.re x.re))) x.im) (+ (* x.re x.re) (* x.im x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))

simplify135.0ms (1.9%)

Memory
1.2MiB live, 195.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04061511
114041239
250191185
082981158
Stop Event
1×iter limit
1×node limit
Counts
120 → 119
Calls
Call 1
Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(* -1 x.im)
(- x.re x.im)
(pow x.im 2)
(+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2))
(+ (* x.re (+ x.im (+ (* -1 x.im) (* -1 x.re)))) (pow x.im 2))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(* x.im x.re)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* 2 (* x.im x.re))
(* -1 (pow x.im 5))
(+ (* -1 (pow x.im 5)) (* x.im (* (pow x.re 2) (+ (* -1 (pow x.im 2)) (pow x.im 2)))))
(+ (* -1 (pow x.im 5)) (* (pow x.re 2) (+ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) (* x.im (pow x.re 2)))))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(- (pow x.re 2) (* -1 (pow x.im 2)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* -1 (pow x.im 4))
(+ (* -1 (pow x.im 4)) (* x.im (* x.re (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* x.im (* x.re (+ (* -1 x.im) (* 2 x.im)))) (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (* x.re (+ (* -1 (* x.im x.re)) (* x.im (+ (* -1 x.im) (* 2 x.im))))))))
(* 2 (* x.im (pow x.re 2)))
(- (pow x.re 4) (pow x.im 4))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
x.re
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* -1 (pow x.re 2))
(* (pow x.re 2) (- (+ (* -1 (/ x.im x.re)) (/ x.im x.re)) 1))
(* (pow x.re 2) (- (+ (* -1 (/ x.im x.re)) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))) 1))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 3 (pow x.re 2))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* x.im (pow x.re 4))
(* (pow x.re 4) (+ x.im (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.re 2))))
(* (pow x.re 4) (+ x.im (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* -1 (* x.im (pow x.re 3)))
(* (pow x.re 3) (+ (* -1 x.im) (/ (* x.im (+ (* -1 x.im) (* 2 x.im))) x.re)))
(* (pow x.re 3) (+ (* -1 x.im) (+ (/ (* x.im (+ (* -1 x.im) (* 2 x.im))) x.re) (/ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (pow x.re 2)))))
(* (pow x.re 3) (+ (* -1 x.im) (+ (* -1 (/ (pow x.im 4) (pow x.re 3))) (+ (/ (* x.im (+ (* -1 x.im) (* 2 x.im))) x.re) (/ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (pow x.re 2))))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* (pow x.re 2) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))
(* (pow x.re 2) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* -1 (* (pow x.re 3) (+ x.im (/ (* x.im (+ x.im (* -2 x.im))) x.re))))
(* -1 (* (pow x.re 3) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -2 x.im)))) (/ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) x.re)) x.re)))))
(* -1 (* (pow x.re 3) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -2 x.im)))) (* -1 (/ (+ (* -1 (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))) (/ (pow x.im 4) x.re)) x.re))) x.re)))))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ x.re (* -1 x.im)))
(+ x.re (* -1 x.im))
(+ (* -1 (pow x.re 2)) (* x.im (+ x.re (* -1 x.re))))
(+ (* -1 (pow x.re 2)) (* x.im (+ x.im (+ x.re (* -1 x.re)))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* (pow x.im 2) (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 4)))
(* x.im (+ (* (pow x.im 2) (+ (* -1 (pow x.im 2)) (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (pow x.re 4)))
(+ (pow x.im 2) (pow x.re 2))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2))))))
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (+ (* 2 (pow x.re 2)) (* x.im (+ (* -1 x.re) (* 2 x.re))))))))
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (+ (* 2 (pow x.re 2)) (* x.im (+ (* -1 x.im) (+ (* -1 x.re) (* 2 x.re)))))))))
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* x.im (- (/ x.re x.im) 1))
(* (pow x.im 2) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))
(* (pow x.im 2) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im)))))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 5) (- (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 5) (- (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4)))) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (* 2 (/ x.re x.im))) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2)))))) 1))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* -1 (/ (pow x.re 3) (pow x.im 3))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2))))))) 1))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* (pow x.im 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 5) (+ 1 (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) (pow x.im 2))))))
(* -1 (* (pow x.im 5) (+ 1 (+ (* -1 (/ (+ (* -1 (pow x.re 2)) (pow x.re 2)) (pow x.im 2))) (* -1 (/ (pow x.re 4) (pow x.im 4)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (* -2 x.re)) x.im)) 1))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -2 x.re) (* -1 (/ (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2))) x.im)))) x.im)) 1))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (+ (* -2 x.re) (* -1 (/ (+ (* -1 (/ (pow x.re 3) x.im)) (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2)))) x.im)))) x.im)) 1))
Outputs
(* -1 (pow x.im 3))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(*.f64 (-.f64 x.re x.im) x.im)
(* -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)
(+ (* x.re (+ x.im (* -1 x.im))) (pow x.im 2))
(*.f64 x.im x.im)
(+ (* x.re (+ x.im (+ (* -1 x.im) (* -1 x.re)))) (pow x.im 2))
(fma.f64 (neg.f64 x.re) x.re (*.f64 x.im x.im))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2)))
(fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im x.re)
(*.f64 x.im x.re)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(* 2 (* x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.re) x.im)
(* -1 (pow x.im 5))
(neg.f64 (pow.f64 x.im #s(literal 5 binary64)))
(+ (* -1 (pow x.im 5)) (* x.im (* (pow x.re 2) (+ (* -1 (pow x.im 2)) (pow x.im 2)))))
(neg.f64 (pow.f64 x.im #s(literal 5 binary64)))
(+ (* -1 (pow x.im 5)) (* (pow x.re 2) (+ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) (* x.im (pow x.re 2)))))
(fma.f64 (pow.f64 x.re #s(literal 4 binary64)) x.im (neg.f64 (pow.f64 x.im #s(literal 5 binary64))))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(- (pow x.re 2) (* -1 (pow x.im 2)))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* -1 (pow x.im 4))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(+ (* -1 (pow x.im 4)) (* x.im (* x.re (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2))))))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* x.im (* x.re (+ (* -1 x.im) (* 2 x.im)))) (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))))))
(fma.f64 (*.f64 (*.f64 x.im (+.f64 x.im x.re)) x.im) x.re (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))
(+ (* -1 (pow x.im 4)) (* x.re (+ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (* x.re (+ (* -1 (* x.im x.re)) (* x.im (+ (* -1 x.im) (* 2 x.im))))))))
(fma.f64 (fma.f64 (*.f64 x.im (-.f64 x.im x.re)) x.re (pow.f64 x.im #s(literal 3 binary64))) x.re (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.re) x.im) x.re)
(- (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 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) x.im x.im) x.re)
x.re
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) x.re x.re)
(* -1 (pow x.re 2))
(*.f64 (neg.f64 x.re) x.re)
(* (pow x.re 2) (- (+ (* -1 (/ x.im x.re)) (/ x.im x.re)) 1))
(*.f64 (neg.f64 x.re) x.re)
(* (pow x.re 2) (- (+ (* -1 (/ x.im x.re)) (+ (/ x.im x.re) (/ (pow x.im 2) (pow x.re 2)))) 1))
(*.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 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (fma.f64 #s(literal 3 binary64) x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) (neg.f64 x.re))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (fma.f64 #s(literal 3 binary64) x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) (neg.f64 x.re))) (*.f64 x.re x.re))
(* 3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 3 binary64)) x.re) x.re)
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* x.im (pow x.re 4))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) x.im)
(* (pow x.re 4) (+ x.im (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.re 2))))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) x.im)
(* (pow x.re 4) (+ x.im (+ (* -1 (/ (pow x.im 5) (pow x.re 4))) (/ (* x.im (+ (* -1 (pow x.im 2)) (pow x.im 2))) (pow x.re 2)))))
(*.f64 (-.f64 x.im (/.f64 (pow.f64 x.im #s(literal 5 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 4 binary64)))
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(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) 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 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
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(*.f64 (fma.f64 #s(literal 3 binary64) x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) (neg.f64 x.re))) (*.f64 x.re x.re))
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(*.f64 (fma.f64 (/.f64 x.im x.re) x.im (neg.f64 x.im)) (pow.f64 x.re #s(literal 3 binary64)))
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(*.f64 (fma.f64 (/.f64 x.im x.re) (fma.f64 (/.f64 x.im x.re) x.im x.im) (neg.f64 x.im)) (pow.f64 x.re #s(literal 3 binary64)))
(* (pow x.re 3) (+ (* -1 x.im) (+ (* -1 (/ (pow x.im 4) (pow x.re 3))) (+ (/ (* x.im (+ (* -1 x.im) (* 2 x.im))) x.re) (/ (* x.im (+ (* -1 (pow x.im 2)) (* 2 (pow x.im 2)))) (pow x.re 2))))))
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(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
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(* -1 (* x.re (- (/ x.im x.re) 1)))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) x.re x.re)
(* (pow x.re 2) (- (* -1 (/ (+ x.im (* -1 x.im)) x.re)) 1))
(*.f64 (neg.f64 x.re) x.re)
(* (pow x.re 2) (- (* -1 (/ (+ x.im (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))) x.re)) 1))
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(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
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(*.f64 (-.f64 x.re x.im) x.im)
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(+ (* -1 (pow x.re 2)) (* x.im (+ x.re (* -1 x.re))))
(*.f64 (neg.f64 x.re) x.re)
(+ (* -1 (pow x.re 2)) (* x.im (+ x.im (+ x.re (* -1 x.re)))))
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(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
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(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(* x.im (+ (* (pow x.im 2) (+ (* -1 (pow x.re 2)) (pow x.re 2))) (pow x.re 4)))
(*.f64 (pow.f64 x.re #s(literal 4 binary64)) x.im)
(* x.im (+ (* (pow x.im 2) (+ (* -1 (pow x.im 2)) (+ (* -1 (pow x.re 2)) (pow x.re 2)))) (pow x.re 4)))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im)
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(fma.f64 x.im x.im (*.f64 x.re x.re))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (* 2 (pow x.re 2))))))
(*.f64 (*.f64 (*.f64 x.re x.re) (-.f64 x.im x.re)) x.im)
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (+ (* 2 (pow x.re 2)) (* x.im (+ (* -1 x.re) (* 2 x.re))))))))
(*.f64 (fma.f64 (*.f64 x.re (+.f64 x.im x.re)) x.im (neg.f64 (pow.f64 x.re #s(literal 3 binary64)))) x.im)
(* x.im (+ (* -1 (pow x.re 3)) (* x.im (+ (* -1 (pow x.re 2)) (+ (* 2 (pow x.re 2)) (* x.im (+ (* -1 x.im) (+ (* -1 x.re) (* 2 x.re)))))))))
(*.f64 (fma.f64 (fma.f64 (-.f64 x.re x.im) x.im (*.f64 x.re x.re)) x.im (neg.f64 (pow.f64 x.re #s(literal 3 binary64)))) x.im)
(+ (* -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 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 (*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im)
(* x.im (- (/ x.re x.im) 1))
(*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im)
(* (pow x.im 2) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))))
(*.f64 x.im x.im)
(* (pow x.im 2) (+ 1 (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (/ x.re x.im)))))
(*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 x.re) x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im)
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (*.f64 x.re (/.f64 x.re x.im)) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (*.f64 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))) #s(literal 1 binary64))) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (*.f64 x.re (/.f64 x.re x.im)) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
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(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
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(neg.f64 (pow.f64 x.im #s(literal 5 binary64)))
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(*.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 5 binary64)))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im)
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (*.f64 x.re (/.f64 x.re x.im)) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (* 2 (/ x.re x.im))) 1))
(*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 4) (- (+ (* -1 (/ x.re x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2)))))) 1))
(*.f64 (-.f64 (-.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (*.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (/.f64 x.re x.im)) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (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))) (+ (* 2 (/ x.re x.im)) (* 2 (/ (pow x.re 2) (pow x.im 2))))))) 1))
(*.f64 (-.f64 (-.f64 (-.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (*.f64 (/.f64 x.re x.im) #s(literal 2 binary64))) (pow.f64 (/.f64 x.re x.im) #s(literal 3 binary64))) (/.f64 x.re x.im)) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (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)))
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(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
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(*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im)
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(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (neg.f64 (pow.f64 x.im #s(literal 5 binary64))))
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(*.f64 (fma.f64 (/.f64 #s(literal 3 binary64) x.im) (*.f64 x.re (/.f64 x.re x.im)) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 4) (- (* -1 (/ (+ x.re (* -2 x.re)) x.im)) 1))
(*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
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(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x.re) x.re (/.f64 (pow.f64 x.re #s(literal 3 binary64)) x.im)) x.im) x.re) x.im)) (pow.f64 x.im #s(literal 4 binary64)))

rewrite222.0ms (3.1%)

Memory
-21.6MiB live, 245.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062412
099363
1405275
23558275
08373263
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 1 077
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re))
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
(*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
#s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (neg.f64 x.im) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.im) x.re)
(*.f64 x.re x.im)
(/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im)))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im)
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(+.f64 (*.f64 (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im)
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)))
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(neg.f64 x.im)
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
#s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64)))
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (-.f64 x.im x.re)) (*.f64 (-.f64 x.im x.re) (+.f64 x.im x.re))) (+.f64 x.im x.re))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (-.f64 x.im x.re)) (-.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.im (+.f64 x.im x.re) (*.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.im) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (-.f64 x.im x.re) (+.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.im) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))
(*.f64 (/.f64 x.im (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 (-.f64 x.im x.re) (+.f64 x.im x.re)) (/.f64 (*.f64 (-.f64 x.re x.im) x.im) (-.f64 x.im x.re)))
(*.f64 (*.f64 (-.f64 x.im x.re) (+.f64 x.im x.re)) (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (*.f64 (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal -1 binary64)) x.im))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))))
(*.f64 (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im))
(*.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (-.f64 x.im x.re)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (-.f64 x.im x.re)))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(*.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (neg.f64 x.im)) (pow.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64)))) (-.f64 x.im x.re)) (pow.f64 (neg.f64 (-.f64 x.im x.re)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(*.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (/.f64 (-.f64 x.im x.re) (-.f64 x.im x.re)))
(*.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (-.f64 x.im x.re) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.im) (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(*.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (-.f64 x.im x.re)) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re))
(*.f64 (-.f64 x.re x.im) (/.f64 (*.f64 (*.f64 (-.f64 x.im x.re) (+.f64 x.im x.re)) x.im) (-.f64 x.im x.re)))
(*.f64 (-.f64 x.re x.im) (*.f64 (*.f64 (*.f64 (-.f64 x.im x.re) (+.f64 x.im x.re)) x.im) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))
(*.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)))
(*.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im)) (neg.f64 (fma.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) x.im (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im)) (neg.f64 (fma.f64 (*.f64 x.re x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 x.im #s(literal 1 binary64))) (neg.f64 (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))) (neg.f64 (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) (neg.f64 (-.f64 x.re x.im)))
(/.f64 (neg.f64 (*.f64 x.im (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(/.f64 (neg.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (fma.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) x.im (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (fma.f64 (*.f64 x.re x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64)))) (-.f64 x.im x.re)))) (neg.f64 (neg.f64 (neg.f64 (-.f64 x.im x.re)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (neg.f64 x.im)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (-.f64 x.im x.re)) #s(literal 1 binary64))) (neg.f64 (-.f64 x.im x.re)))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) #s(literal 1 binary64))) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) x.im)) (neg.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) x.im) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) x.im (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 (*.f64 x.re x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.im #s(literal 4 binary64))))
(/.f64 (*.f64 x.im #s(literal 1 binary64)) (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.im (-.f64 x.im x.re) (*.f64 x.re x.re)))
(/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (-.f64 x.re x.im))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) x.im (pow.f64 x.re #s(literal 4 binary64))))
(/.f64 (*.f64 x.im (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 (*.f64 x.re x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.im #s(literal 4 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64)))) (-.f64 x.im x.re))) (neg.f64 (neg.f64 (-.f64 x.im x.re))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (neg.f64 x.im))) (neg.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (-.f64 x.im x.re)) #s(literal 1 binary64)) (-.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.im) #s(literal 1 binary64)) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (neg.f64 x.im)) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64)))) (-.f64 x.im x.re)) (neg.f64 (-.f64 x.im x.re)))
(/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(/.f64 (neg.f64 x.im) (neg.f64 (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (-.f64 x.im x.re)) (-.f64 x.im x.re))
(/.f64 x.im (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal -1 binary64)))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (-.f64 x.im x.re)) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64)))))
(neg.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re))) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64)))))
(neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (-.f64 x.im x.re)) (neg.f64 (-.f64 x.im x.re))))
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(fma.f64 (pow.f64 (*.f64 (neg.f64 x.im) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)) (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (neg.f64 x.im) x.im) #s(literal 3/2 binary64)) (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64)) (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 (*.f64 (*.f64 (neg.f64 x.im) x.im) #s(literal -1 binary64)) x.im (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)) (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 (*.f64 x.im x.im) (neg.f64 x.im) (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 (*.f64 x.im x.im) x.im (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (*.f64 x.im x.re) x.re (pow.f64 x.im #s(literal 3 binary64)))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) (neg.f64 x.im) (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 x.im x.re) x.re))
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(fma.f64 (*.f64 #s(literal 2 binary64) x.im) (pow.f64 x.re #s(literal 3 binary64)) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 x.re x.re) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) x.im) x.re (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re)))) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (/.f64 (-.f64 x.im x.re) (-.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (-.f64 x.im x.re) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (/.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (*.f64 (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) x.im) (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re)))) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (-.f64 x.im x.re)) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (-.f64 x.re x.im) (/.f64 (*.f64 (*.f64 (-.f64 x.im x.re) (+.f64 x.im x.re)) x.im) (-.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (-.f64 x.re x.im) (*.f64 (*.f64 (*.f64 (-.f64 x.im x.re) (+.f64 x.im x.re)) x.im) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 x.im (+.f64 x.re x.re) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 x.im #s(literal 2 binary64) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 x.im (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 x.re (*.f64 #s(literal 2 binary64) x.im) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im))) (/.f64 (*.f64 (*.f64 x.im x.im) #s(literal 4 binary64)) (-.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im))))
(+.f64 (*.f64 #s(literal 2 binary64) x.im) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im))
(*.f64 (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (-.f64 x.im x.re) (+.f64 x.im x.re)))
(*.f64 (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (+.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))) (pow.f64 x.re #s(literal 4 binary64))))
(*.f64 (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))
(*.f64 (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal -1 binary64)) #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(*.f64 (neg.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))) #s(literal -1 binary64)))
(*.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))))))
(/.f64 (*.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (neg.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64)))) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re))))
(/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64)))) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(neg.f64 (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))) (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (neg.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))))) #s(literal -1 binary64)))
#s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64)))

eval133.0ms (1.9%)

Memory
19.2MiB live, 167.1MiB allocated
Compiler

Compiled 38 609 to 3 672 computations (90.5% saved)

prune34.0ms (0.5%)

Memory
11.7MiB live, 87.7MiB allocated
Pruning

13 alts after pruning (8 fresh and 5 done)

PrunedKeptTotal
New9934997
Fresh145
Picked325
Done033
Total997131 010
Accuracy
100.0%
Counts
1 010 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
15.3%
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re)))))
25.4%
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 x.im x.im) x.re))
57.9%
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(approx (* (+ x.re x.im) (- x.im x.re)) (*.f64 x.im x.im))) (-.f64 x.im x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
40.9%
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))) x.re))
40.9%
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) #s(literal -1 binary64))) x.re))
71.1%
#s(approx (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im (fma.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re)))
58.2%
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
✓86.0%
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
✓58.2%
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
✓52.7%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
✓43.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
52.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re))
✓52.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
Compiler

Compiled 1 497 to 433 computations (71.1% saved)

regimes37.0ms (0.5%)

Memory
-20.1MiB live, 66.4MiB allocated
Counts
37 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(fma.f64 x.im #s(literal 2 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (+ (/ (* (* (- x.re x.im) x.im) (* (+ x.re x.im) (- x.im x.re))) (- x.im x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im (fma.f64 (/.f64 x.im x.re) (/.f64 (neg.f64 x.im) x.re) #s(literal 3 binary64))) (*.f64 x.re x.re)))
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) #s(approx (* (+ x.re x.im) (- x.im x.re)) (*.f64 x.im x.im))) (-.f64 x.im x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (/.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (-.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 x.im x.im) x.re))
(+.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re))) x.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re)))))
(+.f64 (*.f64 (/.f64 #s(approx (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im 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.im) (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 (*.f64 #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))))) x.re))
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))) x.re))
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) #s(literal -1 binary64))) x.re))
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Outputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
Calls

3 calls:

13.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
12.0ms
x.re
11.0ms
x.im
Results
AccuracySegmentsBranch
96.7%2x.re
99.8%2x.im
99.8%2(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes11.0ms (0.2%)

Memory
19.9MiB live, 19.9MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(fma.f64 x.im #s(literal 2 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
Outputs
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
Calls

2 calls:

5.0ms
x.im
5.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
99.1%3x.im
99.8%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes5.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(fma.f64 x.im #s(literal 2 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
Calls

1 calls:

4.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
99.8%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes5.0ms (0.1%)

Memory
-32.8MiB live, 5.8MiB allocated
Counts
11 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(fma.f64 x.im #s(literal 2 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
Outputs
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
Calls

1 calls:

4.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
99.3%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes11.0ms (0.2%)

Memory
19.5MiB live, 19.5MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(fma.f64 x.im #s(literal 2 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)))
Outputs
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
Calls

3 calls:

4.0ms
x.im
4.0ms
x.re
3.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
87.3%2x.re
81.2%2x.im
97.7%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes3.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
Outputs
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
Calls

1 calls:

3.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
97.6%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes2.0ms (0%)

Memory
3.1MiB live, 3.1MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
Outputs
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
Calls

1 calls:

2.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
97.6%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes2.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
Outputs
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
Calls

1 calls:

1.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
97.6%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes5.0ms (0.1%)

Memory
-28.7MiB live, 10.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

2.0ms
x.re
1.0ms
x.im
1.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
58.2%1x.im
58.2%1x.re
58.2%1(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.3216315554786852e+205
4.8426094572329566e+227
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.3216315554786852e+205
4.8426094572329566e+227
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-7.2194e-319
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-7.2194e-319
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-7.2194e-319
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-7.2194e-319
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-7.2194e-319
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify31.0ms (0.4%)

Memory
-5.7MiB live, 42.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0871154
11211154
21271154
31301154
41311154
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im)))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 20000000000000000332320709457100266805720535239871327970256129990546078137252710026514902573853139251497244082176191898637596077985558673396359852997433671054025460248400909387429436243536565212333765296128 binary64)) (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 20000000000000000332320709457100266805720535239871327970256129990546078137252710026514902573853139251497244082176191898637596077985558673396359852997433671054025460248400909387429436243536565212333765296128 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))
Outputs
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im)))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re)) (fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im)))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 20000000000000000332320709457100266805720535239871327970256129990546078137252710026514902573853139251497244082176191898637596077985558673396359852997433671054025460248400909387429436243536565212333765296128 binary64)) (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal 20000000000000000332320709457100266805720535239871327970256129990546078137252710026514902573853139251497244082176191898637596077985558673396359852997433671054025460248400909387429436243536565212333765296128 binary64)) (+.f64 (*.f64 (*.f64 (+.f64 x.im x.im) x.re) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) (fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 20000000000000000332320709457100266805720535239871327970256129990546078137252710026514902573853139251497244082176191898637596077985558673396359852997433671054025460248400909387429436243536565212333765296128 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal 20000000000000000332320709457100266805720535239871327970256129990546078137252710026514902573853139251497244082176191898637596077985558673396359852997433671054025460248400909387429436243536565212333765296128 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) (fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) (fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) (fma.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64))) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.im x.re) x.re))) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re))) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -101201/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) #s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))))
#s(approx (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #s(approx (+ (* (* x.re x.re) 3) (* (neg x.im) x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im))

soundness1.2s (17.1%)

Memory
15.5MiB live, 442.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0183778
1629633
22020560
08326541
03261208
111131039
24014949
08311929
01154
02054
17942
053641
057180
1182170
2586170
32560170
46935170
08454170
044270
072205
1280176
21741176
08890161
Stop Event
1×fuel
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×unsound
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1 903 to 453 computations (76.2% saved)

preprocess201.0ms (2.8%)

Memory
-2.9MiB live, 111.8MiB allocated
Remove

(abs x.re)

Compiler

Compiled 2 980 to 450 computations (84.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...