math.cube on complex, imaginary part

Time bar (total: 6.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample1.6s (22.6%)

Memory
-111.9MiB live, 1 331.4MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 774.0ms
ival-mult: 657.0ms (84.9% of total)
ival-add: 73.0ms (9.4% of total)
ival-sub: 35.0ms (4.5% of total)
ival-true: 6.0ms (0.8% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain451.0ms (6.5%)

Memory
-27.6MiB live, 136.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
190-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
150-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
120-0-(+.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))
00-0-(*.f64 x.re x.im)
00-0-(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
00-0-(*.f64 x.im x.im)
00-0-(*.f64 x.re x.re)
00-0-(*.f64 x.im x.re)
00-0-(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
00-0-x.re
00-0-x.im
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)n*o190
-.f64(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))nan-rescue150
(*.f64 x.re x.re)overflow71
(*.f64 x.im x.im)overflow56
+.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-rescue120
(*.f64 x.re x.re)overflow71
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow112
(*.f64 x.im x.im)overflow56
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)overflow108
(*.f64 x.im x.re)overflow32
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)overflow60
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))overflow32
(*.f64 x.re x.im)overflow32
Confusion
Predicted +Predicted -
+410
-0215
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4100
-00215
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0215
136
25
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
91.0ms512×0valid
Compiler

Compiled 218 to 48 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 68.0ms (90.6% of total)
ival-add: 4.0ms (5.3% of total)
ival-sub: 2.0ms (2.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess311.0ms (4.5%)

Memory
7.4MiB live, 97.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
031107
19989
230085
3127357
4360355
5558855
6648655
7686955
8698955
9709355
10710055
01119
02019
13417
26917
315511
436711
5103911
6195411
7517711
8756611
0801111
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))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) x.im)
Symmetry

(abs x.re)

(negabs x.im)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.3%
(+.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)

simplify294.0ms (4.2%)

Memory
-6.9MiB live, 70.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
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))
cost-diff704
(+.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))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01165
02065
13459
26959
315553
436753
5103953
6195453
7517753
8756653
0801153
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))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) x.im)
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(*.f64 x.re x.re)
x.re
(*.f64 x.im x.im)
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(literal 2 binary64) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.im x.re)

localize80.0ms (1.2%)

Memory
-10.5MiB live, 26.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.15234375
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy3.08200647996247
(+.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))
accuracy3.2499896791510294
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy4.542046918262675
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
Samples
20.0ms256×0valid
Compiler

Compiled 132 to 24 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 9.0ms (74.1% of total)
ival-add: 2.0ms (16.5% of total)
ival-sub: 1.0ms (8.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
14.4MiB live, 14.4MiB allocated
Counts
5 → 22
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 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 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 2 (* x.im x.re))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* 2 (* x.im (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))))
(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)))))
(* 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))))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* (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) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 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
3.0ms
x.im
@-inf
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.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))
2.0ms
x.im
@0
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.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))
2.0ms
x.im
@inf
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.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))
2.0ms
x.re
@0
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.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))
2.0ms
x.re
@inf
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.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))

simplify203.0ms (2.9%)

Memory
4.3MiB live, 89.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057198
1182192
2585192
32566192
47286192
08076187
Stop Event
iter limit
node limit
Counts
22 → 22
Calls
Call 1
Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 2 (* x.im x.re))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* 2 (* x.im (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))))
(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)))))
(* 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))))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* (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) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 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)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im)
(* 2 (* x.im x.re))
(*.f64 (*.f64 x.im x.re) #s(literal 2 binary64))
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(- (pow x.re 2) (pow x.im 2))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(*.f64 (*.f64 x.im (+.f64 x.im x.re)) (-.f64 x.re x.im))
(* 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 (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im)
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.im x.re) x.re)
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (*.f64 x.im (+.f64 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) #s(literal 3 binary64)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(*.f64 (-.f64 x.re x.im) (+.f64 x.im 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))
(* (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) #s(literal 3 binary64)) (/.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) (- (/ (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)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 (fma.f64 (*.f64 (/.f64 x.re x.im) #s(literal 3 binary64)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))

rewrite96.0ms (1.4%)

Memory
-14.0MiB live, 24.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01151
02051
17939
054038
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
5 → 77
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 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 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
Outputs
(*.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 #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 (*.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 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 #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 x.im (*.f64 x.re x.re) (*.f64 x.im (*.f64 (neg.f64 x.im) x.im)))
(fma.f64 (*.f64 x.re x.re) x.im (*.f64 (*.f64 (neg.f64 x.im) 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 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re)
(*.f64 x.re (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 0 binary64))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(/.f64 (*.f64 x.re #s(literal 0 binary64)) #s(literal 0 binary64))
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))
(fma.f64 (*.f64 x.im x.re) x.re (*.f64 (*.f64 x.im x.re) x.re))
(fma.f64 x.re (*.f64 x.im x.re) (*.f64 x.re (*.f64 x.im x.re)))
(+.f64 (*.f64 (*.f64 x.im x.re) x.re) (*.f64 (*.f64 x.im x.re) x.re))
(+.f64 (*.f64 x.re (*.f64 x.im x.re)) (*.f64 x.re (*.f64 x.im x.re)))

eval8.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Compiler

Compiled 2 351 to 322 computations (86.3% saved)

prune6.0ms (0.1%)

Memory
6.6MiB live, 6.6MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New81990
Fresh000
Picked101
Done000
Total82991
Accuracy
100.0%
Counts
91 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.8%
(+.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))
40.1%
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
84.3%
(+.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))
51.6%
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
58.5%
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) x.re)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
74.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 (/.f64 x.re x.im) #s(literal 3 binary64)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
51.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
91.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
55.4%
#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))))
Compiler

Compiled 482 to 272 computations (43.6% saved)

simplify272.0ms (3.9%)

Memory
-12.0MiB live, 69.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
042369
065365
1128327
2271317
3806295
42671295
55091295
08034289
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
(*.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im)
(neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))
x.im
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
#s(literal -3 binary64)
(*.f64 x.re x.re)
x.re
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.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
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) 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 x.re x.re)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
#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)
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im)
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im)))
(pow.f64 x.re #s(literal 4 binary64))
x.re
#s(literal 4 binary64)
(*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
(-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(*.f64 x.re x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 (fma.f64 x.im x.im (*.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 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))))
(*.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im)
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))
(neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(neg.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))
(fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))
(fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))
x.im
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))
#s(literal -3 binary64)
(*.f64 x.re x.re)
x.re
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.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 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)
(*.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
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) 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 x.re x.re))) x.im)
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
(*.f64 x.re x.re)
x.re
x.im
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 x.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)
#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))))
#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)))
(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 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (fma.f64 #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.im x.im (*.f64 x.re x.re)))) x.im)
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im)
(*.f64 (/.f64 x.im (fma.f64 x.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)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im)))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(pow.f64 x.re #s(literal 4 binary64))
x.re
#s(literal 4 binary64)
(*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))
(pow.f64 x.im #s(literal 4 binary64))
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
(-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(*.f64 x.re x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.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)

localize146.0ms (2.1%)

Memory
-8.6MiB live, 64.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy3.08200647996247
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy4.542046918262675
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im)
accuracy6.234356422471853
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im)))
accuracy42.738425274997454
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
accuracy0.0
(pow.f64 x.im #s(literal 3 binary64))
accuracy0.0
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
accuracy28.548489862450356
#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))))
accuracy0.15234375
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy3.08200647996247
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy4.542046918262675
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
accuracy28.204383240354375
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
accuracy0.0
(*.f64 x.re x.re)
accuracy0.14453125
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
accuracy8.500752163578559
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im)
accuracy26.477431028478648
#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))
accuracy0.0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
accuracy0.14453125
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
accuracy1.253892488027801
(fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))
accuracy4.555866136682384
(*.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im)
Samples
83.0ms256×0valid
Compiler

Compiled 706 to 75 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-pow: 34.0ms (52.1% of total)
ival-mult: 19.0ms (29.1% of total)
ival-add: 4.0ms (6.1% of total)
ival-sub: 3.0ms (4.6% of total)
ival-neg: 3.0ms (4.6% of total)
ival-div: 2.0ms (3.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series62.0ms (0.9%)

Memory
17.3MiB live, 55.6MiB allocated
Counts
22 → 51
Calls
Call 1
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
(*.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im)
(neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(fma.f64 x.im x.im (*.f64 #s(literal -3 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 (*.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)
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (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 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im)
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im)))
Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* -1 (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* 3 (* x.im (pow x.re 2)))
(* 3 (pow x.re 2))
(pow x.re 2)
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(- (pow x.re 2) (pow x.im 2))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(- (pow x.re 2) (* -1 (pow x.im 2)))
(* -3 (pow x.re 2))
(* 2 (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* -1 (pow x.im 4))
(- (pow x.re 4) (pow x.im 4))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* 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) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(- (* -1 (pow x.im 2)) (* -3 (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.im 3)
(+ (pow x.im 2) (pow x.re 2))
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
Calls

6 calls:

TimeVariablePointExpression
43.0ms
x.im
@inf
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) 3) x.im) (* (* x.re x.re) 3) (* 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 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)) (neg (pow x.im 3)) (pow x.im 3) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))
4.0ms
x.re
@inf
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) 3) x.im) (* (* x.re x.re) 3) (* 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 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)) (neg (pow x.im 3)) (pow x.im 3) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))
4.0ms
x.re
@0
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) 3) x.im) (* (* x.re x.re) 3) (* 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 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)) (neg (pow x.im 3)) (pow x.im 3) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))
4.0ms
x.im
@-inf
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) 3) x.im) (* (* x.re x.re) 3) (* 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 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)) (neg (pow x.im 3)) (pow x.im 3) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))
3.0ms
x.im
@0
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) x.im) (neg (+ (* x.im x.im) (* -3 (* x.re x.re)))) (+ (* x.im x.im) (* -3 (* x.re x.re))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) 3) x.im) (* (* x.re x.re) 3) (* 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 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)) (neg (pow x.im 3)) (pow x.im 3) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* -3 (* x.re x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))

simplify303.0ms (4.4%)

Memory
19.4MiB live, 177.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112423
1341402
2938402
34839402
08466395
Stop Event
iter limit
node limit
Counts
51 → 51
Calls
Call 1
Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* -1 (pow x.im 2))
(- (* 3 (pow x.re 2)) (pow x.im 2))
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* 3 (* x.im (pow x.re 2)))
(* 3 (pow x.re 2))
(pow x.re 2)
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(- (pow x.re 2) (pow x.im 2))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(- (pow x.re 2) (* -1 (pow x.im 2)))
(* -3 (pow x.re 2))
(* 2 (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* -1 (pow x.im 4))
(- (pow x.re 4) (pow x.im 4))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* 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) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(- (* -1 (pow x.im 2)) (* -3 (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(pow x.im 3)
(+ (pow x.im 2) (pow x.re 2))
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
Outputs
(* -1 (pow x.im 3))
(pow.f64 (neg.f64 x.im) #s(literal 3 binary64))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(- (* 3 (pow x.re 2)) (pow x.im 2))
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)))
(pow x.im 2)
(*.f64 x.im x.im)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 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 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(pow x.re 2)
(*.f64 x.re x.re)
(* 2 (* x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(+ (* -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) (pow x.im 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(- (pow x.re 2) (* -1 (pow x.im 2)))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(* -3 (pow x.re 2))
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 2 binary64))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* -1 (pow x.im 4))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(- (pow x.re 4) (pow x.im 4))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 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))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* (pow x.re 2) (+ 3 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))
(* 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) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(fma.f64 x.im x.im (*.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 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* 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 (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(- (* -1 (pow x.im 2)) (* -3 (pow x.re 2)))
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)))
(* 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))
(pow x.im 3)
(pow.f64 x.im #s(literal 3 binary64))
(+ (pow x.im 2) (pow x.re 2))
(fma.f64 x.im x.im (*.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) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* (pow x.im 2) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))
(* (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 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) (- (+ (* -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 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(fma.f64 x.im x.im (*.f64 x.re x.re))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* -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 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 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))

rewrite419.0ms (6%)

Memory
8.9MiB live, 276.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042301
065284
1247220
21673219
08515208
Stop Event
iter limit
node limit
iter limit
Counts
22 → 924
Calls
Call 1
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
(*.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im)
(neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))))
(fma.f64 x.im x.im (*.f64 #s(literal -3 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 (*.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)
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im)
#s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (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 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im)
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im)))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))))
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) x.im))
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))
(*.f64 (neg.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))) x.im)
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) (neg.f64 x.im))
(*.f64 x.im (neg.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) x.im) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) x.im) (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) x.im)))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 9 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) #s(literal 3 binary64))) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)) (*.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)))))
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))))
(neg.f64 (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) x.im))
(fma.f64 (pow.f64 (*.f64 (neg.f64 x.im) #s(literal -1 binary64)) #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (neg.f64 x.im) x.im) #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x.im) #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (*.f64 (*.f64 (neg.f64 x.im) x.im) #s(literal -1 binary64)) x.im (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (pow.f64 x.im #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64)))))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x.im #s(literal 3/2 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (pow.f64 x.im #s(literal 3/2 binary64)) (pow.f64 x.im #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) (neg.f64 x.im) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (neg.f64 x.im) (*.f64 (neg.f64 x.im) x.im) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (neg.f64 x.im) (*.f64 x.im x.im) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (*.f64 x.im x.im) (neg.f64 x.im) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (*.f64 x.im x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 x.im (*.f64 (neg.f64 x.im) x.im) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 x.im (*.f64 x.im x.im) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) x.im))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))))
(+.f64 (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(*.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))))) (pow.f64 (fma.f64 x.im x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (pow.f64 (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))))))
(*.f64 (-.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))))) (pow.f64 (fma.f64 x.im x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (pow.f64 (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))))
(*.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))))
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))
(*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.im #s(literal 4 binary64))))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64))) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 x.im x.im)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x.im x.im) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -1 binary64)) (*.f64 (*.f64 x.im x.im) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 x.im x.im) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x.im x.im) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x.im x.im) #s(literal -1 binary64)) (*.f64 (*.f64 x.im x.im) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x.im x.im) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal -3 binary64)) #s(literal -1 binary64))))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (*.f64 (neg.f64 x.im) x.im)))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))) (neg.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))) (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))))) (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)))))) (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))))) (neg.f64 (+.f64 (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)) #s(literal -3 binary64))) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.im #s(literal 6 binary64)) (*.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64))))) (neg.f64 (+.f64 (pow.f64 x.im #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)))))))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))))) (fma.f64 x.im x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))))
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(*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.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 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64))))))
(*.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)))
(*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (fma.f64 x.im x.im (*.f64 x.re x.re)))
(pow.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 (-.f64 (pow.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (fma.f64 (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (*.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))))))))
(/.f64 (+.f64 (pow.f64 x.im #s(literal 12 binary64)) (pow.f64 x.re #s(literal 12 binary64))) (+.f64 (pow.f64 x.im #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 (*.f64 x.im 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.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (pow.f64 x.im #s(literal 8 binary64)))) (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))) (pow.f64 x.im #s(literal 12 binary64)))) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64)))) (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.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 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.im x.re) #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) (/.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 #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)))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (+.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.im #s(literal 8 binary64)) (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 x.im #s(literal 12 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))))
(/.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re)) (pow.f64 (fma.f64 x.im x.im (*.f64 x.re x.re)) #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 (*.f64 (neg.f64 x.im) x.im))) (exp.f64 (log.f64 (*.f64 (neg.f64 x.im) x.im))) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (pow.f64 (*.f64 (neg.f64 x.im) #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 3 binary64)) x.re (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 #s(literal 1 binary64) (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x.re #s(literal 12 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))))))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (neg.f64 x.im) (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) (neg.f64 x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (pow.f64 x.im #s(literal 3 binary64)) x.im (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (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 (*.f64 x.im x.im) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 x.im (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 x.re (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(+.f64 (/.f64 (pow.f64 x.re #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 x.im #s(literal 8 binary64)) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (neg.f64 (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.im x.re) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64))))))
(+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))

eval145.0ms (2.1%)

Memory
-6.4MiB live, 221.2MiB allocated
Compiler

Compiled 39 802 to 3 495 computations (91.2% saved)

prune32.0ms (0.5%)

Memory
10.2MiB live, 128.8MiB allocated
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New9739982
Fresh404
Picked235
Done000
Total97912991
Accuracy
100.0%
Counts
991 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.4%
(+.f64 (*.f64 (*.f64 (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
51.6%
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
84.3%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)))
87.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))))
51.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
55.3%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
51.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
58.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
21.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im))
91.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
58.5%
#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))))
55.4%
#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))))
Compiler

Compiled 586 to 335 computations (42.8% saved)

simplify236.0ms (3.4%)

Memory
-23.2MiB live, 240.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)
cost-diff0
(neg.f64 x.im)
cost-diff0
(*.f64 (neg.f64 x.im) 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)) (fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)))
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-diff-5824
(*.f64 (*.f64 x.im x.im) x.im)
cost-diff0
(*.f64 x.im 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.im x.im) x.im))
cost-diff0
(fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))
cost-diff0
(neg.f64 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 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034268
050268
195246
2170246
3351216
4785216
51884216
63301216
76008216
87769216
08041216
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))))
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))))
(neg.f64 x.im)
x.im
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))
#s(literal 1 binary64)
(fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
#s(literal -3 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 (*.f64 x.im x.im) x.im))
(*.f64 (*.f64 x.im x.im) x.im)
(*.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))))
(*.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
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
#s(literal 3 binary64)
(*.f64 x.re x.re)
x.re
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 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)) (fma.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))))
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))))
(fma.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(neg.f64 x.im)
x.im
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)))
#s(literal 1 binary64)
(fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))
(fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 x.re x.re)
x.re
#s(literal -3 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 (*.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 x.im #s(literal 3 binary64)))
(*.f64 (*.f64 x.im x.im) x.im)
(pow.f64 x.im #s(literal 3 binary64))
(*.f64 x.im x.im)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
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 x.re x.re) x.im) #s(literal 3 binary64)))
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 x.re x.re)
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)) (fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.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)) (fma.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64))))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64) (pow.f64 (neg.f64 x.im) #s(literal 3 binary64)))
(*.f64 (neg.f64 x.im) x.im)
(neg.f64 x.im)
x.im
(*.f64 (*.f64 #s(literal 3 binary64) (*.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 x.re x.re))
#s(literal 3 binary64)
(*.f64 x.re x.re)
x.re

localize75.0ms (1.1%)

Memory
-19.5MiB live, 140.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)))
accuracy0.14453125
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
accuracy5.03122522996247
(fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
accuracy8.500752163578559
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)
accuracy0.0
(*.f64 x.re x.re)
accuracy0.0
(*.f64 #s(literal 3 binary64) x.im)
accuracy8.520811881075657
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
accuracy26.477431028478648
#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)))
accuracy0.0
(*.f64 #s(literal 3 binary64) x.im)
accuracy0.12109375
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
accuracy0.1328125
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
accuracy26.477431028478648
#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))))
accuracy0.0
(*.f64 x.im x.im)
accuracy0.0625
(*.f64 (*.f64 x.im x.im) x.im)
accuracy50.184635273760286
#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.im) x.im))
accuracy0.0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))))
accuracy0.6387958507448365
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))
accuracy3.589823108302058
(fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))
accuracy4.212398960019695
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))))
Samples
55.0ms256×0valid
Compiler

Compiled 492 to 65 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 39.0ms
ival-mult: 24.0ms (61.3% of total)
ival-div: 8.0ms (20.4% of total)
ival-add: 4.0ms (10.2% of total)
ival-sub: 1.0ms (2.6% of total)
ival-neg: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
38.2MiB live, 38.2MiB allocated
Counts
20 → 40
Calls
Call 1
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))))
(neg.f64 x.im)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))
(fma.f64 (*.f64 x.re x.re) #s(literal -3 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 (*.f64 x.im x.im) x.im))
(*.f64 x.im x.im)
(*.f64 (*.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))))
(*.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)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)))
(*.f64 (neg.f64 x.im) x.im)
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(/ 1 (pow x.im 2))
(+ (* 3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(+ (* (pow x.re 2) (+ (* 9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(+ (* (pow x.re 2) (+ (* (pow x.re 2) (+ (* 27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* 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))))
(/ -1/3 (pow x.re 2))
(/ (- (* -1/9 (/ (pow x.im 2) (pow x.re 2))) 1/3) (pow x.re 2))
(/ (- (* -1/27 (/ (pow x.im 4) (pow x.re 4))) (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/ (- (* -1/81 (/ (pow x.im 6) (pow x.re 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.im 4) (pow x.re 4))) (* 1/9 (/ (pow x.im 2) (pow x.re 2)))))) (pow x.re 2))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 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))))
(* -1 x.im)
(- (* -1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(- (* (pow x.im 2) (- (* -1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(- (* (pow x.im 2) (- (* (pow x.im 2) (- (* -1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(pow x.im 3)
(* 3 x.im)
(* -1 (pow x.im 2))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(/ (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (* 27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x.im
@-inf
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))) (+ (* (* x.re x.re) -3) (* 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.im x.im) (* (* 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 (* 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) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (* (* 3 (* x.re x.re)) x.im) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im)))) (+ (* (* (neg x.im) x.im) x.im) (* (* 3 (* x.re x.re)) x.im)) (* 3 (* x.re x.re)))
3.0ms
x.im
@inf
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))) (+ (* (* x.re x.re) -3) (* 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.im x.im) (* (* 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 (* 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) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (* (* 3 (* x.re x.re)) x.im) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im)))) (+ (* (* (neg x.im) x.im) x.im) (* (* 3 (* x.re x.re)) x.im)) (* 3 (* x.re x.re)))
3.0ms
x.re
@inf
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))) (+ (* (* x.re x.re) -3) (* 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.im x.im) (* (* 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 (* 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) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (* (* 3 (* x.re x.re)) x.im) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im)))) (+ (* (* (neg x.im) x.im) x.im) (* (* 3 (* x.re x.re)) x.im)) (* 3 (* x.re x.re)))
3.0ms
x.im
@0
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))) (+ (* (* x.re x.re) -3) (* 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.im x.im) (* (* 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 (* 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) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (* (* 3 (* x.re x.re)) x.im) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im)))) (+ (* (* (neg x.im) x.im) x.im) (* (* 3 (* x.re x.re)) x.im)) (* 3 (* x.re x.re)))
2.0ms
x.re
@0
((+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))) (+ (* (* x.re x.re) -3) (* 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.im x.im) (* (* 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 (* 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) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (neg x.im) x.im) (* (* 3 (* x.re x.re)) x.im) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im)))) (+ (* (* (neg x.im) x.im) x.im) (* (* 3 (* x.re x.re)) x.im)) (* 3 (* x.re x.re)))

simplify163.0ms (2.4%)

Memory
-19.7MiB live, 210.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0154519
1434509
21261509
34693509
08351482
Stop Event
iter limit
node limit
Counts
40 → 40
Calls
Call 1
Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(/ 1 (pow x.im 2))
(+ (* 3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(+ (* (pow x.re 2) (+ (* 9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(+ (* (pow x.re 2) (+ (* (pow x.re 2) (+ (* 27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(* 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))))
(/ -1/3 (pow x.re 2))
(/ (- (* -1/9 (/ (pow x.im 2) (pow x.re 2))) 1/3) (pow x.re 2))
(/ (- (* -1/27 (/ (pow x.im 4) (pow x.re 4))) (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/ (- (* -1/81 (/ (pow x.im 6) (pow x.re 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.im 4) (pow x.re 4))) (* 1/9 (/ (pow x.im 2) (pow x.re 2)))))) (pow x.re 2))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* 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))))
(* -1 x.im)
(- (* -1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(- (* (pow x.im 2) (- (* -1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(- (* (pow x.im 2) (- (* (pow x.im 2) (- (* -1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(pow x.im 3)
(* 3 x.im)
(* -1 (pow x.im 2))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(/ (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (* 27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
Outputs
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(/ 1 (pow x.im 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
(+ (* 3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal 1 binary64)) (*.f64 x.im x.im))
(+ (* (pow x.re 2) (+ (* 9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 6 binary64))) x.re) x.re (/.f64 #s(literal 3 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) (+ (* 27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 27 binary64) x.re) (/.f64 x.re (pow.f64 x.im #s(literal 8 binary64))) (/.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 x.re x.re) (/.f64 #s(literal 3 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.im 2)
(*.f64 x.im x.im)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* 3 (pow x.re 2))
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(/ -1/3 (pow x.re 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.re x.re))
(/ (- (* -1/9 (/ (pow x.im 2) (pow x.re 2))) 1/3) (pow x.re 2))
(fma.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x.re #s(literal 4 binary64))) x.im) x.im (/.f64 #s(literal -1/3 binary64) (*.f64 x.re x.re)))
(/ (- (* -1/27 (/ (pow x.im 4) (pow x.re 4))) (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/.f64 (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) (/.f64 #s(literal -1/27 binary64) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re) #s(literal -1/3 binary64))) (*.f64 x.re x.re))
(/ (- (* -1/81 (/ (pow x.im 6) (pow x.re 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.im 4) (pow x.re 4))) (* 1/9 (/ (pow x.im 2) (pow x.re 2)))))) (pow x.re 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) #s(literal -1/81 binary64) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) (/.f64 #s(literal -1/27 binary64) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re) #s(literal -1/3 binary64)))) (*.f64 x.re x.re))
(* -3 (pow x.re 2))
(*.f64 #s(literal -3 binary64) (*.f64 x.re x.re))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(*.f64 (fma.f64 (/.f64 (/.f64 x.im x.re) x.re) x.im #s(literal -3 binary64)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* -1 x.im)
(neg.f64 x.im)
(- (* -1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(fma.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x.re #s(literal 4 binary64))) x.im) x.im (/.f64 #s(literal -1/3 binary64) (*.f64 x.re x.re)))
(- (* (pow x.im 2) (- (* -1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 x.re #s(literal 6 binary64))) x.im) x.im (/.f64 #s(literal -1/9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 x.im x.im) (/.f64 #s(literal -1/3 binary64) (*.f64 x.re x.re)))
(- (* (pow x.im 2) (- (* (pow x.im 2) (- (* -1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/81 binary64) x.im) (/.f64 x.im (pow.f64 x.re #s(literal 8 binary64))) (/.f64 #s(literal -1/27 binary64) (pow.f64 x.re #s(literal 6 binary64)))) (*.f64 x.im x.im) (/.f64 #s(literal -1/9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 x.im x.im) (/.f64 #s(literal -1/3 binary64) (*.f64 x.re x.re)))
(pow x.im 3)
(pow.f64 x.im #s(literal 3 binary64))
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 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 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(/ (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal 1 binary64)) (*.f64 x.im x.im))
(/ (- (+ 1 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 x.im x.im))
(/ (- (+ 1 (* 27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) (fma.f64 (pow.f64 x.re #s(literal 6 binary64)) (/.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 1 binary64)))) (*.f64 x.im x.im))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im))

rewrite90.0ms (1.3%)

Memory
10.9MiB live, 105.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034240
050234
1176210
01128203
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
20 → 184
Calls
Call 1
Inputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))))
(neg.f64 x.im)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im)))
(fma.f64 (*.f64 x.re x.re) #s(literal -3 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 (*.f64 x.im x.im) x.im))
(*.f64 x.im x.im)
(*.f64 (*.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))))
(*.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)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)))
(*.f64 (neg.f64 x.im) x.im)
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) (neg.f64 x.im)))
(*.f64 #s(literal -1 binary64) (/.f64 x.im #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x.im)
(*.f64 (neg.f64 x.im) #s(literal 1 binary64))
(*.f64 x.im #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x.im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x.im x.im (*.f64 #s(literal 0 binary64) x.im))))
(/.f64 (*.f64 (neg.f64 x.im) x.im) (+.f64 #s(literal 0 binary64) x.im))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 x.im)))
(/.f64 (neg.f64 x.im) #s(literal 1 binary64))
(/.f64 x.im #s(literal -1 binary64))
(neg.f64 (/.f64 x.im #s(literal 1 binary64)))
(neg.f64 x.im)
(-.f64 #s(literal 0 binary64) (/.f64 x.im #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) x.im)
(+.f64 #s(literal 0 binary64) (neg.f64 x.im))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64))) (pow.f64 x.im #s(literal 4 binary64)))) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64)))) (fma.f64 #s(literal 9 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 x.im #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))))
(*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) #s(literal 2 binary64)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (pow.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.re) x.im))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (pow.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.re) x.im))) (-.f64 (pow.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) (-.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (pow.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)))))
(fma.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.im x.re) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 x.re x.re) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (*.f64 x.im x.im) (neg.f64 x.im) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 (neg.f64 x.im) (*.f64 x.im x.im) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 x.im (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(fma.f64 x.im (*.f64 (neg.f64 x.im) x.im) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(fma.f64 x.re (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) (*.f64 (*.f64 x.re x.re) x.im)))))
(+.f64 (neg.f64 (pow.f64 x.im #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)
(*.f64 #s(literal 3 binary64) (*.f64 x.re x.re))
(*.f64 (*.f64 x.re x.re) #s(literal 3 binary64))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.re))

eval27.0ms (0.4%)

Memory
-17.8MiB live, 57.3MiB allocated
Compiler

Compiled 8 214 to 778 computations (90.5% saved)

prune20.0ms (0.3%)

Memory
-4.9MiB live, 38.8MiB allocated
Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New2213224
Fresh134
Picked145
Done033
Total22313236
Accuracy
100.0%
Counts
236 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.4%
(+.f64 (*.f64 (*.f64 (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
84.3%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)))
55.3%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))))
86.7%
#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 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) x.im)))
51.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
55.3%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
51.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
58.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
21.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im))
58.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re))
91.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
58.5%
#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))))
55.4%
#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))))
Compiler

Compiled 564 to 322 computations (42.9% saved)

simplify181.0ms (2.6%)

Memory
16.0MiB live, 176.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))
cost-diff0
(neg.f64 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 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))))
cost-diff1088
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im))))
cost-diff0
(*.f64 #s(literal 3 binary64) x.re)
cost-diff0
(*.f64 x.im x.re)
cost-diff0
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))
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.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
cost-diff0
(*.f64 x.im x.re)
cost-diff0
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
cost-diff0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re))
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.re x.re) (* x.im 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 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)))
cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) x.im)))
cost-diff1664
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) x.im))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
039307
057303
1101285
2183279
3374249
4917249
52263249
63295249
76811249
08081249
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) x.im)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) x.im))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) x.im)
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)))
#s(literal -1 binary64)
(fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))
#s(literal -3 binary64)
(*.f64 x.re x.re)
x.re
(*.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 (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 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
#s(literal 3 binary64)
(*.f64 x.im x.re)
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 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))
(*.f64 x.im x.re)
x.im
x.re
(*.f64 #s(literal 3 binary64) 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 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))))
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im))))
(neg.f64 x.im)
x.im
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))
#s(literal 1 binary64)
#s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im))
(*.f64 x.im 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.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 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) x.im))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) x.im)
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)))
#s(literal -1 binary64)
(fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))
#s(literal -3 binary64)
(*.f64 x.re x.re)
x.re
(*.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 (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 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.f64 (*.f64 x.im x.re) #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 x.im x.re)
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 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 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im))
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im)
(*.f64 x.im x.re)
x.im
x.re
(*.f64 #s(literal 3 binary64) 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 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* 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 #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im)))
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im))))
(*.f64 #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)) (neg.f64 x.im))
(neg.f64 x.im)
x.im
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))
#s(literal 1 binary64)
#s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im))
(*.f64 x.im x.im)

localize91.0ms (1.3%)

Memory
-7.7MiB live, 151.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))))
accuracy0.6387958507448365
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))
accuracy4.212398960019695
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im))))
accuracy31.55111574318586
#s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im))
accuracy0.0
(*.f64 x.im x.re)
accuracy0.0
(*.f64 #s(literal 3 binary64) x.re)
accuracy0.19140625
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))
accuracy26.477431028478648
#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)))
accuracy0.0
(*.f64 x.im x.re)
accuracy0.12109375
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
accuracy0.26171875
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
accuracy26.477431028478648
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re))
accuracy0.0
(*.f64 (neg.f64 x.im) x.im)
accuracy0.0
(neg.f64 x.im)
accuracy0.0625
(*.f64 (*.f64 (neg.f64 x.im) x.im) x.im)
accuracy28.548489862450356
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
accuracy0.3046147460816749
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) x.im))
accuracy0.6387958507448365
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im)))
accuracy3.589823108302058
(fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy4.475880103718441
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) x.im)
Samples
69.0ms256×0valid
Compiler

Compiled 551 to 73 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-div: 22.0ms (44.7% of total)
ival-mult: 20.0ms (40.6% of total)
ival-add: 4.0ms (8.1% of total)
ival-sub: 1.0ms (2% of total)
ival-neg: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
-3.5MiB live, 35.2MiB allocated
Counts
20 → 69
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) x.im)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) x.im)
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.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 (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 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.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 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))
(*.f64 #s(literal 3 binary64) x.re)
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* 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 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))
(fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))
#s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im))
Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(/ -1 (pow x.im 3))
(- (* -3 (/ (pow x.re 2) (pow x.im 5))) (/ 1 (pow x.im 3)))
(- (* (pow x.re 2) (- (* -9 (/ (pow x.re 2) (pow x.im 7))) (* 3 (/ 1 (pow x.im 5))))) (/ 1 (pow x.im 3)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -27 (/ (pow x.re 2) (pow x.im 9))) (* 9 (/ 1 (pow x.im 7))))) (* 3 (/ 1 (pow x.im 5))))) (/ 1 (pow x.im 3)))
(/ -1 (pow x.im 2))
(- (* -3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* -9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* x.im x.re)
(* 3 x.re)
(/ 1 (pow x.im 2))
(+ (* 3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(+ (* (pow x.re 2) (+ (* 9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(+ (* (pow x.re 2) (+ (* (pow x.re 2) (+ (* 27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(/ 1/3 (* x.im (pow x.re 2)))
(/ (+ (* 1/9 (/ x.im (pow x.re 2))) (* 1/3 (/ 1 x.im))) (pow x.re 2))
(/ (- (+ (* 1/27 (/ (pow x.im 3) (pow x.re 4))) (* 1/3 (/ 1 x.im))) (* -1/9 (/ x.im (pow x.re 2)))) (pow x.re 2))
(/ (- (+ (* 1/81 (/ (pow x.im 5) (pow x.re 6))) (* 1/3 (/ 1 x.im))) (+ (* -1/9 (/ x.im (pow x.re 2))) (* -1/27 (/ (pow x.im 3) (pow x.re 4))))) (pow x.re 2))
(/ 1/3 (pow x.re 2))
(/ (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/27 (/ (pow x.im 4) (pow x.re 4)))) (* -1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/81 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/9 (/ (pow x.im 2) (pow x.re 2))) (* -1/27 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))
(/ -1/3 (pow x.re 2))
(/ (- (* -1/9 (/ (pow x.im 2) (pow x.re 2))) 1/3) (pow x.re 2))
(/ (- (* -1/27 (/ (pow x.im 4) (pow x.re 4))) (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/ (- (* -1/81 (/ (pow x.im 6) (pow x.re 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.im 4) (pow x.re 4))) (* 1/9 (/ (pow x.im 2) (pow x.re 2)))))) (pow x.re 2))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (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))))
(/ (+ (* 1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2)))) x.im)
(/ (+ (* (pow x.im 2) (+ (* 1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2)))) x.im)
(/ (+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2)))) x.im)
(+ (* 1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(+ (* (pow x.im 2) (+ (* 1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(* -1 (pow x.im 2))
(* -1 x.im)
(- (* -1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(- (* (pow x.im 2) (- (* -1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(- (* (pow x.im 2) (- (* (pow x.im 2) (- (* -1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (* 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))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 3))
(/ (- (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) 1) (pow x.im 3))
(/ (- (+ (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) 1) (pow x.im 3))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))
(/ (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (* 27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (/ (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 3)))
(* -1 (/ (- (+ 1 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 3)))
(* -1 (/ (- (+ 1 (* 27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 3)))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x.im
@inf
((/ 1 (/ (/ -1 (+ (* -3 (* x.re x.re)) (* x.im x.im))) x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (/ -1 (+ (* -3 (* x.re x.re)) (* x.im x.im))) x.im) (/ -1 (+ (* -3 (* 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)) (* (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)) (* (* 3 (* x.im x.re)) x.re) (* 3 (* x.im x.re)) (* 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.im x.re) (* 3 x.re)) (* 3 x.re) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im)))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))) (+ (* -3 (* x.re x.re)) (* x.im x.im)) (+ (* (* x.re x.re) -3) (* x.im x.im)))
3.0ms
x.re
@inf
((/ 1 (/ (/ -1 (+ (* -3 (* x.re x.re)) (* x.im x.im))) x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (/ -1 (+ (* -3 (* x.re x.re)) (* x.im x.im))) x.im) (/ -1 (+ (* -3 (* 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)) (* (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)) (* (* 3 (* x.im x.re)) x.re) (* 3 (* x.im x.re)) (* 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.im x.re) (* 3 x.re)) (* 3 x.re) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im)))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))) (+ (* -3 (* x.re x.re)) (* x.im x.im)) (+ (* (* x.re x.re) -3) (* x.im x.im)))
3.0ms
x.im
@-inf
((/ 1 (/ (/ -1 (+ (* -3 (* x.re x.re)) (* x.im x.im))) x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (/ -1 (+ (* -3 (* x.re x.re)) (* x.im x.im))) x.im) (/ -1 (+ (* -3 (* 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)) (* (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)) (* (* 3 (* x.im x.re)) x.re) (* 3 (* x.im x.re)) (* 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.im x.re) (* 3 x.re)) (* 3 x.re) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im)))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))) (+ (* -3 (* x.re x.re)) (* x.im x.im)) (+ (* (* x.re x.re) -3) (* x.im x.im)))
3.0ms
x.im
@0
((/ 1 (/ (/ -1 (+ (* -3 (* x.re x.re)) (* x.im x.im))) x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (/ -1 (+ (* -3 (* x.re x.re)) (* x.im x.im))) x.im) (/ -1 (+ (* -3 (* 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)) (* (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)) (* (* 3 (* x.im x.re)) x.re) (* 3 (* x.im x.re)) (* 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.im x.re) (* 3 x.re)) (* 3 x.re) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im)))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))) (+ (* -3 (* x.re x.re)) (* x.im x.im)) (+ (* (* x.re x.re) -3) (* x.im x.im)))
2.0ms
x.re
@0
((/ 1 (/ (/ -1 (+ (* -3 (* x.re x.re)) (* x.im x.im))) x.im)) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ (/ -1 (+ (* -3 (* x.re x.re)) (* x.im x.im))) x.im) (/ -1 (+ (* -3 (* 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)) (* (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)) (* (* 3 (* x.im x.re)) x.re) (* 3 (* x.im x.re)) (* 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.im x.re) (* 3 x.re)) (* 3 x.re) (/ (neg x.im) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im)))) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/ 1 (+ (* (* x.re x.re) -3) (* x.im x.im))) (+ (* -3 (* x.re x.re)) (* x.im x.im)) (+ (* (* x.re x.re) -3) (* x.im x.im)))

simplify172.0ms (2.5%)

Memory
-1.7MiB live, 232.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02621241
17371235
222551235
082501150
Stop Event
iter limit
node limit
Counts
69 → 69
Calls
Call 1
Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(/ -1 (pow x.im 3))
(- (* -3 (/ (pow x.re 2) (pow x.im 5))) (/ 1 (pow x.im 3)))
(- (* (pow x.re 2) (- (* -9 (/ (pow x.re 2) (pow x.im 7))) (* 3 (/ 1 (pow x.im 5))))) (/ 1 (pow x.im 3)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -27 (/ (pow x.re 2) (pow x.im 9))) (* 9 (/ 1 (pow x.im 7))))) (* 3 (/ 1 (pow x.im 5))))) (/ 1 (pow x.im 3)))
(/ -1 (pow x.im 2))
(- (* -3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* -9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(* x.im x.re)
(* 3 x.re)
(/ 1 (pow x.im 2))
(+ (* 3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(+ (* (pow x.re 2) (+ (* 9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(+ (* (pow x.re 2) (+ (* (pow x.re 2) (+ (* 27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(pow x.im 2)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(/ 1/3 (* x.im (pow x.re 2)))
(/ (+ (* 1/9 (/ x.im (pow x.re 2))) (* 1/3 (/ 1 x.im))) (pow x.re 2))
(/ (- (+ (* 1/27 (/ (pow x.im 3) (pow x.re 4))) (* 1/3 (/ 1 x.im))) (* -1/9 (/ x.im (pow x.re 2)))) (pow x.re 2))
(/ (- (+ (* 1/81 (/ (pow x.im 5) (pow x.re 6))) (* 1/3 (/ 1 x.im))) (+ (* -1/9 (/ x.im (pow x.re 2))) (* -1/27 (/ (pow x.im 3) (pow x.re 4))))) (pow x.re 2))
(/ 1/3 (pow x.re 2))
(/ (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/27 (/ (pow x.im 4) (pow x.re 4)))) (* -1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/ (- (+ 1/3 (* 1/81 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/9 (/ (pow x.im 2) (pow x.re 2))) (* -1/27 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))
(/ -1/3 (pow x.re 2))
(/ (- (* -1/9 (/ (pow x.im 2) (pow x.re 2))) 1/3) (pow x.re 2))
(/ (- (* -1/27 (/ (pow x.im 4) (pow x.re 4))) (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/ (- (* -1/81 (/ (pow x.im 6) (pow x.re 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.im 4) (pow x.re 4))) (* 1/9 (/ (pow x.im 2) (pow x.re 2)))))) (pow x.re 2))
(* -3 (pow x.re 2))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (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))))
(/ (+ (* 1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2)))) x.im)
(/ (+ (* (pow x.im 2) (+ (* 1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2)))) x.im)
(/ (+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2)))) x.im)
(+ (* 1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(+ (* (pow x.im 2) (+ (* 1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(* -1 (pow x.im 2))
(* -1 x.im)
(- (* -1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(- (* (pow x.im 2) (- (* -1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(- (* (pow x.im 2) (- (* (pow x.im 2) (- (* -1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(* (pow x.im 3) (- (* 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))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 3))
(/ (- (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) 1) (pow x.im 3))
(/ (- (+ (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) 1) (pow x.im 3))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))
(/ (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/ (- (+ 1 (* 27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (/ (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 3)))
(* -1 (/ (- (+ 1 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 3)))
(* -1 (/ (- (+ 1 (* 27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 3)))
Outputs
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* 3 (* x.im (pow x.re 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(/ -1 (pow x.im 3))
(/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))
(- (* -3 (/ (pow x.re 2) (pow x.im 5))) (/ 1 (pow x.im 3)))
(fma.f64 (*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 5 binary64))) x.re) x.re (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
(- (* (pow x.re 2) (- (* -9 (/ (pow x.re 2) (pow x.im 7))) (* 3 (/ 1 (pow x.im 5))))) (/ 1 (pow x.im 3)))
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 7 binary64))) x.re) x.re (/.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 5 binary64)))) (*.f64 x.re x.re) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64))))
(- (* (pow x.re 2) (- (* (pow x.re 2) (- (* -27 (/ (pow x.re 2) (pow x.im 9))) (* 9 (/ 1 (pow x.im 7))))) (* 3 (/ 1 (pow x.im 5))))) (/ 1 (pow x.im 3)))
(fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -27 binary64) x.re) (/.f64 x.re (pow.f64 x.im #s(literal 9 binary64))) (/.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 7 binary64)))) (fma.f64 (*.f64 (/.f64 #s(literal -3 binary64) (pow.f64 x.im #s(literal 5 binary64))) x.re) x.re (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal 3 binary64)))))
(/ -1 (pow x.im 2))
(/.f64 #s(literal -1 binary64) (*.f64 x.im x.im))
(- (* -3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (*.f64 x.im x.im))
(- (* (pow x.re 2) (- (* -9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 6 binary64))) x.re) x.re (/.f64 #s(literal -3 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) (- (* -27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -27 binary64) x.re) (/.f64 x.re (pow.f64 x.im #s(literal 8 binary64))) (/.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (*.f64 x.im x.im)))
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* 3 (* x.im x.re))
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(* x.im x.re)
(*.f64 x.im x.re)
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(/ 1 (pow x.im 2))
(/.f64 #s(literal 1 binary64) (*.f64 x.im x.im))
(+ (* 3 (/ (pow x.re 2) (pow x.im 4))) (/ 1 (pow x.im 2)))
(fma.f64 (*.f64 (/.f64 #s(literal 3 binary64) (pow.f64 x.im #s(literal 4 binary64))) x.re) x.re (/.f64 #s(literal 1 binary64) (*.f64 x.im x.im)))
(+ (* (pow x.re 2) (+ (* 9 (/ (pow x.re 2) (pow x.im 6))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(fma.f64 (fma.f64 (*.f64 #s(literal 9 binary64) x.re) (/.f64 x.re (pow.f64 x.im #s(literal 6 binary64))) (/.f64 #s(literal 3 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) (+ (* 27 (/ (pow x.re 2) (pow x.im 8))) (* 9 (/ 1 (pow x.im 6))))) (* 3 (/ 1 (pow x.im 4))))) (/ 1 (pow x.im 2)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 27 binary64) x.re) (/.f64 x.re (pow.f64 x.im #s(literal 8 binary64))) (/.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 6 binary64)))) (*.f64 x.re x.re) (/.f64 #s(literal 3 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.im 2)
(*.f64 x.im x.im)
(+ (* -3 (pow x.re 2)) (pow x.im 2))
(fma.f64 (*.f64 x.re x.re) #s(literal -3 binary64) (*.f64 x.im x.im))
(* (pow x.re 2) (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 3 x.im)))
(*.f64 (*.f64 x.im (-.f64 #s(literal 3 binary64) (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im))) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (*.f64 x.im (-.f64 #s(literal 3 binary64) (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im))) (*.f64 x.re x.re))
(/ 1/3 (* x.im (pow x.re 2)))
(/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x.re x.re) x.im))
(/ (+ (* 1/9 (/ x.im (pow x.re 2))) (* 1/3 (/ 1 x.im))) (pow x.re 2))
(/.f64 (/.f64 (fma.f64 (/.f64 x.im (*.f64 x.re x.re)) #s(literal 1/9 binary64) (/.f64 #s(literal 1/3 binary64) x.im)) x.re) x.re)
(/ (- (+ (* 1/27 (/ (pow x.im 3) (pow x.re 4))) (* 1/3 (/ 1 x.im))) (* -1/9 (/ x.im (pow x.re 2)))) (pow x.re 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x.re) (/.f64 x.im x.re) (fma.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) (pow.f64 x.re #s(literal 4 binary64))) #s(literal 1/27 binary64) (/.f64 #s(literal 1/3 binary64) x.im))) (*.f64 x.re x.re))
(/ (- (+ (* 1/81 (/ (pow x.im 5) (pow x.re 6))) (* 1/3 (/ 1 x.im))) (+ (* -1/9 (/ x.im (pow x.re 2))) (* -1/27 (/ (pow x.im 3) (pow x.re 4))))) (pow x.re 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x.re) (/.f64 x.im x.re) (fma.f64 (pow.f64 x.im #s(literal 3 binary64)) (/.f64 #s(literal 1/27 binary64) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 x.im #s(literal 5 binary64)) (pow.f64 x.re #s(literal 6 binary64))) #s(literal 1/81 binary64) (/.f64 #s(literal 1/3 binary64) x.im)))) (*.f64 x.re x.re))
(/ 1/3 (pow x.re 2))
(/.f64 #s(literal 1/3 binary64) (*.f64 x.re x.re))
(/ (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/.f64 (/.f64 (fma.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal 1/9 binary64) #s(literal 1/3 binary64)) x.re) x.re)
(/ (- (+ 1/3 (* 1/27 (/ (pow x.im 4) (pow x.re 4)))) (* -1/9 (/ (pow x.im 2) (pow x.re 2)))) (pow x.re 2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) (/.f64 #s(literal 1/27 binary64) (pow.f64 x.re #s(literal 4 binary64))) #s(literal 1/3 binary64))) (*.f64 x.re x.re))
(/ (- (+ 1/3 (* 1/81 (/ (pow x.im 6) (pow x.re 6)))) (+ (* -1/9 (/ (pow x.im 2) (pow x.re 2))) (* -1/27 (/ (pow x.im 4) (pow x.re 4))))) (pow x.re 2))
(/.f64 (fma.f64 (*.f64 #s(literal 1/9 binary64) (/.f64 x.im x.re)) (/.f64 x.im x.re) (fma.f64 (pow.f64 x.im #s(literal 4 binary64)) (/.f64 #s(literal 1/27 binary64) (pow.f64 x.re #s(literal 4 binary64))) (fma.f64 (pow.f64 x.im #s(literal 6 binary64)) (/.f64 #s(literal 1/81 binary64) (pow.f64 x.re #s(literal 6 binary64))) #s(literal 1/3 binary64)))) (*.f64 x.re x.re))
(/ -1/3 (pow x.re 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x.re x.re))
(/ (- (* -1/9 (/ (pow x.im 2) (pow x.re 2))) 1/3) (pow x.re 2))
(fma.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x.re #s(literal 4 binary64))) x.im) x.im (/.f64 #s(literal -1/3 binary64) (*.f64 x.re x.re)))
(/ (- (* -1/27 (/ (pow x.im 4) (pow x.re 4))) (+ 1/3 (* 1/9 (/ (pow x.im 2) (pow x.re 2))))) (pow x.re 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) #s(literal -1/27 binary64) (fma.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal -1/9 binary64) #s(literal -1/3 binary64))) (*.f64 x.re x.re))
(/ (- (* -1/81 (/ (pow x.im 6) (pow x.re 6))) (+ 1/3 (+ (* 1/27 (/ (pow x.im 4) (pow x.re 4))) (* 1/9 (/ (pow x.im 2) (pow x.re 2)))))) (pow x.re 2))
(/.f64 (fma.f64 #s(literal -1/81 binary64) (/.f64 (pow.f64 x.im #s(literal 6 binary64)) (pow.f64 x.re #s(literal 6 binary64))) (fma.f64 (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64))) #s(literal -1/27 binary64) (fma.f64 (*.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im) #s(literal -1/9 binary64) #s(literal -1/3 binary64)))) (*.f64 x.re x.re))
(* -3 (pow x.re 2))
(*.f64 (*.f64 x.re x.re) #s(literal -3 binary64))
(* (pow x.re 2) (- (/ (pow x.im 2) (pow x.re 2)) 3))
(*.f64 (*.f64 (fma.f64 (/.f64 x.im (*.f64 x.re x.re)) x.im #s(literal -3 binary64)) x.re) x.re)
(* x.im (+ (* -1 (pow x.im 2)) (* 3 (pow x.re 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re) x.im (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(/ (+ (* 1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2)))) x.im)
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x.re #s(literal 4 binary64))) x.im) x.im (/.f64 #s(literal 1/3 binary64) (*.f64 x.re x.re))) x.im)
(/ (+ (* (pow x.im 2) (+ (* 1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2)))) x.im)
(/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x.re #s(literal 6 binary64))) x.im) x.im (/.f64 #s(literal 1/9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 x.im x.im) (/.f64 #s(literal 1/3 binary64) (*.f64 x.re x.re))) x.im)
(/ (+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2)))) x.im)
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/81 binary64) x.im) (/.f64 x.im (pow.f64 x.re #s(literal 8 binary64))) (/.f64 #s(literal 1/27 binary64) (pow.f64 x.re #s(literal 6 binary64)))) (*.f64 x.im x.im) (/.f64 #s(literal 1/9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 x.im x.im) (/.f64 #s(literal 1/3 binary64) (*.f64 x.re x.re))) x.im)
(+ (* 1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(fma.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) (pow.f64 x.re #s(literal 4 binary64))) x.im) x.im (/.f64 #s(literal 1/3 binary64) (*.f64 x.re x.re)))
(+ (* (pow x.im 2) (+ (* 1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1/27 binary64) (pow.f64 x.re #s(literal 6 binary64))) x.im) x.im (/.f64 #s(literal 1/9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 x.im x.im) (/.f64 #s(literal 1/3 binary64) (*.f64 x.re x.re)))
(+ (* (pow x.im 2) (+ (* (pow x.im 2) (+ (* 1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/81 binary64) x.im) (/.f64 x.im (pow.f64 x.re #s(literal 8 binary64))) (/.f64 #s(literal 1/27 binary64) (pow.f64 x.re #s(literal 6 binary64)))) (*.f64 x.im x.im) (/.f64 #s(literal 1/9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 x.im x.im) (/.f64 #s(literal 1/3 binary64) (*.f64 x.re x.re)))
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(* -1 x.im)
(neg.f64 x.im)
(- (* -1/9 (/ (pow x.im 2) (pow x.re 4))) (* 1/3 (/ 1 (pow x.re 2))))
(fma.f64 (*.f64 (/.f64 #s(literal -1/9 binary64) (pow.f64 x.re #s(literal 4 binary64))) x.im) x.im (/.f64 #s(literal -1/3 binary64) (*.f64 x.re x.re)))
(- (* (pow x.im 2) (- (* -1/27 (/ (pow x.im 2) (pow x.re 6))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/27 binary64) (pow.f64 x.re #s(literal 6 binary64))) x.im) x.im (/.f64 #s(literal -1/9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 x.im x.im) (/.f64 #s(literal -1/3 binary64) (*.f64 x.re x.re)))
(- (* (pow x.im 2) (- (* (pow x.im 2) (- (* -1/81 (/ (pow x.im 2) (pow x.re 8))) (* 1/27 (/ 1 (pow x.re 6))))) (* 1/9 (/ 1 (pow x.re 4))))) (* 1/3 (/ 1 (pow x.re 2))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/81 binary64) x.im) (/.f64 x.im (pow.f64 x.re #s(literal 8 binary64))) (/.f64 #s(literal -1/27 binary64) (pow.f64 x.re #s(literal 6 binary64)))) (*.f64 x.im x.im) (/.f64 #s(literal -1/9 binary64) (pow.f64 x.re #s(literal 4 binary64)))) (*.f64 x.im x.im) (/.f64 #s(literal -1/3 binary64) (*.f64 x.re x.re)))
(* (pow x.im 3) (- (* 3 (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.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 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 3))
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(/ (- (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) 1) (pow x.im 3))
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(/ (- (+ (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) 1) (pow x.im 3))
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (pow.f64 x.re #s(literal 6 binary64)) (/.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64))) #s(literal -1 binary64)))) (pow.f64 x.im #s(literal 3 binary64)))
(/ (- (* -3 (/ (pow x.re 2) (pow x.im 2))) 1) (pow x.im 2))
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (*.f64 x.im x.im))
(/ (- (* -9 (/ (pow x.re 4) (pow x.im 4))) (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64))) (*.f64 x.im x.im))
(/ (- (* -27 (/ (pow x.re 6) (pow x.im 6))) (+ 1 (+ (* 3 (/ (pow x.re 2) (pow x.im 2))) (* 9 (/ (pow x.re 4) (pow x.im 4)))))) (pow x.im 2))
(/.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) (fma.f64 (pow.f64 x.re #s(literal 6 binary64)) (/.f64 #s(literal -27 binary64) (pow.f64 x.im #s(literal 6 binary64))) #s(literal -1 binary64)))) x.im) x.im)
(/ (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal 1 binary64)) (*.f64 x.im x.im))
(/ (- (+ 1 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 2))
(/.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 1 binary64))) (*.f64 x.im x.im))
(/ (- (+ 1 (* 27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 2))
(/.f64 (fma.f64 (pow.f64 x.re #s(literal 6 binary64)) (/.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 1 binary64)))) (*.f64 x.im x.im))
(* (pow x.im 2) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2)))))
(*.f64 (fma.f64 (*.f64 (*.f64 x.re x.re) x.im) (/.f64 (/.f64 #s(literal -3 binary64) x.im) x.im) x.im) x.im)
(* -1 (* (pow x.im 3) (+ 1 (* -3 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (/.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 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (/ (+ 1 (* 3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 3)))
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (/ (- (+ 1 (* 9 (/ (pow x.re 4) (pow x.im 4)))) (* -3 (/ (pow x.re 2) (pow x.im 2)))) (pow x.im 3)))
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 #s(literal -9 binary64) (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (/ (- (+ 1 (* 27 (/ (pow x.re 6) (pow x.im 6)))) (+ (* -9 (/ (pow x.re 4) (pow x.im 4))) (* -3 (/ (pow x.re 2) (pow x.im 2))))) (pow x.im 3)))
(/.f64 (fma.f64 (pow.f64 x.re #s(literal 6 binary64)) (/.f64 #s(literal 27 binary64) (pow.f64 x.im #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 x.re x.im)) (/.f64 x.re x.im) (fma.f64 (pow.f64 x.re #s(literal 4 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 1 binary64)))) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))

rewrite59.0ms (0.8%)

Memory
-0.9MiB live, 81.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039279
057275
1201245
01064240
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
20 → 170
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) x.im)))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) x.im)
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.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 (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 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re))
(*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re)
(*.f64 #s(literal 3 binary64) (*.f64 x.im x.re))
(*.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 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
(*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re))
(*.f64 #s(literal 3 binary64) x.re)
(/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* 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 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))
(fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))
#s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im))
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im)) #s(literal -1 binary64))) (neg.f64 x.im))
(*.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x.im) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x.im) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x.im #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))))
(*.f64 (*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))) #s(literal 1 binary64))
(*.f64 (neg.f64 (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))) (pow.f64 (pow.f64 x.im #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))) x.im)
(*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im)))
(*.f64 x.im (neg.f64 (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im)) #s(literal -1 binary64)) x.im)))
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im)) x.im))
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x.im) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))) (pow.f64 x.im #s(literal -1 binary64)))
(/.f64 (neg.f64 x.im) (pow.f64 (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im)) #s(literal -1 binary64)))
(/.f64 x.im (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))))
(/.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im)) #s(literal -1 binary64)) x.im))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x.im) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x.im) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 #s(literal -1 binary64) x.im) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im)))) #s(literal -1 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))))
(*.f64 (pow.f64 x.im #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))))
(*.f64 (pow.f64 (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 x.im)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x.im) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))) (/.f64 (pow.f64 x.im #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))) (pow.f64 x.im #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im)) #s(literal -1 binary64)) x.im))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x.im) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))))
(pow.f64 (*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im)) #s(literal -1 binary64)) #s(literal -1 binary64)) x.im)
(/.f64 (/.f64 #s(literal -1 binary64) x.im) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im)))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal -1 binary64))) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))) #s(literal 1 binary64)) x.im)
(/.f64 (pow.f64 x.im #s(literal -1 binary64)) (neg.f64 (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))))
(/.f64 (pow.f64 (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 x.im)))
(/.f64 (pow.f64 (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im)) #s(literal -1 binary64)) (neg.f64 x.im))
(/.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im)) #s(literal -1 binary64)) x.im) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x.im) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im))) x.im)
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im)) x.im)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 x.im) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im)))))
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eval27.0ms (0.4%)

Memory
25.2MiB live, 63.8MiB allocated
Compiler

Compiled 9 376 to 975 computations (89.6% saved)

prune32.0ms (0.5%)

Memory
6.2MiB live, 45.3MiB allocated
Pruning

13 alts after pruning (3 fresh and 10 done)

PrunedKeptTotal
New2353238
Fresh101
Picked235
Done077
Total23813251
Accuracy
100.0%
Counts
251 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.3%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im)))
55.3%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 x.im (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))))
55.1%
#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 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im))) x.im)))
88.7%
#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 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x.im) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.f64 x.im x.im)))))
51.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
55.3%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (neg.f64 x.im) x.im) x.im))
51.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
58.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.re) (*.f64 #s(literal 3 binary64) x.re)))
21.6%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.im x.im) x.im))
58.5%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re))
91.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
58.5%
#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))))
55.4%
#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))))
Compiler

Compiled 1 105 to 346 computations (68.7% saved)

regimes42.0ms (0.6%)

Memory
-30.1MiB live, 53.6MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#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.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 (neg.f64 x.im) x.im) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 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.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 (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) 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 x.im (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* 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)) (fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.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 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) 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 x.re x.re)) 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))
#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 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im))) 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))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x.im) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) x.im)))
(+.f64 (*.f64 (*.f64 (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (*.f64 (+.f64 (*.f64 x.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)) (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)) (*.f64 (fma.f64 (*.f64 (/.f64 x.re x.im) #s(literal 3 binary64)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Outputs
#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 (fma.f64 (*.f64 (/.f64 x.re x.im) #s(literal 3 binary64)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64))))
Calls

3 calls:

24.0ms
(+.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))
9.0ms
x.re
7.0ms
x.im
Results
AccuracySegmentsBranch
97.9%2x.re
99.1%2x.im
99.9%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)

regimes20.0ms (0.3%)

Memory
5.9MiB live, 44.5MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#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.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 (neg.f64 x.im) x.im) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 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.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 (neg.f64 (fma.f64 x.im x.im (*.f64 #s(literal -3 binary64) (*.f64 x.re x.re)))) x.im))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 x.re x.re)) 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 x.im (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* 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)) (fma.f64 (*.f64 (neg.f64 x.im) x.im) x.im (*.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 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im)))))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.im x.re) 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 x.re x.re)) 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))
#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 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) #s(approx (+ (* (* x.re x.re) -3) (* x.im x.im)) (*.f64 x.im x.im))) 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))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (/.f64 (neg.f64 x.im) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re x.re) #s(literal -3 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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x.im) (fma.f64 (*.f64 x.re #s(literal -3 binary64)) x.re (*.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 x.re x.re) (*.f64 x.im x.im))) x.im)))
(+.f64 (*.f64 (*.f64 (/.f64 x.im (fma.f64 x.im x.im (*.f64 x.re x.re))) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (-.f64 x.re x.im) (+.f64 x.im x.re))) (*.f64 (+.f64 (*.f64 x.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)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 (fma.f64 x.im x.im (*.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 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
Calls

3 calls:

8.0ms
x.re
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
97.9%2x.re
97.9%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))
97.9%2x.im
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes8.0ms (0.1%)

Memory
20.8MiB live, 20.8MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#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.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 (neg.f64 x.im) x.im) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 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.re) #s(literal 3 binary64)) 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 (*.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))))
Calls

3 calls:

3.0ms
x.re
3.0ms
x.im
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
94.7%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))
78.9%2x.im
86.7%2x.re
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes7.0ms (0.1%)

Memory
-23.9MiB live, 12.9MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#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.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 (neg.f64 x.im) x.im) 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 (*.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 x.im x.im) x.im))
Calls

3 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))
1.0ms
x.re
1.0ms
x.im
Results
AccuracySegmentsBranch
55.3%1x.im
61.0%2x.re
58.2%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)

regimes4.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#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.im) 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 (*.f64 x.im x.im) x.im))
Calls

3 calls:

1.0ms
x.re
1.0ms
x.im
1.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
21.6%1x.im
21.6%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))
21.6%1x.re
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch17.0ms (0.2%)

Memory
-15.4MiB live, 31.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
2.144761440559329e-110
4.1206011306636964e-107
Samples
10.0ms128×0valid
Compiler

Compiled 510 to 312 computations (38.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 4.0ms (53.5% of total)
ival-add: 3.0ms (40.1% of total)
ival-sub: 1.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch19.0ms (0.3%)

Memory
-0.8MiB live, 37.7MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
17.0ms
1.8946447774116373e+139
1.8036305385545405e+150
Samples
11.0ms144×0valid
Compiler

Compiled 544 to 340 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (76.2% of total)
ival-sub: 1.0ms (12.7% of total)
ival-add: 1.0ms (12.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-6.9965e-320
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch17.0ms (0.2%)

Memory
1.6MiB live, 40.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
5.217020348591627e+182
1.5563927228775302e+187
Samples
9.0ms128×0valid
Compiler

Compiled 430 to 264 computations (38.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (66.9% of total)
ival-sub: 1.0ms (16.7% of total)
ival-add: 1.0ms (16.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify68.0ms (1%)

Memory
17.9MiB live, 57.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
056282
180264
2126264
3224228
4448228
51147228
62469228
75851228
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 x.im #s(literal 423488980006253/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 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.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 (/.f64 x.re x.im) #s(literal 3 binary64)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))
(if (<=.f64 x.re #s(literal 1799999999999999929162136895606929735565425630854347109882028623911477187892111490325372477839301907223311172790938531754894577882866230430089990897664 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 (fma.f64 x.im x.im (*.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 x.re (*.f64 x.re (*.f64 #s(literal 3 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 -1265/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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 (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)))))
(if (<=.f64 x.re #s(literal 25999999999999999319084651394734940359123182509007127317081586276236042689376336851115491103184341528598596289076018173432236252496592090808667879080930350221254660171183566127890432000 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 (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 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 x.im x.im) x.im))
Outputs
(if (<=.f64 x.im #s(literal 423488980006253/10328999512347634358623676688012047497318823171316894051322637426162590488067364778518581413120551325743612687890989973504 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.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (*.f64 (/.f64 x.re x.im) #s(literal 3 binary64)) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))
(if (<=.f64 x.re #s(literal 1799999999999999929162136895606929735565425630854347109882028623911477187892111490325372477839301907223311172790938531754894577882866230430089990897664 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (neg.f64 (fma.f64 x.im x.im (*.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 x.re (*.f64 x.re (*.f64 #s(literal 3 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 -1265/25300281663413827294061918339864663381194581220517764794612669753428792445999418361495047962679640561898384733039601488923726092173224184608376674992592313740189678034570795170558363467761652042654970959809093133570250935428086587327262919456144944542601257064044846194041676826903812816523290938580750782913463467636686848 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 (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)))))
(if (<=.f64 x.re #s(literal 25999999999999999319084651394734940359123182509007127317081586276236042689376336851115491103184341528598596289076018173432236252496592090808667879080930350221254660171183566127890432000 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 (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 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 x.im x.im) x.im))

soundness859.0ms (12.4%)

Memory
-21.2MiB live, 422.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057198
1182192
2585192
32566192
47286192
08076187
042301
065284
1247220
21673219
08515208
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 496 to 204 computations (58.9% saved)

preprocess250.0ms (3.6%)

Memory
1.6MiB live, 198.4MiB allocated
Remove

(abs x.re)

Compiler

Compiled 1 026 to 312 computations (69.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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