math.cube on complex, imaginary part

Time bar (total: 7.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 21 to 13 computations (38.1% saved)

sample1.4s (18.3%)

Memory
-10.3MiB live, 696.1MiB allocated
Samples
973.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 578.0ms
ival-mult: 423.0ms (73.2% of total)
ival-add: 113.0ms (19.5% of total)
ival-sub: 34.0ms (5.9% of total)
ival-true: 5.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain323.0ms (4.2%)

Memory
-9.2MiB live, 250.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
230-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
200-0-(+.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))
160-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im 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 x.re x.re) (*.f64 x.im x.im))nan-rescue230
(*.f64 x.re x.re)overflow71
(*.f64 x.im x.im)overflow69
+.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-rescue200
(*.f64 x.re x.re)overflow71
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow117
(*.f64 x.im x.im)overflow69
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)overflow116
(*.f64 x.im x.re)overflow34
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)overflow68
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))overflow35
(*.f64 x.re x.im)overflow34
*.f64(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)n*o160
Confusion
Predicted +Predicted -
+480
-0208
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4800
-00208
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0208
137
211
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
63.0ms512×0valid
Compiler

Compiled 283 to 59 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-mult: 39.0ms (84.4% of total)
ival-add: 4.0ms (8.7% of total)
ival-sub: 2.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess279.0ms (3.6%)

Memory
33.8MiB live, 263.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

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

(abs x.re)

(negabs x.im)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.4%
(+.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)

simplify187.0ms (2.4%)

Memory
-27.2MiB live, 168.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 3 (0.0ms)

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

localize50.0ms (0.6%)

Memory
-6.9MiB live, 80.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.15625
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy3.837788195260278
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy5.081989966604116
(+.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))
accuracy5.140602294132265
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
Samples
41.0ms256×0valid
Compiler

Compiled 132 to 24 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 28.0ms (90% of total)
ival-add: 2.0ms (6.4% of total)
ival-sub: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
25.7MiB live, 25.7MiB 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))

simplify155.0ms (2%)

Memory
-25.3MiB live, 170.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

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

rewrite59.0ms (0.8%)

Memory
29.9MiB live, 69.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval16.0ms (0.2%)

Memory
-17.5MiB live, 26.0MiB allocated
Compiler

Compiled 2 335 to 321 computations (86.3% saved)

prune7.0ms (0.1%)

Memory
17.4MiB live, 17.4MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New82991
Fresh000
Picked101
Done000
Total83992
Accuracy
95.6%
Counts
92 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.7%
(+.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))
31.0%
(+.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))
35.3%
(+.f64 (*.f64 (/.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))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
81.4%
(+.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))
91.9%
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
65.8%
(+.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))
65.9%
(+.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))
89.7%
#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))
46.3%
#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 458 to 270 computations (41% saved)

simplify162.0ms (2.1%)

Memory
-9.2MiB live, 186.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.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))))) x.im)
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff448
(+.f64 (*.f64 (/.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))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff704
(/.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)))))
cost-diff0
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
cost-diff0
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
cost-diff128
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff0
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
cost-diff0
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff448
(+.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))
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
044382
070382
1115352
2199350
3559334
41480334
52665334
64871334
77373334
08146331
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.im x.re)
x.im
x.re
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
x.re
x.im
#s(literal 3 binary64)
(+.f64 (*.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 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
#s(approx (- (* x.re x.re) (* 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 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
x.re
(*.f64 x.im x.re)
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
x.re
(*.f64 x.im x.re)
(+.f64 (*.f64 (/.f64 #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))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (/.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))))) 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)))))
#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))))
(fma.f64 x.im x.im (*.f64 x.re x.re))
x.im
(*.f64 x.re x.re)
x.re
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(pow.f64 x.re #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 x.im #s(literal 4 binary64))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Outputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (fma.f64 (*.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 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 #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 (*.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 (fma.f64 #s(literal 2 binary64) (*.f64 x.re x.re) #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))) x.im)
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
#s(approx (- (* x.re x.re) (* 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 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re x.im)
x.re
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) x.im #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(pow.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re x.im)
x.re
(*.f64 x.im x.re)
(*.f64 x.re x.im)
(+.f64 (*.f64 (/.f64 #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))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x.re x.re) (/.f64 (-.f64 (pow.f64 x.re #s(literal 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 #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))))) 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 #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 (-.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)))
#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 (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))))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(fma.f64 x.re x.re (*.f64 x.im x.im))
x.im
(*.f64 x.re x.re)
x.re
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(pow.f64 x.re #s(literal 4 binary64))
#s(literal 4 binary64)
(pow.f64 x.im #s(literal 4 binary64))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.im)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)

localize138.0ms (1.8%)

Memory
17.9MiB live, 177.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy3.837788195260278
(*.f64 (/.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))))) x.im)
accuracy5.081989966604116
(+.f64 (*.f64 (/.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))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy8.031223165792676
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
accuracy46.375560031450554
(/.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))))
accuracy0
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
accuracy0.15625
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy5.081989966604116
(+.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))
accuracy25.97831681706419
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
accuracy0.15625
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy3.837788195260278
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
accuracy5.081989966604116
(+.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))
accuracy28.10996299853513
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
accuracy0
(*.f64 x.re x.re)
accuracy0.19140625
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
accuracy7.2104528589303865
(*.f64 (*.f64 x.re x.re) x.im)
accuracy30.570041984496672
#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) x.im)
accuracy0.125
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
accuracy0.15625
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy5.081989966604116
(+.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
92.0ms256×0valid
Compiler

Compiled 738 to 79 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-sub: 33.0ms (46.4% of total)
ival-mult: 19.0ms (26.7% of total)
ival-add: 7.0ms (9.8% of total)
ival-pow: 7.0ms (9.8% of total)
ival-div: 3.0ms (4.2% of total)
ival-neg: 2.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory
-13.9MiB live, 61.6MiB allocated
Counts
21 → 77
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 (*.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 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(/.f64 #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 (*.f64 (/.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))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (/.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))))) x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (-.f64 x.re x.im) x.im)
(/.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 (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)) (* 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 2)) (pow x.re 2))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(* 2 (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(/ -1 (pow x.im 2))
(- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(* -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)))))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(/ 1 (pow x.re 2))
(/ (+ 1 (/ (pow x.im 2) (pow x.re 2))) (pow x.re 2))
(/ (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))) (pow x.re 2))
(/ (- (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 6) (pow x.re 6)))) (* -1 (/ (pow x.im 4) (pow x.re 4)))) (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)))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* 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)))
(* x.im (+ x.re (* -1 x.im)))
(+ (/ 1 (pow x.re 2)) (/ (pow x.im 2) (pow x.re 4)))
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 4)) (/ (pow x.im 2) (pow x.re 6)))) (/ 1 (pow x.re 2)))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 6)) (/ (pow x.im 2) (pow x.re 8)))) (/ 1 (pow x.re 4)))) (/ 1 (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) (- (/ x.re x.im) 1))
(/ (- (* -1 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/ (- (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 4) (pow x.im 4)))) 1) (pow x.im 2))
(/ (- (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ 1 (/ (pow x.re 4) (pow x.im 4)))) (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
9.0ms
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.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg (pow x.im 3)) (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) (+ (* (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4))) (- (pow x.re 4) (pow x.im 4)))
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.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg (pow x.im 3)) (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) (+ (* (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4))) (- (pow x.re 4) (pow x.im 4)))
4.0ms
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.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg (pow x.im 3)) (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) (+ (* (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4))) (- (pow x.re 4) (pow x.im 4)))
4.0ms
x.re
@inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (- (* x.re x.re) (* x.im x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg (pow x.im 3)) (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) (+ (* (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4))) (- (pow x.re 4) (pow x.im 4)))
3.0ms
x.im
@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.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg (pow x.im 3)) (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) (+ (* (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (/ 1 (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4)))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (/ (+ (* x.im x.im) (* x.re x.re)) (- (pow x.re 4) (pow x.im 4))) (- (pow x.re 4) (pow x.im 4)))

simplify171.0ms (2.2%)

Memory
4.6MiB live, 248.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02501039
1792897
22533828
08221801
Stop Event
iter limit
node limit
Counts
77 → 75
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 2)) (pow x.re 2))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(* 2 (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(/ -1 (pow x.im 2))
(- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(* -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)))))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(/ 1 (pow x.re 2))
(/ (+ 1 (/ (pow x.im 2) (pow x.re 2))) (pow x.re 2))
(/ (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))) (pow x.re 2))
(/ (- (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 6) (pow x.re 6)))) (* -1 (/ (pow x.im 4) (pow x.re 4)))) (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)))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* 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)))
(* x.im (+ x.re (* -1 x.im)))
(+ (/ 1 (pow x.re 2)) (/ (pow x.im 2) (pow x.re 4)))
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 4)) (/ (pow x.im 2) (pow x.re 6)))) (/ 1 (pow x.re 2)))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 6)) (/ (pow x.im 2) (pow x.re 8)))) (/ 1 (pow x.re 4)))) (/ 1 (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) (- (/ x.re x.im) 1))
(/ (- (* -1 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/ (- (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 4) (pow x.im 4)))) 1) (pow x.im 2))
(/ (- (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ 1 (/ (pow x.re 4) (pow x.im 4)))) (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 2)) (pow x.re 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)
(* 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)) (* x.im x.re))
(*.f64 (-.f64 x.re x.im) x.im)
(/ -1 (pow x.im 2))
(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
(- (* -1 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(/.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.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 6))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(fma.f64 (fma.f64 (neg.f64 x.re) (/.f64 x.re (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 x.re x.re) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -1 (/ (pow x.re 2) (pow x.im 8))) (/ 1 (pow x.im 6)))) (/ 1 (pow x.im 4)))) (/ 1 (pow x.im 2)))
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x.re) (/.f64 x.re (pow.f64 x.im #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 x.re x.re) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 x.re x.re) (/.f64 #s(literal -1 binary64) (*.f64 x.im x.im)))
(* -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))
(* x.im x.re)
(*.f64 x.re x.im)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(/ 1 (pow x.re 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))
(/ (+ 1 (/ (pow x.im 2) (pow x.re 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)
(/ (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 4) (pow x.re 4)))) (pow x.re 2))
(/.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64))) (*.f64 x.re x.re))
(/ (- (+ 1 (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow x.im 6) (pow x.re 6)))) (* -1 (/ (pow x.im 4) (pow x.re 4)))) (pow x.re 2))
(/.f64 (+.f64 (+.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64))) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 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)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) 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)
(* x.im (+ x.re (* -1 x.im)))
(*.f64 (-.f64 x.re x.im) x.im)
(+ (/ 1 (pow x.re 2)) (/ (pow x.im 2) (pow x.re 4)))
(fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re)))
(+ (* (pow x.im 2) (+ (/ 1 (pow x.re 4)) (/ (pow x.im 2) (pow x.re 6)))) (/ 1 (pow x.re 2)))
(fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 4 binary64))) (+.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (/ 1 (pow x.re 6)) (/ (pow x.im 2) (pow x.re 8)))) (/ 1 (pow x.re 4)))) (/ 1 (pow x.re 2)))
(fma.f64 (fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x.re #s(literal 6 binary64)))) (pow.f64 x.im #s(literal 4 binary64)) (fma.f64 x.im (/.f64 x.im (pow.f64 x.re #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x.re x.re))))
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 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) (- (/ x.re x.im) 1))
(*.f64 (*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im)
(/ (- (* -1 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)
(/ (- (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 4) (pow x.im 4)))) 1) (pow x.im 2))
(/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) (*.f64 x.im x.im))
(/ (- (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 6) (pow x.im 6)))) (+ 1 (/ (pow x.re 4) (pow x.im 4)))) (pow x.im 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))) (/.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 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 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) 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 #s(literal -3 binary64) x.im) (*.f64 x.re (/.f64 x.re x.im)) #s(literal 1 binary64)) (neg.f64 (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)))

rewrite233.0ms (3%)

Memory
9.9MiB live, 291.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044269
070241
1269209
21684209
08405204
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 137
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 (*.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 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(/.f64 #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 (*.f64 (/.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))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (/.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))))) x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (-.f64 x.re x.im) x.im)
(/.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 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 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 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 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 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 x.im (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))))))
(*.f64 (fma.f64 (pow.f64 x.re #s(literal 3 binary64)) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (-.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(/.f64 (-.f64 (pow.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)))) #s(literal 3 binary64)) (pow.f64 (/.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)))) #s(literal 3 binary64))) (fma.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.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)))) (fma.f64 (/.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.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 (/.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 (fma.f64 #s(literal -1 binary64) (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)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #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.im #s(literal 4 binary64)) (pow.f64 x.re #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.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 8 binary64)))) (*.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (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 (*.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)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 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)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))))
(/.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)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 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 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (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 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (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 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (*.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64)))))) (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) x.re (neg.f64 (pow.f64 x.im #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 (*.f64 (neg.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) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))
(fma.f64 (*.f64 x.im x.im) (*.f64 (neg.f64 x.im) x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 x.re (pow.f64 x.re #s(literal 3 binary64)) (neg.f64 (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)) (neg.f64 (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)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) #s(literal 1 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)))) #s(literal 1 binary64)) (/.f64 (/.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)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))))
(-.f64 (/.f64 (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)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.re #s(literal 4 binary64)))
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (neg.f64 (pow.f64 x.im #s(literal 4 binary64))))

eval161.0ms (2.1%)

Memory
-27.9MiB live, 288.4MiB allocated
Compiler

Compiled 40 858 to 3 808 computations (90.7% saved)

prune32.0ms (0.4%)

Memory
21.7MiB live, 99.6MiB allocated
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1 106151 121
Fresh314
Picked415
Done000
Total1 113171 130
Accuracy
100.0%
Counts
1 130 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.1%
(+.f64 (/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
36.9%
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
39.6%
(+.f64 (*.f64 (+.f64 x.im x.re) (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) x.im) (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
91.9%
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
88.3%
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
67.5%
(+.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 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
89.8%
(+.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
81.3%
#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 (/.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))))
89.7%
#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))
46.3%
#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)))
52.1%
#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)))
46.3%
#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)))
46.3%
#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))
52.1%
#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)))
52.1%
#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))))
52.1%
#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))))
59.4%
#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 917 to 534 computations (41.8% saved)

simplify210.0ms (2.7%)

Memory
18.2MiB live, 289.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x.im #s(literal 3 binary64))
cost-diff0
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
cost-diff0
#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))))
cost-diff0
(*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
cost-diff128
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.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-diff1024
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) 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 (-.f64 x.re x.im) x.im)
cost-diff0
(+.f64 x.im x.re)
cost-diff0
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
cost-diff704
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046286
072270
1123270
2216270
3495246
41219234
52148234
64706234
08112233
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) 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 x.re (+.f64 x.im x.im)) x.re)
(*.f64 x.re (+.f64 x.im x.im))
(+.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 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
(+.f64 x.im x.re)
x.im
x.re
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)
(neg.f64 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)
#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))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)
Outputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(*.f64 (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 x.re (+.f64 x.im x.im)) x.re)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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 (+ (* (- (* 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 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.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 (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.re x.im)))
(*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
(*.f64 #s(approx (* (- x.re x.im) x.im) (*.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
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))
#s(approx (* (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(*.f64 (-.f64 x.re x.im) x.im)
(fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im)
(neg.f64 x.im)
(/.f64 x.im x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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.re x.im)
#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 (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 3 binary64))
x.im
#s(literal 3 binary64)

localize98.0ms (1.3%)

Memory
-17.7MiB live, 193.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(pow.f64 x.im #s(literal 3 binary64))
accuracy0
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
accuracy25.985341051002713
#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))))
accuracy0.125
(*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
accuracy0.15625
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy4.308825118293976
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
accuracy5.081989966604116
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy0
(*.f64 x.re x.re)
accuracy0
(*.f64 #s(literal 3 binary64) x.im)
accuracy7.264125801765065
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
accuracy30.570041984496672
#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)
accuracy0.109375
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
accuracy0.14453125
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
accuracy30.570041984496672
#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))))
accuracy0.0078125
(*.f64 (-.f64 x.re x.im) x.im)
accuracy0.125
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
accuracy0.15625
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy5.081989966604116
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
Samples
72.0ms256×0valid
Compiler

Compiled 525 to 80 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-mult: 31.0ms (56.7% of total)
ival-add: 13.0ms (23.8% of total)
ival-sub: 3.0ms (5.5% of total)
ival-pow: 3.0ms (5.5% of total)
ival-div: 2.0ms (3.7% of total)
ival-neg: 2.0ms (3.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series35.0ms (0.5%)

Memory
-3.3MiB live, 35.7MiB allocated
Counts
20 → 49
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.im x.re)
(*.f64 (-.f64 x.re x.im) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 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 x.re x.re)
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) 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))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 3 binary64))
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
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))))))
(+ (* -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 2))
(+ (* -1 (pow x.im 2)) (* 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)))
(* 3 (* x.im x.re))
(pow x.re 2)
(* 2 (* x.im x.re))
(* 2 (* x.im (pow x.re 2)))
(* (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)))))
(* 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))))
x.re
(* x.re (+ 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))) (* 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)) (* 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)))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* 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 (+ x.re (* -1 x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 3 x.im)
(pow x.im 3)
(* (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 2) (- (/ x.re x.im) 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 (/ 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)))))))
Calls

6 calls:

TimeVariablePointExpression
21.0ms
x.re
@-inf
((+ (* (+ 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.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 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.re) (* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* 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.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (* (* x.re (+ x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms
x.im
@-inf
((+ (* (+ 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.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 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.re) (* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* 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.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (* (* x.re (+ x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms
x.im
@inf
((+ (* (+ 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.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 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.re) (* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* 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.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (* (* x.re (+ x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms
x.im
@0
((+ (* (+ 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.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 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.re) (* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* 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.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (* (* x.re (+ x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms
x.re
@inf
((+ (* (+ 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.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* x.re (* x.re (* 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.re) (* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* 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.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg (pow x.im 3)) (pow x.im 3) (* (* x.re (+ x.im x.im)) x.re) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify105.0ms (1.4%)

Memory
6.7MiB live, 159.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0153478
1533363
21753336
36451336
08307336
Stop Event
iter limit
node limit
Counts
49 → 47
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))))))
(+ (* -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 2))
(+ (* -1 (pow x.im 2)) (* 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)))
(* 3 (* x.im x.re))
(pow x.re 2)
(* 2 (* x.im x.re))
(* 2 (* x.im (pow x.re 2)))
(* (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)))))
(* 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))))
x.re
(* x.re (+ 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))) (* 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)) (* 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)))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* 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 (+ x.re (* -1 x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 3 x.im)
(pow x.im 3)
(* (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 2) (- (/ x.re x.im) 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 (/ 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)))))))
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.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 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 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 (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) #s(literal 3 binary64)) x.im)
(* 3 (* x.im x.re))
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(* 2 (* x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) x.im)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)
(* (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) #s(literal 3 binary64)) x.im)
(* (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))
(* 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))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(+.f64 x.re x.im)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(*.f64 (-.f64 x.re x.im) x.im)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* 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)))
(+.f64 x.re x.im)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 (-.f64 x.re x.im) x.im)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) 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) #s(literal 3 binary64)) x.im)
(* 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 (+ x.re (* -1 x.im)))
(*.f64 (-.f64 x.re x.im) 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)
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(pow x.im 3)
(pow.f64 x.im #s(literal 3 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)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* (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 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(* x.im (+ 1 (/ x.re x.im)))
(+.f64 x.re x.im)
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 (-.f64 x.re 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 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* -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))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) 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)
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(+.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 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)

rewrite69.0ms (0.9%)

Memory
-21.5MiB live, 105.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046224
072214
1247182
01375177
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
20 → 297
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.im x.re)
(*.f64 (-.f64 x.re x.im) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 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 x.re x.re)
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) 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))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(pow.f64 x.im #s(literal 3 binary64))
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))))
(*.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)) (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))))
(fma.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (*.f64 x.re #s(literal 2 binary64)) x.im (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(fma.f64 (*.f64 x.im (+.f64 x.re x.im)) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.im))
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(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.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 #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)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x.im))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 (*.f64 x.re x.im) x.re (*.f64 (*.f64 x.re x.im) x.re))
(fma.f64 x.re (*.f64 x.re x.im) (*.f64 x.re (*.f64 x.re x.im)))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(fma.f64 x.im x.re (*.f64 x.re x.im))
(-.f64 (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64)) (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 x.re x.im) x.re) (*.f64 (*.f64 x.re x.im) x.re))
(+.f64 (*.f64 x.re (*.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re x.im)))
(+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im))
(+.f64 x.im x.im)
(*.f64 (*.f64 x.re #s(literal 2 binary64)) x.im)
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x.im x.im #s(literal 0 binary64))))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 x.re x.im))
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 (*.f64 #s(literal 2 binary64) x.im) (*.f64 x.re x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im))
(*.f64 x.re (*.f64 #s(literal 2 binary64) x.im))
(*.f64 x.im (+.f64 x.re x.re))
(*.f64 x.im #s(literal 2 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #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 x.im #s(literal 3 binary64))) x.re) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.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 #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)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x.im))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.im x.im #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 (*.f64 x.re x.im) x.re (*.f64 (*.f64 x.re x.im) x.re))
(fma.f64 x.re (*.f64 x.re x.im) (*.f64 x.re (*.f64 x.re x.im)))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(fma.f64 x.im x.re (*.f64 x.re x.im))
(-.f64 (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64)) (/.f64 (*.f64 x.im x.im) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (*.f64 (*.f64 x.re x.im) x.re) (*.f64 (*.f64 x.re x.im) x.re))
(+.f64 (*.f64 x.re (*.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re x.im)))
(+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im))
(+.f64 x.im x.im)

eval34.0ms (0.4%)

Memory
-0.6MiB live, 79.2MiB allocated
Compiler

Compiled 7 614 to 763 computations (90% saved)

prune29.0ms (0.4%)

Memory
27.6MiB live, 66.7MiB allocated
Pruning

19 alts after pruning (15 fresh and 4 done)

PrunedKeptTotal
New2468254
Fresh4711
Picked145
Done101
Total25219271
Accuracy
100.0%
Counts
271 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.1%
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))
60.5%
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im))
89.7%
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
73.3%
(fma.f64 x.im (+.f64 x.re x.re) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)))
78.8%
(+.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))
77.7%
(+.f64 (/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))) (-.f64 x.im x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
86.1%
(+.f64 (/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
36.9%
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
91.9%
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
67.5%
(+.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 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
81.3%
#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 (/.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))))
89.7%
#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))
46.3%
#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) #s(literal 3 binary64)) x.im))
52.1%
#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)))
46.3%
#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)))
52.1%
#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)))
52.1%
#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))))
59.3%
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
59.4%
#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 891 to 515 computations (42.2% saved)

simplify147.0ms (1.9%)

Memory
-11.5MiB live, 186.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x.im)
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff704
(+.f64 (/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff1600
(/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
cost-diff0
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))
cost-diff0
(+.f64 x.re x.im)
cost-diff0
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im))
cost-diff1024
(*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)
cost-diff0
(*.f64 x.re x.re)
cost-diff0
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 x.re x.re) #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 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
cost-diff-5824
(*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)
cost-diff0
(neg.f64 x.im)
cost-diff0
(*.f64 (neg.f64 x.im) x.im)
cost-diff0
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
cost-diff0
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
cost-diff0
(*.f64 #s(literal 2 binary64) x.im)
cost-diff0
(*.f64 x.re x.re)
cost-diff576
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
046279
073270
1139260
2303252
3967236
43333224
57584224
08572224
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(*.f64 x.re x.re)
x.re
(*.f64 #s(literal 2 binary64) x.im)
#s(literal 2 binary64)
x.im
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
(*.f64 (+.f64 x.re x.im) x.im)
(+.f64 x.re x.im)
(-.f64 x.re x.im)
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(*.f64 (*.f64 (neg.f64 x.im) 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.re) #s(literal 3 binary64)) x.im))
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(*.f64 x.re x.re)
x.re
#s(literal 3 binary64)
x.im
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im))
(+.f64 x.re x.im)
x.re
x.im
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))
(*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im)
(/.f64 x.im x.re)
(neg.f64 x.im)
(*.f64 #s(literal 2 binary64) x.im)
#s(literal 2 binary64)
(+.f64 (/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
(neg.f64 x.im)
x.im
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))
#s(literal -1 binary64)
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(-.f64 x.re x.im)
x.re
(+.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)
Outputs
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) x.im)
(*.f64 x.re x.re)
x.re
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im #s(literal 2 binary64))
#s(literal 2 binary64)
x.im
(*.f64 (*.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.im)
(*.f64 (+.f64 x.re x.im) x.im)
(*.f64 (+.f64 x.im x.re) x.im)
(+.f64 x.re x.im)
(+.f64 x.im x.re)
(-.f64 x.re x.im)
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.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)) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)
(pow.f64 (neg.f64 x.im) #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 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
#s(literal 3 binary64)
x.im
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.im x.re) (*.f64 x.im #s(literal 2 binary64)))
(+.f64 x.re x.im)
(+.f64 x.im x.re)
x.re
x.im
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))
#s(approx (* (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)
(*.f64 (-.f64 x.re x.im) x.im)
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.im)
(/.f64 x.im x.re)
(neg.f64 x.im)
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 x.im #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) x.im)
(/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) x.im)
(neg.f64 x.im)
x.im
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)) (-.f64 x.re x.im))
#s(literal -1 binary64)
(*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(-.f64 x.re 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 (*.f64 x.im x.re) #s(literal 2 binary64)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (*.f64 x.im x.re) #s(literal 2 binary64))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.im x.re)

localize130.0ms (1.7%)

Memory
6.0MiB live, 206.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.15625
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy0.47495202890783006
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))
accuracy3.7999233171924063
(/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
accuracy5.081989966604116
(+.f64 (/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy0
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))
accuracy0.0703125
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im)
accuracy0.1171875
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im))
accuracy4.308825118293976
(*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)
accuracy0
(*.f64 x.re x.re)
accuracy0.1640625
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
accuracy7.193982810500942
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)
accuracy30.570041984496672
#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) #s(literal 3 binary64)) x.im))
accuracy0
(*.f64 (neg.f64 x.im) x.im)
accuracy0
(neg.f64 x.im)
accuracy0.1171875
(*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)
accuracy25.985341051002713
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
accuracy0
(*.f64 #s(literal 2 binary64) x.im)
accuracy0.01171875
(*.f64 (+.f64 x.re x.im) x.im)
accuracy0.125
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
accuracy6.536206454050611
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
Samples
82.0ms256×0valid
Compiler

Compiled 529 to 88 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 46.0ms (72.2% of total)
ival-add: 9.0ms (14.1% of total)
ival-div: 5.0ms (7.8% of total)
ival-sub: 2.0ms (3.1% of total)
ival-neg: 1.0ms (1.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series30.0ms (0.4%)

Memory
12.0MiB live, 52.8MiB allocated
Counts
22 → 89
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(*.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
(*.f64 (*.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.re) #s(literal 3 binary64)) x.im))
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im))
(+.f64 x.re x.im)
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))
(/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
(+.f64 (/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re 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 (+.f64 x.re x.im) x.im)
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im)
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
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))))))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (pow x.re 2))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* 2 x.im))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
x.im
(+ x.im x.re)
(* 2 (* x.im x.re))
(pow x.im 2)
(+ (* x.im x.re) (pow x.im 2))
(* -1 (/ (pow x.im 2) x.re))
(/ (+ (* -1 (pow x.im 2)) (* x.im x.re)) x.re)
(/ 1 (pow x.im 2))
(+ (/ 1 (pow x.im 2)) (/ (* x.re (+ x.im (* -1 x.im))) (pow x.im 4)))
(+ (* x.re (- (* x.re (- (/ 1 (pow x.im 4)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.im 6))))) (* -1 (/ (+ x.im (* -1 x.im)) (pow x.im 4))))) (/ 1 (pow x.im 2)))
(+ (* x.re (- (* x.re (- (+ (* -1 (* x.re (+ (* -1 (/ (* (+ x.im (* -1 x.im)) (- (/ 1 (pow x.im 4)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.im 6))))) (pow x.im 2))) (* -1 (/ (+ x.im (* -1 x.im)) (pow x.im 6)))))) (/ 1 (pow x.im 4))) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.im 6))))) (* -1 (/ (+ x.im (* -1 x.im)) (pow x.im 4))))) (/ 1 (pow x.im 2)))
(* 2 (* x.im (pow x.re 2)))
(* (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)))))
(* 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 (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 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))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(+ x.im (* -1 (/ (pow x.im 2) x.re)))
(/ -1 (pow x.re 2))
(/ (- (+ (* -1 (/ x.im x.re)) (/ x.im x.re)) 1) (pow x.re 2))
(/ (- (* -1 (/ (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)) (pow x.re 2))) (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re)))) (pow x.re 2))
(/ (- (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)))) (* -1 (* (pow x.im 2) (+ x.im (* -1 x.im))))) (pow x.re 3))) (+ 1 (+ (* -1 (/ (+ x.im (* -1 x.im)) x.re)) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2)))))) (pow x.re 2))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ 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))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(/ (- (* -1 (/ (- (+ (/ (pow x.im 2) x.re) (/ (pow (+ x.im (* -1 x.im)) 2) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.im (* -1 x.im)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re) (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 2))
(* 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))))
(* 2 x.im)
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* -1 x.im)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ 2 (pow x.re 2)))
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ x.im x.re))
(* x.im (+ 1 (* -1 (/ x.im x.re))))
(- (/ (* x.im (+ x.re (* -1 x.re))) (pow x.re 4)) (/ 1 (pow x.re 2)))
(- (* x.im (- (* -1 (* x.im (+ (/ 1 (pow x.re 4)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.re 6))))) (* -1 (/ (+ x.re (* -1 x.re)) (pow x.re 4))))) (/ 1 (pow x.re 2)))
(- (* x.im (- (* x.im (- (* -1 (* x.im (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (+ (/ 1 (pow x.re 4)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.re 6)))) (pow x.re 2))) (* -1 (/ (+ x.re (* -1 x.re)) (pow x.re 6)))))) (+ (/ 1 (pow x.re 4)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.re 6))))) (* -1 (/ (+ x.re (* -1 x.re)) (pow x.re 4))))) (/ 1 (pow x.re 2)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (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) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* x.im (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re)))
(/ (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))) (pow x.im 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2))) (pow x.im 2)))) (* -1 (/ (+ x.re (* -1 x.re)) x.im))) (pow x.im 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (pow x.re 2) (+ x.re (* -1 x.re)))) (* (+ x.re (* -1 x.re)) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2))))) (pow x.im 3)))) (+ (* -1 (/ (+ x.re (* -1 x.re)) x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 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))) (* -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 (* (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 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(/ (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im))) (pow x.im 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x.re 2) x.im)) (* -1 (/ (pow (+ x.re (* -1 x.re)) 2) x.im))) (* -1 (+ x.re (* -1 x.re)))) x.im))) (pow x.im 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) x.im)) (/ (* (+ x.re (* -1 x.re)) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2)))) x.im)) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2)))) x.im)) (* -1 (+ x.re (* -1 x.re)))) x.im))) (pow x.im 2))
Calls

6 calls:

TimeVariablePointExpression
11.0ms
x.re
@inf
((+ (* (* x.re x.re) (* 2 x.im)) (* (* (+ x.re x.im) x.im) (- x.re x.im))) (* x.re x.re) (* 2 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.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) 3) x.im) (* (* x.re x.re) 3) (* (+ (* (/ x.im x.re) (neg x.im)) x.im) x.re) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (+ x.re x.im) (* (- x.re x.im) x.im) (/ (neg x.im) (/ -1 (* (- x.re x.im) (+ x.re x.im)))) (+ (/ (neg x.im) (/ -1 (* (- x.re x.im) (+ x.re 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 x.re) (neg x.im)) x.im) (/ -1 (* (- x.re x.im) (+ x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
4.0ms
x.im
@inf
((+ (* (* x.re x.re) (* 2 x.im)) (* (* (+ x.re x.im) x.im) (- x.re x.im))) (* x.re x.re) (* 2 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.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) 3) x.im) (* (* x.re x.re) 3) (* (+ (* (/ x.im x.re) (neg x.im)) x.im) x.re) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (+ x.re x.im) (* (- x.re x.im) x.im) (/ (neg x.im) (/ -1 (* (- x.re x.im) (+ x.re x.im)))) (+ (/ (neg x.im) (/ -1 (* (- x.re x.im) (+ x.re 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 x.re) (neg x.im)) x.im) (/ -1 (* (- x.re x.im) (+ x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
4.0ms
x.im
@-inf
((+ (* (* x.re x.re) (* 2 x.im)) (* (* (+ x.re x.im) x.im) (- x.re x.im))) (* x.re x.re) (* 2 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.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) 3) x.im) (* (* x.re x.re) 3) (* (+ (* (/ x.im x.re) (neg x.im)) x.im) x.re) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (+ x.re x.im) (* (- x.re x.im) x.im) (/ (neg x.im) (/ -1 (* (- x.re x.im) (+ x.re x.im)))) (+ (/ (neg x.im) (/ -1 (* (- x.re x.im) (+ x.re 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 x.re) (neg x.im)) x.im) (/ -1 (* (- x.re x.im) (+ x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms
x.im
@0
((+ (* (* x.re x.re) (* 2 x.im)) (* (* (+ x.re x.im) x.im) (- x.re x.im))) (* x.re x.re) (* 2 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.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) 3) x.im) (* (* x.re x.re) 3) (* (+ (* (/ x.im x.re) (neg x.im)) x.im) x.re) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (+ x.re x.im) (* (- x.re x.im) x.im) (/ (neg x.im) (/ -1 (* (- x.re x.im) (+ x.re x.im)))) (+ (/ (neg x.im) (/ -1 (* (- x.re x.im) (+ x.re 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 x.re) (neg x.im)) x.im) (/ -1 (* (- x.re x.im) (+ x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms
x.re
@-inf
((+ (* (* x.re x.re) (* 2 x.im)) (* (* (+ x.re x.im) x.im) (- x.re x.im))) (* x.re x.re) (* 2 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.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (neg x.im) (* (* (neg x.im) x.im) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) 3) x.im) (* (* x.re x.re) 3) (* (+ (* (/ x.im x.re) (neg x.im)) x.im) x.re) (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (+ x.re x.im) (* (- x.re x.im) x.im) (/ (neg x.im) (/ -1 (* (- x.re x.im) (+ x.re x.im)))) (+ (/ (neg x.im) (/ -1 (* (- x.re x.im) (+ x.re 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 x.re) (neg x.im)) x.im) (/ -1 (* (- x.re x.im) (+ x.re x.im))) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify92.0ms (1.2%)

Memory
3.5MiB live, 158.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03571206
11201880
24862791
08190762
Stop Event
iter limit
node limit
Counts
89 → 87
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))))))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (pow x.re 2))
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* 2 x.im))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
x.im
(+ x.im x.re)
(* 2 (* x.im x.re))
(pow x.im 2)
(+ (* x.im x.re) (pow x.im 2))
(* -1 (/ (pow x.im 2) x.re))
(/ (+ (* -1 (pow x.im 2)) (* x.im x.re)) x.re)
(/ 1 (pow x.im 2))
(+ (/ 1 (pow x.im 2)) (/ (* x.re (+ x.im (* -1 x.im))) (pow x.im 4)))
(+ (* x.re (- (* x.re (- (/ 1 (pow x.im 4)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.im 6))))) (* -1 (/ (+ x.im (* -1 x.im)) (pow x.im 4))))) (/ 1 (pow x.im 2)))
(+ (* x.re (- (* x.re (- (+ (* -1 (* x.re (+ (* -1 (/ (* (+ x.im (* -1 x.im)) (- (/ 1 (pow x.im 4)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.im 6))))) (pow x.im 2))) (* -1 (/ (+ x.im (* -1 x.im)) (pow x.im 6)))))) (/ 1 (pow x.im 4))) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.im 6))))) (* -1 (/ (+ x.im (* -1 x.im)) (pow x.im 4))))) (/ 1 (pow x.im 2)))
(* 2 (* x.im (pow x.re 2)))
(* (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)))))
(* 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 (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* 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))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(+ x.im (* -1 (/ (pow x.im 2) x.re)))
(/ -1 (pow x.re 2))
(/ (- (+ (* -1 (/ x.im x.re)) (/ x.im x.re)) 1) (pow x.re 2))
(/ (- (* -1 (/ (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)) (pow x.re 2))) (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re)))) (pow x.re 2))
(/ (- (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)))) (* -1 (* (pow x.im 2) (+ x.im (* -1 x.im))))) (pow x.re 3))) (+ 1 (+ (* -1 (/ (+ x.im (* -1 x.im)) x.re)) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 2)))))) (pow x.re 2))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ 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))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(/ (- (* -1 (/ (- (+ (/ (pow x.im 2) x.re) (/ (pow (+ x.im (* -1 x.im)) 2) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.im (* -1 x.im)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re) (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 2))
(* 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))))
(* 2 x.im)
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* -1 x.im)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ 2 (pow x.re 2)))
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ x.im x.re))
(* x.im (+ 1 (* -1 (/ x.im x.re))))
(- (/ (* x.im (+ x.re (* -1 x.re))) (pow x.re 4)) (/ 1 (pow x.re 2)))
(- (* x.im (- (* -1 (* x.im (+ (/ 1 (pow x.re 4)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.re 6))))) (* -1 (/ (+ x.re (* -1 x.re)) (pow x.re 4))))) (/ 1 (pow x.re 2)))
(- (* x.im (- (* x.im (- (* -1 (* x.im (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (+ (/ 1 (pow x.re 4)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.re 6)))) (pow x.re 2))) (* -1 (/ (+ x.re (* -1 x.re)) (pow x.re 6)))))) (+ (/ 1 (pow x.re 4)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.re 6))))) (* -1 (/ (+ x.re (* -1 x.re)) (pow x.re 4))))) (/ 1 (pow x.re 2)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (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) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* x.im (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re)))
(/ (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))) (pow x.im 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2))) (pow x.im 2)))) (* -1 (/ (+ x.re (* -1 x.re)) x.im))) (pow x.im 2))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (pow x.re 2) (+ x.re (* -1 x.re)))) (* (+ x.re (* -1 x.re)) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2))))) (pow x.im 3)))) (+ (* -1 (/ (+ x.re (* -1 x.re)) x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 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))) (* -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 (* (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 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(/ (+ 1 (* -1 (/ (+ x.re (* -1 x.re)) x.im))) (pow x.im 2))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x.re 2) x.im)) (* -1 (/ (pow (+ x.re (* -1 x.re)) 2) x.im))) (* -1 (+ x.re (* -1 x.re)))) x.im))) (pow x.im 2))
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) x.im)) (/ (* (+ x.re (* -1 x.re)) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2)))) x.im)) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2)))) x.im)) (* -1 (+ x.re (* -1 x.re)))) x.im))) (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)
(pow x.re 2)
(*.f64 x.re 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)
(+ (* -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)
(* 3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(* -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 (pow x.im 3)) (* 2 x.im))
(*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))
(*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im x.im)))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im)
x.im
(+ x.im x.re)
(+.f64 x.im x.re)
(* 2 (* x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(pow x.im 2)
(*.f64 x.im x.im)
(+ (* x.im x.re) (pow x.im 2))
(*.f64 (+.f64 x.im x.re) x.im)
(* -1 (/ (pow x.im 2) x.re))
(/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)
(/ (+ (* -1 (pow x.im 2)) (* x.im x.re)) x.re)
(/.f64 (*.f64 (-.f64 x.re x.im) x.im) x.re)
(/ 1 (pow x.im 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
(+ (/ 1 (pow x.im 2)) (/ (* x.re (+ x.im (* -1 x.im))) (pow x.im 4)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)) #s(literal 0 binary64))
(+ (* x.re (- (* x.re (- (/ 1 (pow x.im 4)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.im 6))))) (* -1 (/ (+ x.im (* -1 x.im)) (pow x.im 4))))) (/ 1 (pow x.im 2)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 4 binary64))) x.re #s(literal 0 binary64)) x.re (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))
(+ (* x.re (- (* x.re (- (+ (* -1 (* x.re (+ (* -1 (/ (* (+ x.im (* -1 x.im)) (- (/ 1 (pow x.im 4)) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.im 6))))) (pow x.im 2))) (* -1 (/ (+ x.im (* -1 x.im)) (pow x.im 6)))))) (/ 1 (pow x.im 4))) (* -1 (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.im 6))))) (* -1 (/ (+ x.im (* -1 x.im)) (pow x.im 4))))) (/ 1 (pow x.im 2)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 4 binary64))) x.re #s(literal 0 binary64)) x.re (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* (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))
(* 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 (+ (* -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))
(* x.im x.re)
(*.f64 x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) 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 (+ x.im (* -1 x.im))) x.re)))))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x.re) (/.f64 x.im x.re) 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)
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
(+ x.im (* -1 (/ (pow x.im 2) x.re)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.im)
(/ -1 (pow x.re 2))
(/.f64 #s(literal -1 binary64) (*.f64 x.re x.re))
(/ (- (+ (* -1 (/ x.im x.re)) (/ x.im x.re)) 1) (pow x.re 2))
(/.f64 #s(literal -1 binary64) (*.f64 x.re x.re))
(/ (- (* -1 (/ (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)) (pow x.re 2))) (+ 1 (* -1 (/ (+ x.im (* -1 x.im)) x.re)))) (pow x.re 2))
(/.f64 (/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) (neg.f64 x.re))
(/ (- (* -1 (/ (+ (* -1 (* (+ x.im (* -1 x.im)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2)))) (* -1 (* (pow x.im 2) (+ x.im (* -1 x.im))))) (pow x.re 3))) (+ 1 (+ (* -1 (/ (+ x.im (* -1 x.im)) x.re)) (+ (/ (pow x.im 2) (pow x.re 2)) (/ (pow (+ x.im (* -1 x.im)) 2) (pow x.re 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) (neg.f64 x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (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) (/ (pow x.im 2) x.re))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.im) x.re)
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im x.im))) x.re) x.re) x.im) (*.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)
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
(/ (- (* -1 (/ (- (+ (/ (pow x.im 2) x.re) (/ (pow (+ x.im (* -1 x.im)) 2) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 2))
(/.f64 (/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) (neg.f64 x.re))
(/ (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ x.im (* -1 x.im)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re) (/ (* (pow x.im 2) (+ x.im (* -1 x.im))) x.re)) (+ (pow x.im 2) (pow (+ x.im (* -1 x.im)) 2))) x.re)) (+ x.im (* -1 x.im))) x.re)) 1) (pow x.re 2))
(/.f64 (/.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) (neg.f64 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)
(* 2 x.im)
(*.f64 #s(literal 2 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)
(* -1 x.im)
(neg.f64 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 (+ x.re (* -1 x.im)))
(*.f64 (-.f64 x.re x.im) x.im)
(* x.im (+ 2 (pow x.re 2)))
(*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im)
(* x.im (+ x.im x.re))
(*.f64 (+.f64 x.im x.re) x.im)
(* x.im (+ 1 (* -1 (/ x.im x.re))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.im)
(- (/ (* x.im (+ x.re (* -1 x.re))) (pow x.re 4)) (/ 1 (pow x.re 2)))
(/.f64 #s(literal -1 binary64) (*.f64 x.re x.re))
(- (* x.im (- (* -1 (* x.im (+ (/ 1 (pow x.re 4)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.re 6))))) (* -1 (/ (+ x.re (* -1 x.re)) (pow x.re 4))))) (/ 1 (pow x.re 2)))
(fma.f64 (/.f64 (neg.f64 x.im) (pow.f64 x.re #s(literal 4 binary64))) x.im (/.f64 #s(literal -1 binary64) (*.f64 x.re x.re)))
(- (* x.im (- (* x.im (- (* -1 (* x.im (+ (* -1 (/ (* (+ x.re (* -1 x.re)) (+ (/ 1 (pow x.re 4)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.re 6)))) (pow x.re 2))) (* -1 (/ (+ x.re (* -1 x.re)) (pow x.re 6)))))) (+ (/ 1 (pow x.re 4)) (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.re 6))))) (* -1 (/ (+ x.re (* -1 x.re)) (pow x.re 4))))) (/ 1 (pow x.re 2)))
(fma.f64 (/.f64 (neg.f64 x.im) (pow.f64 x.re #s(literal 4 binary64))) x.im (/.f64 #s(literal -1 binary64) (*.f64 x.re x.re)))
(* (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 x.re x.im) (/.f64 x.re x.im)) #s(literal 3 binary64) #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)))
(* (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 x.re x.im) (/.f64 x.re x.im)) #s(literal 3 binary64) #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) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ 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) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x.im 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 2) (+ 1 (/ x.re x.im)))
(*.f64 (fma.f64 (/.f64 x.re x.im) x.im x.im) x.im)
(* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)) (*.f64 x.im x.im))
(/ (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im))) (pow x.im 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
(/ (- (+ 1 (* -1 (/ (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2))) (pow x.im 2)))) (* -1 (/ (+ x.re (* -1 x.re)) x.im))) (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)
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (pow x.re 2) (+ x.re (* -1 x.re)))) (* (+ x.re (* -1 x.re)) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2))))) (pow x.im 3)))) (+ (* -1 (/ (+ x.re (* -1 x.re)) x.im)) (+ (* -1 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow (+ x.re (* -1 x.re)) 2) (pow x.im 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)
(* -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 (+.f64 (/.f64 (/.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im) 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 (* (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 #s(literal -3 binary64) (*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) #s(literal 1 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im) 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 (* -1 (/ (+ x.re (* -1 x.re)) x.im))) (pow x.im 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
(/ (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow x.re 2) x.im)) (* -1 (/ (pow (+ x.re (* -1 x.re)) 2) x.im))) (* -1 (+ x.re (* -1 x.re)))) x.im))) (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)
(/ (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (pow x.re 2) (+ x.re (* -1 x.re))) x.im)) (/ (* (+ x.re (* -1 x.re)) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2)))) x.im)) (+ (* -1 (pow x.re 2)) (* -1 (pow (+ x.re (* -1 x.re)) 2)))) x.im)) (* -1 (+ x.re (* -1 x.re)))) x.im))) (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)

rewrite217.0ms (2.8%)

Memory
0.2MiB live, 358.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046228
073228
1287200
22093200
09084197
Stop Event
iter limit
node limit
iter limit
Counts
22 → 803
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(*.f64 x.re x.re)
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
(*.f64 (*.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.re) #s(literal 3 binary64)) x.im))
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im))
(+.f64 x.re x.im)
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))
(/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
(+.f64 (/.f64 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re 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 (+.f64 x.re x.im) x.im)
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im)
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
Outputs
(*.f64 (/.f64 (*.f64 x.im (fma.f64 #s(literal 2 binary64) (*.f64 x.re x.re) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) x.im) (/.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))))
(*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 2 binary64))) (pow.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) (-.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))))) #s(literal -1 binary64)))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) (*.f64 x.re x.re) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re))))
(pow.f64 (/.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) (-.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))))) (fma.f64 (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) (-.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x.im (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))) (*.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 2 binary64)))) (*.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) (*.f64 x.im (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 2 binary64)))) (neg.f64 (*.f64 x.im (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))))
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(fma.f64 (pow.f64 x.re #s(literal -1 binary64)) (/.f64 (neg.f64 x.im) (pow.f64 x.im #s(literal -1 binary64))) x.im)
(fma.f64 #s(literal 1 binary64) x.im (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x.im) #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x.im x.re) x.im) x.im)
(fma.f64 #s(literal -1 binary64) (neg.f64 x.im) (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re))
(fma.f64 (/.f64 x.im x.re) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal -1 binary64))) x.im)
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im)
(fma.f64 (*.f64 (neg.f64 x.im) x.im) (pow.f64 x.re #s(literal -1 binary64)) x.im)
(fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)
(fma.f64 x.im (*.f64 (pow.f64 x.re #s(literal -1 binary64)) (neg.f64 x.im)) x.im)
(fma.f64 x.im (/.f64 (neg.f64 x.im) x.re) x.im)
(-.f64 (/.f64 (*.f64 x.im x.im) (-.f64 x.im (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re))) (/.f64 (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 2 binary64)) (-.f64 x.im (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) x.im)) (/.f64 (*.f64 x.im x.im) (-.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) x.im)))
(-.f64 x.im (*.f64 (/.f64 x.im x.re) x.im))
(+.f64 (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re) x.im)
(+.f64 x.im (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))) (/.f64 (fma.f64 (+.f64 x.im x.re) x.im (*.f64 x.re x.re)) (fma.f64 (+.f64 x.im x.re) x.im (*.f64 x.re x.re))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) (/.f64 (fma.f64 (+.f64 x.im x.re) x.im (*.f64 x.re x.re)) (+.f64 x.im x.re)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (/.f64 (fma.f64 (+.f64 x.im x.re) x.im (*.f64 x.re x.re)) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (/.f64 (fma.f64 (+.f64 x.im x.re) x.im (*.f64 x.re x.re)) (pow.f64 (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (/.f64 (fma.f64 (+.f64 x.im x.re) x.im (*.f64 x.re x.re)) (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))) (/.f64 (+.f64 x.im x.re) (fma.f64 (+.f64 x.im x.re) x.im (*.f64 x.re x.re))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) (/.f64 (-.f64 x.re x.im) (-.f64 x.re x.im)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (/.f64 (+.f64 x.im x.re) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (/.f64 (+.f64 x.im x.re) (pow.f64 (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (/.f64 (+.f64 x.im x.re) (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64)) (fma.f64 (+.f64 x.im x.re) x.im (*.f64 x.re x.re))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.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 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (/.f64 (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (-.f64 x.re x.im)) (/.f64 (fma.f64 (+.f64 x.im x.re) x.im (*.f64 x.re x.re)) (/.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (+.f64 x.im x.re)) (/.f64 (fma.f64 (+.f64 x.im x.re) x.im (*.f64 x.re x.re)) (/.f64 (-.f64 x.re x.im) (-.f64 x.re x.im))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (-.f64 x.re x.im)) (/.f64 (+.f64 x.im x.re) (/.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (+.f64 x.im x.re)) (/.f64 (+.f64 x.im x.re) (/.f64 (-.f64 x.re x.im) (-.f64 x.re x.im))))
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (+.f64 x.im x.re)) #s(literal -1 binary64)) (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re))) (-.f64 x.im x.re))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (fma.f64 (-.f64 x.re x.im) x.re (*.f64 x.im x.im)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (-.f64 x.re x.im))
(*.f64 (/.f64 #s(literal -1 binary64) (-.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 #s(literal -1 binary64) (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)) (/.f64 (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64)) (/.f64 (-.f64 x.re x.im) (-.f64 x.re x.im))))
(*.f64 (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))
(*.f64 (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 x.im x.re) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 (neg.f64 (+.f64 x.im x.re)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (/.f64 (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64)) (/.f64 (+.f64 x.im x.re) (-.f64 x.re x.im))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (pow.f64 (+.f64 x.im x.re) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) (/.f64 (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 (-.f64 x.re x.im) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 x.im x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im))) #s(literal -1 binary64))
(pow.f64 (neg.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))) #s(literal 1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re))) (neg.f64 (-.f64 x.re x.im)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))) (neg.f64 (neg.f64 (+.f64 x.im x.re))))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x.im x.re)) (-.f64 x.re x.im))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im))) (neg.f64 (+.f64 x.im x.re)))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (+.f64 x.im x.re))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x.im x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im))))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x.im x.re) (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))))
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))
(neg.f64 (pow.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)))) #s(literal -1 binary64)))
(*.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)))

eval165.0ms (2.1%)

Memory
5.8MiB live, 194.9MiB allocated
Compiler

Compiled 35 641 to 3 345 computations (90.6% saved)

prune88.0ms (1.1%)

Memory
-27.3MiB live, 98.3MiB allocated
Pruning

22 alts after pruning (16 fresh and 6 done)

PrunedKeptTotal
New1 031111 042
Fresh5510
Picked235
Done134
Total1 039221 061
Accuracy
100.0%
Counts
1 061 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.1%
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))
60.5%
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im))
39.0%
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 #s(approx (+ (* (/ x.im x.re) (neg x.im)) x.im) (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im))
87.0%
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 #s(approx (+ x.re x.im) (fma.f64 (/.f64 x.re x.im) x.im x.im)) x.im) (-.f64 x.re x.im)))
46.3%
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) #s(approx (* (* (+ x.re x.im) x.im) (- x.re x.im)) (*.f64 (*.f64 x.re x.re) x.im)))
73.3%
(fma.f64 x.im (+.f64 x.re x.re) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)))
86.2%
(+.f64 (/.f64 (neg.f64 x.im) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (+.f64 x.im x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
65.7%
(+.f64 (/.f64 (neg.f64 x.im) #s(approx (/ -1 (* (- x.re x.im) (+ x.re x.im))) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
76.6%
(+.f64 (*.f64 (/.f64 x.im (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)))) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
36.9%
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
89.7%
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re))))
89.7%
#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))
46.3%
#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) #s(literal 3 binary64)) x.im))
52.1%
#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)))
46.3%
#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)))
52.1%
#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.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
52.1%
#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))))
59.1%
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im))
22.8%
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
42.8%
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im x.im))))
59.3%
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
59.4%
#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 1 657 to 537 computations (67.6% saved)

regimes60.0ms (0.8%)

Memory
17.6MiB live, 56.4MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.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 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.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.im x.re) (*.f64 #s(literal 3 binary64) 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 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) #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.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re 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))
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) #s(approx (* (* (+ x.re x.im) x.im) (- x.re x.im)) (*.f64 (*.f64 x.re x.re) x.im)))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re))))
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(+.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))
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 #s(approx (+ (* (/ x.im x.re) (neg x.im)) x.im) (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im))
(+.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 x.im (+.f64 x.re x.re) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)))
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 #s(approx (+ x.re x.im) (fma.f64 (/.f64 x.re x.im) x.im x.im)) x.im) (-.f64 x.re x.im)))
(+.f64 (/.f64 (neg.f64 x.im) #s(approx (/ -1 (* (- x.re x.im) (+ x.re x.im))) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) 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 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (/.f64 (neg.f64 x.im) (/.f64 (/.f64 #s(literal -1 binary64) (-.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 #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 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) 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 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (/.f64 x.im (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)))) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))) (*.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))))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.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))))
(+.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 x.im x.re) (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) x.im) (fma.f64 x.re x.re (*.f64 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 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))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) 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 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 (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))))
Calls

3 calls:

35.0ms
x.im
12.0ms
x.re
11.0ms
(+.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
95.5%2x.re
99.9%2x.im
99.7%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)

regimes185.0ms (2.4%)

Memory
-16.2MiB live, 22.2MiB allocated
Counts
39 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.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 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.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.im x.re) (*.f64 #s(literal 3 binary64) 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 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) #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.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re 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))
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) #s(approx (* (* (+ x.re x.im) x.im) (- x.re x.im)) (*.f64 (*.f64 x.re x.re) x.im)))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re))))
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(+.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))
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 #s(approx (+ (* (/ x.im x.re) (neg x.im)) x.im) (/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)) x.re)) (*.f64 #s(literal 2 binary64) x.im))
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.im))
(+.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 x.im (+.f64 x.re x.re) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)))
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (*.f64 #s(approx (+ x.re x.im) (fma.f64 (/.f64 x.re x.im) x.im x.im)) x.im) (-.f64 x.re x.im)))
(+.f64 (/.f64 (neg.f64 x.im) #s(approx (/ -1 (* (- x.re x.im) (+ x.re x.im))) (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) 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 (neg.f64 x.im) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (/.f64 (neg.f64 x.im) (/.f64 (/.f64 #s(literal -1 binary64) (-.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 #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 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (/.f64 (*.f64 (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re)) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) 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 #s(literal 1 binary64) (/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (fma.f64 x.re x.re (*.f64 x.im x.im)) (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (/.f64 x.im (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 x.re x.im)) (*.f64 (+.f64 x.im x.re) (-.f64 x.im x.re)))) (/.f64 #s(literal -1 binary64) (-.f64 x.im x.re))) (*.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))))
(+.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))
Outputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))
Calls

2 calls:

172.0ms
(+.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))
11.0ms
x.im
Results
AccuracySegmentsBranch
99.7%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))
99.7%2x.im
Compiler

Compiled 20 to 13 computations (35% saved)

regimes12.0ms (0.1%)

Memory
12.1MiB live, 12.1MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.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 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.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.im x.re) (*.f64 #s(literal 3 binary64) 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 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) #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.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re 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))
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) #s(approx (* (* (+ x.re x.im) x.im) (- x.re x.im)) (*.f64 (*.f64 x.re x.re) x.im)))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (*.f64 #s(literal 2 binary64) (*.f64 x.re x.re))))
Outputs
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (*.f64 #s(literal 2 binary64) (*.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))))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))
Calls

2 calls:

6.0ms
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
99.5%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)

regimes6.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.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 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.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.im x.re) (*.f64 #s(literal 3 binary64) 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 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) #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.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re 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))
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 2 binary64) x.im) #s(approx (* (* (+ x.re x.im) x.im) (- x.re x.im)) (*.f64 (*.f64 x.re x.re) x.im)))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (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 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))
Calls

1 calls:

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
99.8%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)

regimes10.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
Counts
14 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.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 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.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.im x.re) (*.f64 #s(literal 3 binary64) 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 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) #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.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))
Outputs
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.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))))
(fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))
Calls

2 calls:

5.0ms
x.im
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
91.0%2x.im
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 20 to 13 computations (35% saved)

regimes80.0ms (1%)

Memory
-37.2MiB live, 17.3MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.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 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.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.im x.re) (*.f64 #s(literal 3 binary64) 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 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) #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.re) x.im) #s(literal 3 binary64)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im))
Outputs
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.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.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im))
Calls

2 calls:

75.0ms
(+.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))
4.0ms
x.re
Results
AccuracySegmentsBranch
88.6%2x.re
95.0%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes4.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.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 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.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.im x.re) (*.f64 #s(literal 3 binary64) 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 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) #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.re) x.im) #s(literal 3 binary64)))
Outputs
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.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.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
Calls

1 calls:

4.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
94.6%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes6.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 x.im (-.f64 #s(literal 2 binary64) (*.f64 x.im x.im))))
Outputs
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
Calls

3 calls:

2.0ms
x.im
2.0ms
x.re
2.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
75.0%2x.re
59.3%1x.im
75.7%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)

regimes4.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
x.im
1.0ms
x.re
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
22.8%1x.im
22.8%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))
22.8%1x.re
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch4.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
4.0ms
1.004010143840511e-5
0.00021570111120765916
Samples
2.0ms32×0valid
Compiler

Compiled 124 to 80 computations (35.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (65.7% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
1.2916189039047598e+77
2.725462927110801e+77
Samples
1.0ms16×0valid
Compiler

Compiled 51 to 36 computations (29.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-mult: 1.0ms (136.2% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.9571172795208822e+237
7.038219343093586e+237
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
1.9571172795208822e+237
7.038219343093586e+237
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch5.0ms (0.1%)

Memory
-38.1MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
4.0ms
+inf
NaN
0.0ms
-5e-324
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-5e-324
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-5e-324
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch14.0ms (0.2%)

Memory
11.7MiB live, 11.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
12.0ms
6.742106112432092e+77
7.106910415519716e+79
Samples
8.0ms112×0valid
Compiler

Compiled 344 to 226 computations (34.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (76.7% of total)
ival-add: 1.0ms (19.2% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify522.0ms (6.7%)

Memory
-4.9MiB live, 33.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095722
1128722
2138722
3147722
4150722
5151722
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x.im #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re 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 (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)))))
(if (<=.f64 x.im #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re 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 1999999999999999880410922628661898315278071538678791126563081649282576329786278649903494429373980989335230656744102661120760849164891004524770093991532804965215587000511156188226262818135277000436526957289547395541658627807309398372515840 binary64)) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (*.f64 #s(literal 2 binary64) (*.f64 x.re 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 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re 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 1999999999999999880410922628661898315278071538678791126563081649282576329786278649903494429373980989335230656744102661120760849164891004524770093991532804965215587000511156188226262818135277000436526957289547395541658627807309398372515840 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 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re 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 -1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.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)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re 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 -1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.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 (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #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 -1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.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 (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 x.re #s(literal 69999999999999996069415967724962592404255642689199354410126306696851159204757504 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
Outputs
(if (<=.f64 x.im #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re 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 (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)))))
(if (<=.f64 x.im #s(literal 5902958103587057/295147905179352825856 binary64)) (+.f64 (*.f64 (*.f64 (+.f64 x.im x.im) x.re) x.re) (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.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 (pow.f64 x.im #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)))))
(if (<=.f64 x.im #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im)))
(if (<=.f64 x.im #s(literal 199999999999999996556522545109171713495495289428031795107950240435622308216832 binary64)) (+.f64 (*.f64 (*.f64 (+.f64 x.im x.im) x.re) x.re) (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 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)))
(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 1999999999999999880410922628661898315278071538678791126563081649282576329786278649903494429373980989335230656744102661120760849164891004524770093991532804965215587000511156188226262818135277000436526957289547395541658627807309398372515840 binary64)) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) (*.f64 #s(literal 2 binary64) (*.f64 x.re 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 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal 1999999999999999880410922628661898315278071538678791126563081649282576329786278649903494429373980989335230656744102661120760849164891004524770093991532804965215587000511156188226262818135277000436526957289547395541658627807309398372515840 binary64)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64))) x.im) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) 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)) (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 1999999999999999880410922628661898315278071538678791126563081649282576329786278649903494429373980989335230656744102661120760849164891004524770093991532804965215587000511156188226262818135277000436526957289547395541658627807309398372515840 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 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal 1999999999999999880410922628661898315278071538678791126563081649282576329786278649903494429373980989335230656744102661120760849164891004524770093991532804965215587000511156188226262818135277000436526957289547395541658627807309398372515840 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.im) (*.f64 x.re x.im)) 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)) (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 -1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.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)))) (fma.f64 (-.f64 x.re x.im) (*.f64 x.im (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.im))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) 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)) (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 -1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.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 (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) 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 (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #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 -1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.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 (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -1/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im)) 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 (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))))
(if (<=.f64 x.re #s(literal 69999999999999996069415967724962592404255642689199354410126306696851159204757504 binary64)) #s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)) #s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))

soundness1.8s (23.1%)

Memory
-120.5MiB live, 733.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046224
072214
1247182
01375177
057180
1182170
2586170
32560170
46935170
08454170
044269
070241
1269209
21684209
08405204
03571206
11201880
24862791
08190762
046228
073228
1287200
22093200
09084197
01154
02054
17942
053641
02501039
1792897
22533828
08221801
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
iter limit
unsound
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 2 201 to 765 computations (65.2% saved)

preprocess159.0ms (2%)

Memory
-4.3MiB live, 185.8MiB allocated
Remove

(abs x.re)

Compiler

Compiled 1 846 to 418 computations (77.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...