math.cube on complex, imaginary part

Time bar (total: 8.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

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

Compiled 21 to 13 computations (38.1% saved)

sample1.3s (15.9%)

Memory
-16.9MiB live, 1 384.9MiB allocated
Samples
922.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 638.0ms
ival-mult: 475.0ms (74.5% of total)
ival-add: 114.0ms (17.9% of total)
ival-sub: 38.0ms (6% of total)
ival-true: 6.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain195.0ms (2.3%)

Memory
19.2MiB live, 259.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
210-0-(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
170-0-(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
120-0-(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
00-0-(*.f64 x.re x.im)
00-0-(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
00-0-(*.f64 x.im x.im)
00-0-(*.f64 x.re x.re)
00-0-(*.f64 x.im x.re)
00-0-(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
00-0-x.re
00-0-x.im
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))nan-rescue210
(*.f64 x.re x.re)overflow57
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))overflow103
(*.f64 x.im x.im)overflow63
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)overflow105
(*.f64 x.im x.re)overflow27
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)overflow56
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))overflow27
(*.f64 x.re x.im)overflow27
-.f64(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))nan-rescue170
(*.f64 x.re x.re)overflow57
(*.f64 x.im x.im)overflow63
*.f64(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)n*o120
Confusion
Predicted +Predicted -
+380
-0218
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+3800
-00218
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0218
126
212
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
57.0ms512×0valid
Compiler

Compiled 218 to 48 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 19.0ms (45.9% of total)
ival-sub: 17.0ms (41.1% of total)
ival-add: 4.0ms (9.7% of total)
ival-true: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)

preprocess311.0ms (3.7%)

Memory
11.0MiB live, 243.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

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

(abs x.re)

(negabs x.im)

Compiler

Compiled 19 to 11 computations (42.1% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.2%
(+.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 19 to 11 computations (42.1% saved)

simplify181.0ms (2.1%)

Memory
-15.5MiB live, 228.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 3 (0.0ms)

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

localize73.0ms (0.9%)

Memory
-10.1MiB live, 79.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.13671875
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy2.925139569212397
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy3.99997522996247
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy5.351519152434322
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Samples
65.0ms256×0valid
Compiler

Compiled 132 to 24 computations (81.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-mult: 37.0ms (91.9% of total)
ival-add: 2.0ms (5% of total)
ival-sub: 1.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
-18.3MiB live, 20.3MiB allocated
Counts
6 → 22
Calls
Call 1
Inputs
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(*.f64 x.re x.re)
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
Outputs
(* 2 (* x.im x.re))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 2 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x.im
@inf
((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms
x.im
@-inf
((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms
x.im
@0
((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms
x.re
@0
((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms
x.re
@inf
((+ (* x.re x.im) (* x.im x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify120.0ms (1.4%)

Memory
16.2MiB live, 134.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

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

rewrite63.0ms (0.7%)

Memory
-6.9MiB live, 67.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

eval8.0ms (0.1%)

Memory
19.2MiB live, 19.2MiB allocated
Compiler

Compiled 2 335 to 321 computations (86.3% saved)

prune22.0ms (0.3%)

Memory
-9.7MiB live, 36.9MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New801191
Fresh000
Picked101
Done000
Total811192
Accuracy
95.2%
Counts
92 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
36.2%
(+.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))
40.5%
(+.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))
33.5%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
35.7%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) x.re))
85.2%
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
91.6%
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
63.5%
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
51.0%
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
63.5%
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
90.7%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
51.0%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
Compiler

Compiled 562 to 328 computations (41.6% saved)

simplify171.0ms (2%)

Memory
-16.9MiB live, 159.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize345.0ms (4.1%)

Memory
-7.5MiB live, 181.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy2.925139569212397
(*.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)
accuracy5.351519152434322
(+.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))
accuracy6.941367030773911
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im)))
accuracy41.709354289254584
(/.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)))
accuracy0.13671875
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
accuracy2.925139569212397
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
accuracy3.99997522996247
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
accuracy5.351519152434322
(+.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))
accuracy0.13671875
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy5.351519152434322
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy6.181593004279754
(*.f64 (*.f64 x.re x.re) x.im)
accuracy28.42098757611531
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im))
accuracy0
(*.f64 x.re x.re)
accuracy0.15625
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
accuracy6.181593004279754
(*.f64 (*.f64 x.re x.re) x.im)
accuracy28.417295129759506
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
accuracy0.0078125
(*.f64 (-.f64 x.re x.im) x.im)
accuracy0.10546875
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
accuracy0.13671875
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy5.351519152434322
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Samples
250.0ms256×0valid
Compiler

Compiled 748 to 79 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-mult: 89.0ms (66.3% of total)
ival-sub: 31.0ms (23.1% of total)
ival-add: 8.0ms (6% of total)
ival-pow: 3.0ms (2.2% of total)
ival-div: 2.0ms (1.5% of total)
ival-neg: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series69.0ms (0.8%)

Memory
21.9MiB live, 59.8MiB allocated
Counts
21 → 68
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.im x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (-.f64 x.re x.im) x.im)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im)))
Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
x.im
(+ x.im x.re)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(pow x.im 2)
(- (pow x.re 2) (* -1 (pow x.im 2)))
(* 2 (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* -1 (pow x.im 4))
(- (pow x.re 4) (pow x.im 4))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(+ (pow x.im 2) (pow x.re 2))
(* x.im (+ x.re (* -1 x.im)))
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* x.im (+ 1 (/ x.re x.im)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
Calls

6 calls:

TimeVariablePointExpression
50.0ms
x.im
@inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (* (* x.re (+ x.im x.im)) x.re) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))
4.0ms
x.im
@-inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (* (* x.re (+ x.im x.im)) x.re) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))
3.0ms
x.re
@inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (* (* x.re (+ x.im x.im)) x.re) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))
3.0ms
x.re
@0
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (* (* x.re (+ x.im x.im)) x.re) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))
3.0ms
x.re
@-inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (+ (* x.re x.im) (* x.im x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (* (* x.re x.re) x.im) 3) (* (* x.re x.re) x.im) (* x.re x.re) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (* x.re (+ x.im x.im)) x.re)) (- (* x.re x.re) (* x.im x.im)) (* (- (* x.re x.re) (* x.im x.im)) x.im) (+ (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (- (* x.re x.re) (* (neg x.im) x.im)) (* (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re) (* (- x.re x.im) x.im) (* (* x.re (+ x.im x.im)) x.re) (/ (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))) (- (* x.re x.re) (* (neg x.im) x.im))) (- (pow x.re 4) (* (* (neg x.im) x.im) (* (neg x.im) x.im))))

simplify216.0ms (2.6%)

Memory
-14.2MiB live, 71.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0195826
1666673
22119600
08516581
Stop Event
iter limit
node limit
Counts
68 → 66
Calls
Call 1
Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* 2 (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
x.im
(+ x.im x.re)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* x.im (pow x.re 2))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(* -1 (pow x.im 2))
(- (pow x.re 2) (pow x.im 2))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(pow x.im 2)
(- (pow x.re 2) (* -1 (pow x.im 2)))
(* 2 (* x.im (pow x.re 2)))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(* -1 (pow x.im 4))
(- (pow x.re 4) (pow x.im 4))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(pow x.re 4)
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(+ (pow x.im 2) (pow x.re 2))
(* x.im (+ x.re (* -1 x.im)))
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* x.im (+ 1 (/ x.re x.im)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
Outputs
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* 2 (* x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
x.im
(+ x.im x.re)
(+.f64 x.re x.im)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -1 (pow x.im 3)) (* x.im (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(- (pow x.re 2) (pow x.im 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (- (* 2 x.im) (* -1 x.im))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(pow x.im 2)
(*.f64 x.im x.im)
(- (pow x.re 2) (* -1 (pow x.im 2)))
(fma.f64 x.re x.re (*.f64 x.im x.im))
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 2 binary64)) x.im)
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(*.f64 (-.f64 x.re x.im) x.im)
(+ (* -1 (pow x.im 2)) (pow x.re 2))
(fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re))
(* -1 (pow x.im 4))
(neg.f64 (pow.f64 x.im #s(literal 4 binary64)))
(- (pow x.re 4) (pow x.im 4))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (pow x.im 3) (pow x.re 2)))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (* -1 (/ (pow x.im 2) (pow x.re 2)))))
(*.f64 (fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ 1 (/ (pow x.im 2) (pow x.re 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 x.im x.re) (/.f64 x.im x.re) #s(literal 1 binary64)) x.re) x.re)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(pow x.re 4)
(pow.f64 x.re #s(literal 4 binary64))
(* (pow x.re 4) (+ 1 (* -1 (/ (pow x.im 4) (pow x.re 4)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))) (pow.f64 x.re #s(literal 4 binary64)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(+ (pow x.im 2) (pow x.re 2))
(fma.f64 x.re x.re (*.f64 x.im x.im))
(* x.im (+ x.re (* -1 x.im)))
(*.f64 (-.f64 x.re x.im) x.im)
(+ (* -1 (pow x.im 4)) (pow x.re 4))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* x.im (+ 1 (/ x.re x.im)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 2) (- (/ (pow x.re 2) (pow x.im 2)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) x.im) x.im)
(* (pow x.im 3) (- (+ (* -1 (/ (pow x.re 4) (pow x.im 4))) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ (pow x.re 2) (pow x.im 2)) (/ (pow x.re 4) (pow x.im 4))))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) (fma.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal -1 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 2) (+ 1 (/ (pow x.re 2) (pow x.im 2))))
(*.f64 (*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im)
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 (*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im)
(* (pow x.im 4) (- (/ (pow x.re 4) (pow x.im 4)) 1))
(*.f64 (-.f64 (/.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (pow x.re 2) (pow x.im 2))))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))

rewrite491.0ms (5.8%)

Memory
4.4MiB live, 198.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044275
072210
1280181
21741181
08890166
Stop Event
iter limit
node limit
iter limit
Counts
21 → 2 376
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.im x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(*.f64 (*.f64 x.re x.re) x.im)
(*.f64 x.re x.re)
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im))
(*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))
(*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (-.f64 x.re x.im) x.im)
(*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re)
(/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im)))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im)))
Outputs
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x.im x.im))) (pow.f64 (-.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im)) (-.f64 (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x.im x.im)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x.im x.im)) (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x.im) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x.im x.im))))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x.im (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.im) (-.f64 (*.f64 #s(literal 2 binary64) x.im) (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im))) (*.f64 (-.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im)) (*.f64 #s(literal 4 binary64) (*.f64 x.im x.im)))) (*.f64 (-.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im)) (-.f64 (fma.f64 (*.f64 x.re x.re) x.im (pow.f64 x.im #s(literal 3 binary64))) (*.f64 #s(literal 2 binary64) x.im))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) #s(literal 0 binary64) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 #s(literal 0 binary64) x.re))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) #s(literal 0 binary64)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))) x.re))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (fma.f64 x.im x.im #s(literal 0 binary64))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (neg.f64 (fma.f64 x.im x.im #s(literal 0 binary64)))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) #s(literal 0 binary64) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) #s(literal 0 binary64))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) #s(literal 0 binary64)))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (/.f64 (fma.f64 x.im x.im #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.im #s(literal 3 binary64))))))
(/.f64 (fma.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))) x.im) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 x.re x.re (*.f64 x.im x.im))) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))))
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(/.f64 (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) (-.f64 (pow.f64 x.re #s(literal 8 binary64)) (pow.f64 x.im #s(literal 8 binary64))))))
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(fma.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 4 binary64)))
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(fma.f64 (*.f64 x.im x.im) (*.f64 x.im x.im) (pow.f64 x.re #s(literal 4 binary64)))
(fma.f64 (*.f64 x.re x.re) (*.f64 x.re x.re) (pow.f64 x.im #s(literal 4 binary64)))
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(-.f64 (/.f64 (pow.f64 x.re #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))) (/.f64 (pow.f64 x.im #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 4 binary64)) (pow.f64 x.im #s(literal 8 binary64))) (pow.f64 x.re #s(literal 8 binary64)))))
(-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))
(+.f64 (pow.f64 x.im #s(literal 4 binary64)) (pow.f64 x.re #s(literal 4 binary64)))
(+.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64)))

eval298.0ms (3.5%)

Memory
-8.5MiB live, 146.9MiB allocated
Compiler

Compiled 49 551 to 4 077 computations (91.8% saved)

prune106.0ms (1.3%)

Memory
15.4MiB live, 55.2MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1 285141 299
Fresh516
Picked505
Done000
Total1 295151 310
Accuracy
100.0%
Counts
1 310 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.2%
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
19.0%
(fma.f64 x.im #s(literal 2 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)))
22.6%
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (-.f64 x.im x.re) #s(literal 1 binary64))) (*.f64 (-.f64 x.im x.re) (*.f64 #s(literal 2 binary64) x.im)))
91.6%
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.re)) x.re))
89.0%
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
48.2%
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
90.5%
(+.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
90.7%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
72.9%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)))
55.4%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
51.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
51.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.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)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
55.5%
#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))))
56.0%
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
Compiler

Compiled 784 to 448 computations (42.9% saved)

simplify281.0ms (3.3%)

Memory
17.8MiB live, 139.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
cost-diff128
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
cost-diff192
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
cost-diff1024
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
cost-diff0
(-.f64 x.re x.im)
cost-diff0
(*.f64 (-.f64 x.re x.im) x.im)
cost-diff0
(+.f64 x.re x.im)
cost-diff320
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) 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-diff0
(*.f64 (-.f64 x.re x.im) x.im)
cost-diff0
(+.f64 x.im x.re)
cost-diff0
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
cost-diff704
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.re)) x.re))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044282
071268
1122261
2219261
3555249
41488237
52817237
66166237
08238235
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.re)) x.re))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.im x.re)
x.im
x.re
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 (*.f64 x.im (+.f64 x.re x.re)) x.re)
(*.f64 x.im (+.f64 x.re x.re))
(+.f64 x.re x.re)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
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
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
(+.f64 x.re x.im)
x.re
x.im
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 #s(literal 2 binary64) x.im)
#s(literal 2 binary64)
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
(+.f64 x.im x.re)
x.im
x.re
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)
(neg.f64 x.im)
(/.f64 x.im x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
Outputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.im (+.f64 x.re 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 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
(+.f64 x.im x.re)
(+.f64 x.re x.im)
x.im
x.re
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 (*.f64 x.im (+.f64 x.re x.re)) x.re)
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
(*.f64 x.im (+.f64 x.re x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(+.f64 x.re x.re)
(*.f64 #s(literal 2 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 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
x.re
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re))
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(*.f64 x.re x.re)
x.re
(*.f64 #s(literal 3 binary64) x.im)
#s(literal 3 binary64)
x.im
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
(*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(+.f64 x.re x.im)
x.re
x.im
(*.f64 (-.f64 x.re x.im) x.im)
(-.f64 x.re x.im)
(*.f64 #s(literal 2 binary64) x.im)
#s(literal 2 binary64)
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 2 binary64) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.re x.im)))
(*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
(*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.re x.im))
(+.f64 x.im x.re)
(+.f64 x.re x.im)
x.im
x.re
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))
#s(approx (* (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(*.f64 (-.f64 x.re x.im) x.im)
(fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im)
(neg.f64 x.im)
(/.f64 x.im x.re)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
(*.f64 (*.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(*.f64 (*.f64 x.re x.im) #s(literal 2 binary64))
(*.f64 x.re x.im)
(*.f64 x.im x.re)
(*.f64 x.re x.im)

localize224.0ms (2.7%)

Memory
-13.9MiB live, 106.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.10546875
(*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
accuracy0.13671875
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
accuracy4.005931608482633
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
accuracy5.351519152434322
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
accuracy0
(+.f64 x.re x.im)
accuracy0
(*.f64 #s(literal 2 binary64) x.im)
accuracy0.0078125
(*.f64 (-.f64 x.re x.im) x.im)
accuracy0.09375
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
accuracy0
(*.f64 x.re x.re)
accuracy0
(*.f64 #s(literal 3 binary64) x.im)
accuracy6.238372932153682
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
accuracy28.417295129759506
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
accuracy0
(*.f64 #s(literal 3 binary64) x.im)
accuracy0.15625
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
accuracy0.20703125
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
accuracy28.417295129759506
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
accuracy0.0078125
(*.f64 (-.f64 x.re x.im) x.im)
accuracy0.10546875
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
accuracy0.13671875
(*.f64 (*.f64 x.im (+.f64 x.re x.re)) x.re)
accuracy5.351519152434322
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.re)) x.re))
Samples
200.0ms256×0valid
Compiler

Compiled 523 to 81 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 25.0ms (48.8% of total)
ival-add: 20.0ms (39% of total)
ival-sub: 2.0ms (3.9% of total)
ival-div: 2.0ms (3.9% 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)

series43.0ms (0.5%)

Memory
-12.3MiB live, 24.9MiB allocated
Counts
21 → 66
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.re)) x.re))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.im x.re)
(*.f64 (-.f64 x.re x.im) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
(*.f64 #s(literal 3 binary64) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 x.re x.re)
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
(+.f64 x.re x.im)
(-.f64 x.re x.im)
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
(*.f64 (*.f64 x.im (+.f64 x.re x.re)) x.re)
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
x.im
(+ x.im x.re)
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* 2 x.im))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(* -1 x.im)
(- x.re x.im)
(* 2 (* x.im x.re))
(* 2 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 3 x.im)
(* x.im (+ 2 (pow x.re 2)))
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(+ x.re (* -1 x.im))
(* 2 x.im)
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* x.im (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* x.im (- (/ x.re x.im) 1))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
Calls

6 calls:

TimeVariablePointExpression
29.0ms
x.im
@inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.im (+ x.re x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* x.re x.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.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (+ x.re x.im) (- x.re x.im) (* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.im (+ x.re x.re)) x.re) (* 2 x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms
x.im
@-inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.im (+ x.re x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* x.re x.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.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (+ x.re x.im) (- x.re x.im) (* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.im (+ x.re x.re)) x.re) (* 2 x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
3.0ms
x.re
@-inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.im (+ x.re x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* x.re x.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.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (+ x.re x.im) (- x.re x.im) (* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.im (+ x.re x.re)) x.re) (* 2 x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms
x.im
@0
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.im (+ x.re x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* x.re x.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.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (+ x.re x.im) (- x.re x.im) (* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.im (+ x.re x.re)) x.re) (* 2 x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
2.0ms
x.re
@inf
((+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.im (+ x.re x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (+ x.im x.re) (* (- x.re x.im) x.im) (+ (* (- (* x.re x.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.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (+ x.re x.im) (- x.re x.im) (* (+ (* (neg x.im) (/ x.im x.re)) x.im) x.re) (+ (* x.re x.im) (* x.im x.re)) (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (* x.im (+ x.re x.re)) x.re) (* 2 x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify258.0ms (3.1%)

Memory
18.7MiB live, 141.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0201778
1695617
22375546
08747529
Stop Event
iter limit
node limit
Counts
66 → 64
Calls
Call 1
Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
x.im
(+ x.im x.re)
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 (* x.im x.re))
(pow x.re 2)
(+ (* -1 (pow x.im 3)) (* 2 x.im))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(* -1 x.im)
(- x.re x.im)
(* 2 (* x.im x.re))
(* 2 (* x.im (pow x.re 2)))
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(* x.im x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ x.re (* -1 x.im)))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(* 3 x.im)
(* x.im (+ 2 (pow x.re 2)))
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(+ x.re (* -1 x.im))
(* 2 x.im)
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* x.im (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* x.im (- (/ x.re x.im) 1))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
Outputs
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
x.im
(+ x.im x.re)
(+.f64 x.re x.im)
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(*.f64 (-.f64 x.re x.im) x.im)
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* 3 (* x.im x.re))
(*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(+ (* -1 (pow x.im 3)) (* 2 x.im))
(*.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im)
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im)
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im)
(* -1 x.im)
(neg.f64 x.im)
(- x.re x.im)
(-.f64 x.re x.im)
(* 2 (* x.im x.re))
(*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re)
(* 2 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
x.re
(* x.re (+ 1 (/ x.im x.re)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* x.im x.re)
(*.f64 x.re x.im)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(*.f64 (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x.re) (/.f64 x.im x.re) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) x.re) x.re)
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) x.re x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im) x.re) x.re) x.im) (*.f64 x.re x.re))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(fma.f64 (/.f64 (neg.f64 x.im) x.re) x.re x.re)
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(* x.im (+ x.re (* -1 x.im)))
(*.f64 (-.f64 x.re x.im) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 (*.f64 x.re x.re) #s(literal 3 binary64) (*.f64 (neg.f64 x.im) x.im)) x.im)
(* 3 x.im)
(*.f64 #s(literal 3 binary64) x.im)
(* x.im (+ 2 (pow x.re 2)))
(*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (fma.f64 x.re x.re #s(literal 2 binary64))) x.im)
(+ x.re (* -1 x.im))
(-.f64 x.re x.im)
(* 2 x.im)
(*.f64 #s(literal 2 binary64) x.im)
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* x.im (+ 1 (/ x.re x.im)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 (*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im)
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) x.re (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(* x.im (- (/ x.re x.im) 1))
(*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im)
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im) x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im)

rewrite463.0ms (5.5%)

Memory
-5.3MiB live, 232.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044214
071206
1256177
21606177
08484172
Stop Event
iter limit
node limit
iter limit
Counts
21 → 920
Calls
Call 1
Inputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.re)) x.re))
(*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im))
(+.f64 x.im x.re)
(*.f64 (-.f64 x.re x.im) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
(*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))
(*.f64 #s(literal 3 binary64) x.im)
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
(*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im))
(*.f64 x.re x.re)
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
(+.f64 x.re x.im)
(-.f64 x.re x.im)
(*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)
(+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re))
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re)))
(*.f64 (*.f64 x.im (+.f64 x.re x.re)) x.re)
(*.f64 #s(literal 2 binary64) x.im)
(*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
Outputs
(*.f64 (/.f64 (fma.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.re)) x.im) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)) (-.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re))))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x.re x.re))) (pow.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x.re (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.re) (-.f64 (*.f64 #s(literal 2 binary64) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.re)))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
(pow.f64 (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)) (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x.re x.re)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.re) (-.f64 (*.f64 #s(literal 2 binary64) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x.re (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x.re x.re)) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal 2 binary64) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x.re x.re))))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x.re (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.re) (-.f64 (*.f64 #s(literal 2 binary64) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re))) (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)) (*.f64 #s(literal 4 binary64) (*.f64 x.re x.re)))) (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (*.f64 x.re x.re)) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 2 binary64) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x.re x.re)))) (neg.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x.re (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x.re (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.re) (-.f64 (*.f64 #s(literal 2 binary64) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x.re x.re))) (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)) (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x.re x.re))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.re) (-.f64 (*.f64 #s(literal 2 binary64) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x.re (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)) (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 x.re x.re)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x.re) (-.f64 (*.f64 #s(literal 2 binary64) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) x.re (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64)))))
(/.f64 (fma.f64 #s(literal 2 binary64) x.re (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x.re #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 #s(literal 2 binary64) x.re)))))
(/.f64 (fma.f64 #s(literal 2 binary64) x.re (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) x.re) (-.f64 (*.f64 #s(literal 2 binary64) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (pow.f64 (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)) #s(literal 2 binary64))))
(fma.f64 (/.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re)))) (/.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (-.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.re))
(fma.f64 (/.f64 (*.f64 (-.f64 x.re x.im) x.im) (/.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))) (/.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im))) (*.f64 #s(literal 2 binary64) x.re))
(fma.f64 (/.f64 (*.f64 (-.f64 x.re x.im) x.im) (-.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))) (/.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (pow.f64 (fma.f64 x.re x.re (*.f64 x.im (+.f64 x.re x.im))) #s(literal -1 binary64))) (*.f64 #s(literal 2 binary64) x.re))
(fma.f64 (/.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (*.f64 (/.f64 (+.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (-.f64 x.re x.im) (-.f64 x.im x.re)))) (/.f64 (*.f64 (-.f64 x.re x.im) x.im) (-.f64 x.im x.re)) (*.f64 #s(literal 2 binary64) x.re))
(fma.f64 (/.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (/.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (+.f64 (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))) (/.f64 (*.f64 (-.f64 x.re x.im) x.im) (fma.f64 x.re (-.f64 x.re x.im) (*.f64 x.im x.im))) (*.f64 #s(literal 2 binary64) x.re))
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(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re)) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64))) x.im)) (neg.f64 (fma.f64 x.re x.re #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64))))) (neg.f64 (fma.f64 x.re x.re #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 0 binary64) x.im)) #s(literal 0 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x.re x.re #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 x.re x.re) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x.re x.re))) #s(literal 0 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 0 binary64))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64))) x.re) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) x.re) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) x.re) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64))) x.im) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 0 binary64) x.im) #s(literal 3 binary64)) #s(literal 0 binary64))
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (fma.f64 x.re x.re #s(literal 0 binary64))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) #s(literal 3 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64))) x.re) (fma.f64 x.re x.re #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.re x.im) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64))) x.im) (fma.f64 x.re x.re #s(literal 0 binary64)))
(/.f64 (*.f64 x.re (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(/.f64 (*.f64 x.im (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64)))) (fma.f64 x.re x.re #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64)))) (neg.f64 (fma.f64 x.re x.re #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) x.re)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.re x.re #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x.re))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x.re #s(literal 3 binary64))) (fma.f64 x.re x.re #s(literal 0 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64))))
(fma.f64 (*.f64 x.re x.im) x.re (*.f64 (*.f64 x.re x.im) x.re))
(fma.f64 x.re (*.f64 x.re x.im) (*.f64 x.re (*.f64 x.re x.im)))
(fma.f64 x.re x.im (*.f64 x.re x.im))
(fma.f64 x.im x.re (*.f64 x.re x.im))
(-.f64 (/.f64 (*.f64 x.re x.re) #s(literal 0 binary64)) (/.f64 (*.f64 x.re x.re) #s(literal 0 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)) (/.f64 (pow.f64 (*.f64 x.re x.im) #s(literal 2 binary64)) #s(literal 0 binary64)))
(exp.f64 (fma.f64 (log.f64 x.re) #s(literal 3 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.re)) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.re)) #s(literal 3 binary64) (*.f64 (log.f64 x.re) #s(literal 3 binary64))))
(exp.f64 (fma.f64 (log.f64 x.im) #s(literal 3 binary64) (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.re)) #s(literal 3 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.re)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) x.re)) #s(literal 3 binary64)))
(+.f64 (*.f64 (*.f64 x.re x.im) x.re) (*.f64 (*.f64 x.re x.im) x.re))
(+.f64 (*.f64 x.re (*.f64 x.re x.im)) (*.f64 x.re (*.f64 x.re x.im)))
(+.f64 (*.f64 x.re x.im) (*.f64 x.re x.im))
(+.f64 x.re x.re)

eval105.0ms (1.2%)

Memory
6.4MiB live, 236.9MiB allocated
Compiler

Compiled 30 722 to 2 582 computations (91.6% saved)

prune53.0ms (0.6%)

Memory
1.1MiB live, 79.8MiB allocated
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New8689877
Fresh5510
Picked325
Done000
Total87616892
Accuracy
100.0%
Counts
892 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.6%
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.re))
92.4%
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
65.5%
(fma.f64 x.re (+.f64 x.im x.im) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)))
22.6%
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (-.f64 x.im x.re) #s(literal 1 binary64))) (*.f64 (-.f64 x.im x.re) (*.f64 #s(literal 2 binary64) x.im)))
91.6%
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.re)) x.re))
54.6%
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)))
67.5%
(*.f64 x.im (fma.f64 #s(literal 2 binary64) x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
90.7%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
51.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #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)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
55.4%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
55.4%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)))
55.5%
#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))))
38.4%
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im))
19.0%
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
56.0%
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
Compiler

Compiled 680 to 406 computations (40.3% saved)

simplify273.0ms (3.2%)

Memory
-12.3MiB live, 272.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 4 (0.0ms)

IterNodesCost
040215
062212
1124209
2256207
3641199
41597187
53330187
66997187
08150187
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(*.f64 x.re x.im)
x.re
x.im
(*.f64 #s(literal 2 binary64) x.re)
#s(literal 2 binary64)
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
(*.f64 (+.f64 x.re x.im) x.im)
(+.f64 x.re x.im)
(-.f64 x.re x.im)
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
(*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)
(fma.f64 x.re x.re #s(literal 2 binary64))
x.re
#s(literal 2 binary64)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
(*.f64 #s(literal 3 binary64) x.re)
#s(literal 3 binary64)
x.re
(*.f64 x.re x.im)
x.im
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)))
x.im
(fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64))
(-.f64 x.re x.im)
x.re
(+.f64 x.re x.im)
#s(literal 2 binary64)
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.re))
(+.f64 x.re x.im)
x.re
x.im
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))
(*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im)
(/.f64 x.im x.re)
(neg.f64 x.im)
(*.f64 #s(literal 2 binary64) x.re)
#s(literal 2 binary64)
Outputs
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)
(*.f64 x.re x.im)
(*.f64 x.im x.re)
x.re
x.im
(*.f64 #s(literal 2 binary64) x.re)
#s(literal 2 binary64)
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(*.f64 (+.f64 x.re x.im) x.im)
(*.f64 (+.f64 x.im x.re) x.im)
(+.f64 x.re x.im)
(+.f64 x.im x.re)
(-.f64 x.re x.im)
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
(*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)
(fma.f64 x.re x.re #s(literal 2 binary64))
x.re
#s(literal 2 binary64)
x.im
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re)))
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
(*.f64 (*.f64 #s(literal 3 binary64) x.im) (*.f64 x.re x.re))
(*.f64 #s(literal 3 binary64) x.re)
#s(literal 3 binary64)
x.re
(*.f64 x.re x.im)
(*.f64 x.im x.re)
x.im
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)))
(*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)) x.im)
x.im
(fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64))
(fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64))
(-.f64 x.re x.im)
x.re
(+.f64 x.re x.im)
(+.f64 x.im x.re)
#s(literal 2 binary64)
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.re))
(fma.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.im x.re) (*.f64 #s(literal 2 binary64) x.re))
(+.f64 x.re x.im)
(+.f64 x.im x.re)
x.re
x.im
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))
#s(approx (* (- x.re x.im) x.im) (*.f64 (-.f64 x.re x.im) x.im))
(*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)
(*.f64 (-.f64 x.re x.im) x.im)
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im)
(/.f64 (*.f64 (-.f64 x.re x.im) x.im) x.re)
(/.f64 x.im x.re)
(neg.f64 x.im)
(*.f64 #s(literal 2 binary64) x.re)
#s(literal 2 binary64)

localize94.0ms (1.1%)

Memory
-4.8MiB live, 193.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))
accuracy0.0625
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.re))
accuracy0.0703125
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im)
accuracy4.005931608482633
(*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)
accuracy0
(fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64))
accuracy0
(-.f64 x.re x.im)
accuracy0
(+.f64 x.re x.im)
accuracy2.917327069212397
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)))
accuracy0
(*.f64 x.re x.im)
accuracy0
(*.f64 #s(literal 3 binary64) x.re)
accuracy0.203125
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
accuracy28.417295129759506
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
accuracy0
(fma.f64 x.re x.re #s(literal 2 binary64))
accuracy2.889983319212397
(*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)
accuracy23.300985822390746
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
accuracy0
(*.f64 #s(literal 2 binary64) x.re)
accuracy0.00390625
(*.f64 (+.f64 x.re x.im) x.im)
accuracy0.10546875
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
accuracy4.81246078077391
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
Samples
71.0ms256×0valid
Compiler

Compiled 405 to 80 computations (80.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-mult: 31.0ms (65.8% of total)
ival-add: 10.0ms (21.2% of total)
ival-sub: 2.0ms (4.2% of total)
ival-div: 2.0ms (4.2% of total)
ival-neg: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
6.0MiB live, 44.7MiB allocated
Counts
19 → 109
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(*.f64 x.re x.im)
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 (+.f64 x.re x.im) x.im)
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
(*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)
(fma.f64 x.re x.re #s(literal 2 binary64))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
(*.f64 #s(literal 3 binary64) x.re)
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)))
(fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64))
(-.f64 x.re x.im)
(+.f64 x.re x.im)
(*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.re))
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im)
Outputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* x.im x.re)
(* 2 x.re)
(pow x.im 2)
(+ (* x.im x.re) (pow x.im 2))
(+ (* -1 (pow x.im 3)) (* 2 x.im))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(* 2 x.im)
(+ (* 2 x.im) (* x.im (pow x.re 2)))
2
(+ 2 (pow x.re 2))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 x.re)
(* x.im (+ 2 (* -1 (pow x.im 2))))
(+ (* x.im (* x.re (+ x.im (* -1 x.im)))) (* x.im (+ 2 (* -1 (pow x.im 2)))))
(+ (* x.im (+ 2 (* -1 (pow x.im 2)))) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(+ 2 (* -1 (pow x.im 2)))
(+ 2 (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(+ 2 (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(* -1 x.im)
(- x.re x.im)
x.im
(+ x.im x.re)
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.re (+ 2 (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ 2 (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(* -1 (/ (pow x.im 2) x.re))
(/ (+ (* -1 (pow x.im 2)) (* x.im x.re)) x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (* 2 (/ x.im (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* 2 (/ 1 (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (/ (* x.im (+ 2 (* -1 (pow x.im 2)))) (pow x.re 2)) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ 2 (pow x.re 2)) (/ x.im x.re))))))
x.re
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* (pow x.re 2) (+ x.im (+ (* 2 (/ 1 x.re)) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ 1 x.re)) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(+ x.im (* -1 (/ (pow x.im 2) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (* x.im (+ 2 (* -1 (pow x.im 2)))) x.re))) x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ 2 (* -1 (pow x.im 2))) x.re))) x.re))))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (- (* -1 (* x.im (+ x.im (* -1 x.im)))) 2) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (- (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) 2) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ x.im x.re))
(* x.im (+ 2 (pow x.re 2)))
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(+ x.re (* -1 x.im))
(* x.im (+ x.re (* -1 x.im)))
(+ (* 2 x.re) (* x.im (pow x.re 2)))
(+ (* 2 x.re) (* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(+ (* 2 x.re) (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (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) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* x.im (- (/ x.re x.im) 1))
(* x.im (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ x.re (pow x.im 3))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (+ (* 2 (/ 1 x.im)) (/ (pow x.re 2) x.im))) x.im)))))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ 2 (pow x.re 2)) x.im)))) x.im)) 1))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (/ x.re x.im)) (* -1 (pow x.re 2))) x.im))) x.im)))))
Calls

6 calls:

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

simplify103.0ms (1.2%)

Memory
25.1MiB live, 178.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03241370
111191043
23960947
08310905
Stop Event
iter limit
node limit
Counts
109 → 107
Calls
Call 1
Inputs
(* -1 (pow x.im 3))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(* x.im x.re)
(* 2 x.re)
(pow x.im 2)
(+ (* x.im x.re) (pow x.im 2))
(+ (* -1 (pow x.im 3)) (* 2 x.im))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(* 2 x.im)
(+ (* 2 x.im) (* x.im (pow x.re 2)))
2
(+ 2 (pow x.re 2))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(* 3 (* x.im (pow x.re 2)))
(* 3 x.re)
(* x.im (+ 2 (* -1 (pow x.im 2))))
(+ (* x.im (* x.re (+ x.im (* -1 x.im)))) (* x.im (+ 2 (* -1 (pow x.im 2)))))
(+ (* x.im (+ 2 (* -1 (pow x.im 2)))) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(+ 2 (* -1 (pow x.im 2)))
(+ 2 (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(+ 2 (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(* -1 x.im)
(- x.re x.im)
x.im
(+ x.im x.re)
(* -1 (pow x.im 2))
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(+ (* -1 (pow x.im 3)) (* x.re (+ 2 (* x.im (+ x.im (* -1 x.im))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ 2 (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(* -1 (/ (pow x.im 2) x.re))
(/ (+ (* -1 (pow x.im 2)) (* x.im x.re)) x.re)
(* (pow x.re 2) (+ x.im (* 2 x.im)))
(* (pow x.re 2) (+ x.im (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(* x.im (pow x.re 2))
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (* 2 (/ x.im (pow x.re 2)))))
(pow x.re 2)
(* (pow x.re 2) (+ 1 (* 2 (/ 1 (pow x.re 2)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(* (pow x.re 2) (+ x.im (+ (/ (* x.im (+ 2 (* -1 (pow x.im 2)))) (pow x.re 2)) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ 2 (pow x.re 2)) (/ x.im x.re))))))
x.re
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(* x.re (+ 1 (/ x.im x.re)))
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(* (pow x.re 2) (+ x.im (+ (* 2 (/ 1 x.re)) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ 1 x.re)) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(+ x.im (* -1 (/ (pow x.im 2) x.re)))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (* x.im (+ 2 (* -1 (pow x.im 2)))) x.re))) x.re))))
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ 2 (* -1 (pow x.im 2))) x.re))) x.re))))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (- (* -1 (* x.im (+ x.im (* -1 x.im)))) 2) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (- (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) 2) x.re))))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(* x.im (+ (* 2 (pow x.re 2)) (pow x.re 2)))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ x.im x.re))
(* x.im (+ 2 (pow x.re 2)))
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(+ x.re (* -1 x.im))
(* x.im (+ x.re (* -1 x.im)))
(+ (* 2 x.re) (* x.im (pow x.re 2)))
(+ (* 2 x.re) (* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(+ (* 2 x.re) (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(* x.im (+ 1 (* -1 (/ x.im x.re))))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (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) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* x.im (- (/ x.re x.im) 1))
(* x.im (+ 1 (/ x.re x.im)))
(* (pow x.im 2) (- (/ x.re x.im) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ x.re (pow x.im 3))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re)))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -2 (/ (pow x.re 2) (pow x.im 2))) (* -1 (/ (pow x.re 2) (pow x.im 2)))))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (+ (* 2 (/ 1 x.im)) (/ (pow x.re 2) x.im))) x.im)))))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ 2 (pow x.re 2)) x.im)))) x.im)) 1))
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (/ x.re x.im)) (* -1 (pow x.re 2))) x.im))) x.im)))))
Outputs
(* -1 (pow x.im 3))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.im (* x.re (+ x.im (* -1 x.im)))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im (+ x.im (* -1 x.im))) (* x.re (+ x.im (* 2 x.im))))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im x.re)
(*.f64 x.im x.re)
(* 2 x.re)
(*.f64 #s(literal 2 binary64) x.re)
(pow x.im 2)
(*.f64 x.im x.im)
(+ (* x.im x.re) (pow x.im 2))
(*.f64 (+.f64 x.im x.re) x.im)
(+ (* -1 (pow x.im 3)) (* 2 x.im))
(*.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im)
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.im (* x.re (+ x.im (* -1 x.im))))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im)
(+ (* -1 (pow x.im 3)) (+ (* 2 x.im) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(*.f64 (fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(* 2 x.im)
(*.f64 #s(literal 2 binary64) x.im)
(+ (* 2 x.im) (* x.im (pow x.re 2)))
(*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)
2
#s(literal 2 binary64)
(+ 2 (pow x.re 2))
(fma.f64 x.re x.re #s(literal 2 binary64))
(+ (* -1 (pow x.im 3)) (* (pow x.re 2) (+ x.im (* 2 x.im))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)
(* 3 (* x.im (pow x.re 2)))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* 3 x.re)
(*.f64 #s(literal 3 binary64) x.re)
(* x.im (+ 2 (* -1 (pow x.im 2))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im)
(+ (* x.im (* x.re (+ x.im (* -1 x.im)))) (* x.im (+ 2 (* -1 (pow x.im 2)))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im)
(+ (* x.im (+ 2 (* -1 (pow x.im 2)))) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(*.f64 (fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(+ 2 (* -1 (pow x.im 2)))
(fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64))
(+ 2 (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (* -1 x.im)))))
(fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64))
(+ 2 (+ (* -1 (pow x.im 2)) (* x.re (+ x.im (+ x.re (* -1 x.im))))))
(fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) #s(literal 2 binary64))
(* -1 x.im)
(neg.f64 x.im)
(- x.re x.im)
(-.f64 x.re x.im)
x.im
(+ x.im x.re)
(+.f64 x.im x.re)
(* -1 (pow x.im 2))
(*.f64 (neg.f64 x.im) x.im)
(+ (* -1 (pow x.im 2)) (* x.im x.re))
(*.f64 (-.f64 x.re x.im) x.im)
(+ (* -1 (pow x.im 3)) (* x.re (+ 2 (* x.im (+ x.im (* -1 x.im))))))
(fma.f64 #s(literal 2 binary64) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+ (* -1 (pow x.im 3)) (* x.re (+ 2 (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im)))))))
(fma.f64 (fma.f64 x.im x.re #s(literal 2 binary64)) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+ (* -1 (pow x.im 3)) (* x.re (+ (* x.im x.re) (* x.im (+ x.im (* -1 x.im))))))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(* -1 (/ (pow x.im 2) x.re))
(/.f64 (*.f64 (neg.f64 x.im) x.im) x.re)
(/ (+ (* -1 (pow x.im 2)) (* x.im x.re)) x.re)
(/.f64 (*.f64 (-.f64 x.re x.im) x.im) x.re)
(* (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 (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 x.im) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* x.re (+ x.im (/ (pow x.im 2) x.re)))
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
(* x.im (pow x.re 2))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (/ (* x.im (+ x.im (* -1 x.im))) x.re)))
(*.f64 (*.f64 x.re x.re) x.im)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ x.im (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) (/.f64 x.im (*.f64 x.re x.re)) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (* 2 (/ x.im (pow x.re 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 x.im (*.f64 x.re x.re)) #s(literal 2 binary64) x.im) x.re) x.re)
(pow x.re 2)
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (* 2 (/ 1 (pow x.re 2)))))
(fma.f64 x.re x.re #s(literal 2 binary64))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (/ (* x.im (+ 2 (* -1 (pow x.im 2)))) (pow x.re 2)) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) (/.f64 x.im (*.f64 x.re x.re)) x.im) x.re) x.re)
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (/ x.im x.re))))
(*.f64 x.re x.re)
(* (pow x.re 2) (+ 1 (+ (* -1 (/ x.im x.re)) (+ (* -1 (/ (pow x.im 2) (pow x.re 2))) (+ (/ 2 (pow x.re 2)) (/ x.im x.re))))))
(*.f64 x.re (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.re) x.re) x.re x.re))
x.re
(* x.re (+ 1 (* -1 (/ x.im x.re))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re)
(* x.re (+ 1 (/ x.im x.re)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* x.re (+ x.im (* -1 (/ (pow x.im 2) x.re))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.im) x.re)
(* (pow x.re 2) (+ x.im (+ (* 2 (/ 1 x.re)) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 (*.f64 (-.f64 x.im (/.f64 #s(literal -2 binary64) x.re)) x.re) x.re)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (+ (* 2 (/ 1 x.re)) (/ (* x.im (+ x.im (* -1 x.im))) x.re)))))
(*.f64 (-.f64 x.im (/.f64 (-.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) #s(literal 2 binary64)) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (pow x.im 3) (pow x.re 2))) (/ (* x.im (+ x.im (* -1 x.im))) x.re))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(+ x.im (* -1 (/ (pow x.im 2) x.re)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.im)
(* (pow x.re 2) (+ x.im (+ (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re)) (* 2 x.im))))
(*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* -1 (* x.re (+ (* -1 x.im) (* -1 (/ (pow x.im 2) x.re)))))
(*.f64 (fma.f64 (/.f64 x.im x.re) x.im x.im) x.re)
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (+ (* -1 (pow x.im 3)) (* 2 x.im)) x.re))) x.re))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) (/.f64 x.im (*.f64 x.re x.re)) x.im) x.re) x.re)
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (* -1 (/ (* x.im (+ 2 (* -1 (pow x.im 2)))) x.re))) x.re))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) (/.f64 x.im (*.f64 x.re x.re)) x.im) x.re) x.re)
(* (pow x.re 2) (+ 1 (* -1 (/ (+ (* -1 (+ x.im (* -1 x.im))) (* -1 (/ (+ 2 (* -1 (pow x.im 2))) x.re))) x.re))))
(*.f64 x.re (fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.re) x.re) x.re x.re))
(* -1 (* x.re (- (/ x.im x.re) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.re)
(* -1 (* x.re (- (* -1 (/ x.im x.re)) 1)))
(fma.f64 (/.f64 x.im x.re) x.re x.re)
(* -1 (* x.re (+ (* -1 x.im) (/ (pow x.im 2) x.re))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.im) x.re)
(* (pow x.re 2) (+ x.im (* -1 (/ (- (* -1 (* x.im (+ x.im (* -1 x.im)))) 2) x.re))))
(*.f64 (*.f64 (-.f64 x.im (/.f64 #s(literal -2 binary64) x.re)) x.re) x.re)
(* (pow x.re 2) (+ x.im (* -1 (/ (- (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) 2) x.re))))
(*.f64 (-.f64 x.im (/.f64 (-.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) #s(literal 2 binary64)) x.re)) (*.f64 x.re x.re))
(* (pow x.re 2) (+ x.im (* -1 (/ (+ (* -1 (* x.im (+ x.im (* -1 x.im)))) (/ (pow x.im 3) x.re)) x.re))))
(*.f64 (-.f64 x.im (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re))
(* 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 (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64))
(* x.im (+ (* 2 (pow x.re 2)) (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)
(* x.im (+ x.im x.re))
(*.f64 (+.f64 x.im x.re) x.im)
(* x.im (+ 2 (pow x.re 2)))
(*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)
(* x.im (+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)
(* x.im (+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(*.f64 (fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) #s(literal 2 binary64)) x.im)
(* x.im (+ (* -1 (pow x.im 2)) (+ (* 2 (pow x.re 2)) (pow x.re 2))))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x.re) x.re (*.f64 (neg.f64 x.im) x.im)) x.im)
(+ 2 (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(fma.f64 x.re x.re #s(literal 2 binary64))
(+ 2 (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(fma.f64 (+.f64 x.im x.re) (-.f64 x.re x.im) #s(literal 2 binary64))
(+ x.re (* -1 x.im))
(-.f64 x.re x.im)
(* x.im (+ x.re (* -1 x.im)))
(*.f64 (-.f64 x.re x.im) x.im)
(+ (* 2 x.re) (* x.im (pow x.re 2)))
(*.f64 (fma.f64 x.im x.re #s(literal 2 binary64)) x.re)
(+ (* 2 x.re) (* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2))))
(*.f64 (fma.f64 x.im x.re #s(literal 2 binary64)) x.re)
(+ (* 2 x.re) (* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2))))
(fma.f64 (fma.f64 x.im x.re #s(literal 2 binary64)) x.re (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(* x.im (+ (* x.im (+ x.re (* -1 x.re))) (pow x.re 2)))
(*.f64 (*.f64 x.re x.re) x.im)
(* x.im (+ (* x.im (+ x.re (+ (* -1 x.im) (* -1 x.re)))) (pow x.re 2)))
(*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im)
(* x.im (+ 1 (* -1 (/ x.im x.re))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x.im x.re)) x.im)
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (fma.f64 (*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 2) (+ 1 (/ x.re x.im)))
(*.f64 (fma.f64 (/.f64 x.re x.im) x.im x.im) x.im)
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64))) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* 2 (/ (pow x.re 2) (pow x.im 2))) (/ (pow x.re 2) (pow x.im 2))) 1))
(*.f64 (fma.f64 (*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (/ x.re x.im)) 1))
(*.f64 (neg.f64 x.im) x.im)
(* (pow x.im 2) (- (+ (* -1 (/ x.re x.im)) (+ (/ 2 (pow x.im 2)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x.im x.im)) #s(literal 1 binary64))) (*.f64 x.im x.im))
(* x.im (- (/ x.re x.im) 1))
(*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im)
(* x.im (+ 1 (/ x.re x.im)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* (pow x.im 2) (- (/ x.re x.im) 1))
(*.f64 (*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im) x.im)
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2)))) 1))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 3) (- (+ (* -1 (/ x.re x.im)) (+ (* 2 (/ x.re (pow x.im 3))) (+ (/ x.re x.im) (/ (pow x.re 2) (pow x.im 2))))) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 x.re x.im) x.im) (+.f64 (/.f64 #s(literal 2 binary64) x.im) x.re) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 2) (- (/ 1 x.im) (/ 1 x.re)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)) (*.f64 x.im x.im))
(* -1 (* (pow x.im 3) (+ 1 (+ (* -1 (/ x.re x.im)) (/ x.re x.im)))))
(neg.f64 (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (pow x.re 2)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(*.f64 (fma.f64 (*.f64 (/.f64 x.re x.im) (/.f64 x.re x.im)) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (- (* -1 (pow x.re 2)) 2) x.im))) x.im)))))
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im) x.im) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (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) (/.f64 x.re x.im)) #s(literal 3 binary64) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (+ (* 2 (/ 1 x.im)) (/ (pow x.re 2) x.im))) x.im)))))
(*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im) x.im) #s(literal 1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* (pow x.im 2) (- (* -1 (/ (+ x.re (* -1 x.re)) x.im)) 1))
(*.f64 (neg.f64 x.im) x.im)
(* (pow x.im 2) (- (* -1 (/ (+ x.re (+ (* -1 x.re) (* -1 (/ (+ 2 (pow x.re 2)) x.im)))) x.im)) 1))
(*.f64 (*.f64 (-.f64 (/.f64 (/.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im) x.im) #s(literal 1 binary64)) x.im) x.im)
(* -1 (* x.im (+ 1 (* -1 (/ x.re x.im)))))
(*.f64 (-.f64 (/.f64 x.re x.im) #s(literal 1 binary64)) x.im)
(* -1 (* x.im (- (* -1 (/ x.re x.im)) 1)))
(fma.f64 (/.f64 x.re x.im) x.im x.im)
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (/ (pow x.re 2) x.im)) x.im)))))
(*.f64 (fma.f64 (/.f64 x.re x.im) (/.f64 x.re x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))
(* -1 (* (pow x.im 3) (+ 1 (* -1 (/ (+ (* -1 (+ x.re (* -1 x.re))) (* -1 (/ (+ (* -2 (/ x.re x.im)) (* -1 (pow x.re 2))) x.im))) x.im)))))
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 x.re x.re (neg.f64 (*.f64 #s(literal -2 binary64) (/.f64 x.re x.im)))) x.im) x.im) #s(literal -1 binary64)) (pow.f64 x.im #s(literal 3 binary64)))

rewrite260.0ms (3.1%)

Memory
-28.1MiB live, 378.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040180
062177
1266172
22013172
08523170
Stop Event
iter limit
node limit
iter limit
Counts
19 → 781
Calls
Call 1
Inputs
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(*.f64 x.re x.im)
(*.f64 #s(literal 2 binary64) x.re)
(*.f64 (+.f64 x.re x.im) x.im)
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
(*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im)
(fma.f64 x.re x.re #s(literal 2 binary64))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
(*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im))
(*.f64 #s(literal 3 binary64) x.re)
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)))
(fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64))
(-.f64 x.re x.im)
(+.f64 x.re x.im)
(*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.re))
#s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re))
(*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im)
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 (neg.f64 (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.im x.re))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))) (pow.f64 (fma.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im (*.f64 (neg.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) (fma.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im (*.f64 (neg.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.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 (neg.f64 (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.im x.re))) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 (neg.f64 (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.im x.re))) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) (fma.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im (*.f64 (neg.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im (*.f64 (neg.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 (neg.f64 (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.im x.re))) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 2 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 (neg.f64 (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.im x.re))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) (fma.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im (*.f64 (neg.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) (pow.f64 x.re #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.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 (neg.f64 (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.im x.re))) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im (*.f64 (neg.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 (neg.f64 (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.im x.re)))) (*.f64 (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 (neg.f64 (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.im x.re))) (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 (neg.f64 (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.im x.re))) (fma.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re (*.f64 (neg.f64 (*.f64 (-.f64 x.re x.im) x.im)) (+.f64 x.im x.re)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im) #s(literal 2 binary64)) (fma.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im (*.f64 (neg.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (*.f64 (fma.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im (*.f64 (neg.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (pow.f64 (*.f64 (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)) x.re) #s(literal 2 binary64)))) (*.f64 (fma.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im (*.f64 (neg.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (fma.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 x.re x.re)) x.im (*.f64 (neg.f64 x.re) (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) x.re) (fma.f64 x.im x.im (*.f64 x.re x.re)) (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im))) (*.f64 #s(literal 0 binary64) (fma.f64 x.im x.im (*.f64 x.re x.re))))
(/.f64 (fma.f64 (*.f64 #s(literal 0 binary64) x.re) (fma.f64 (*.f64 x.im x.im) (fma.f64 x.im x.im (*.f64 x.re x.re)) (pow.f64 x.re #s(literal 4 binary64))) (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 (pow.f64 x.re #s(literal 6 binary64)) (pow.f64 x.im #s(literal 6 binary64))) x.im))) (*.f64 #s(literal 0 binary64) (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)))))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x.im (-.f64 x.im (*.f64 (neg.f64 x.im) (/.f64 x.im x.re))) (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) (neg.f64 x.im)) (-.f64 (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 2 binary64)) (*.f64 x.im x.im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x.im (-.f64 x.im (*.f64 (neg.f64 x.im) (/.f64 x.im x.re))) (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.im x.im (-.f64 (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 2 binary64)) (*.f64 (neg.f64 x.im) (*.f64 (/.f64 x.im x.re) x.im)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 3 binary64)) (pow.f64 x.im #s(literal 3 binary64))) (fma.f64 x.im (-.f64 x.im (*.f64 (neg.f64 x.im) (/.f64 x.im x.re))) (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 2 binary64))))
(fma.f64 (/.f64 (neg.f64 x.im) #s(literal -1 binary64)) (/.f64 (neg.f64 x.im) x.re) x.im)
(fma.f64 (/.f64 #s(literal -1 binary64) x.re) (/.f64 x.im (pow.f64 x.im #s(literal -1 binary64))) x.im)
(fma.f64 (*.f64 (/.f64 x.im x.re) #s(literal -1 binary64)) x.im x.im)
(fma.f64 (/.f64 (neg.f64 x.im) x.re) (/.f64 #s(literal 1 binary64) (pow.f64 x.im #s(literal -1 binary64))) x.im)
(fma.f64 (neg.f64 (/.f64 x.im x.re)) x.im x.im)
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 x.im x.re) x.im) x.im)
(fma.f64 (*.f64 (neg.f64 x.im) x.im) (pow.f64 x.re #s(literal -1 binary64)) x.im)
(fma.f64 (pow.f64 x.re #s(literal -1 binary64)) (/.f64 (neg.f64 x.im) (pow.f64 x.im #s(literal -1 binary64))) x.im)
(fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im)
(fma.f64 (/.f64 x.im x.re) (/.f64 #s(literal -1 binary64) (pow.f64 x.im #s(literal -1 binary64))) x.im)
(fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im)
(fma.f64 x.im (*.f64 (pow.f64 x.re #s(literal -1 binary64)) (neg.f64 x.im)) x.im)
(fma.f64 x.im (/.f64 (neg.f64 x.im) x.re) x.im)
(-.f64 (/.f64 (*.f64 x.im x.im) (-.f64 x.im (*.f64 (neg.f64 x.im) (/.f64 x.im x.re)))) (/.f64 (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 2 binary64)) (-.f64 x.im (*.f64 (neg.f64 x.im) (/.f64 x.im x.re)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 x.im x.re) x.im) #s(literal 2 binary64)) (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) (neg.f64 x.im))) (/.f64 (*.f64 x.im x.im) (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) (neg.f64 x.im))))
(-.f64 x.im (*.f64 (/.f64 x.im x.re) x.im))
(+.f64 (*.f64 (neg.f64 x.im) (/.f64 x.im x.re)) x.im)
(+.f64 x.im (*.f64 (neg.f64 x.im) (/.f64 x.im x.re)))

eval119.0ms (1.4%)

Memory
31.9MiB live, 263.7MiB allocated
Compiler

Compiled 35 561 to 3 214 computations (91% saved)

prune65.0ms (0.8%)

Memory
6.9MiB live, 89.6MiB allocated
Pruning

19 alts after pruning (12 fresh and 7 done)

PrunedKeptTotal
New1 04761 053
Fresh369
Picked055
Done022
Total1 050191 069
Accuracy
100.0%
Counts
1 069 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.6%
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.re))
54.9%
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 #s(approx (+ (* (/ x.im x.re) (neg x.im)) x.im) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)) (*.f64 x.im x.im))) x.re)) (*.f64 #s(literal 2 binary64) x.re))
92.4%
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
65.5%
(fma.f64 x.re (+.f64 x.im x.im) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)))
22.6%
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (-.f64 x.im x.re) #s(literal 1 binary64))) (*.f64 (-.f64 x.im x.re) (*.f64 #s(literal 2 binary64) x.im)))
91.6%
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.re)) x.re))
54.6%
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)))
56.0%
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)))
29.5%
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 x.re x.re)))
90.7%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
51.1%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #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)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
55.4%
#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.im) x.re))
55.4%
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
55.5%
#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))))
17.7%
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.re)) (*.f64 (fma.f64 x.im x.re #s(literal 2 binary64)) x.re))
19.0%
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
3.1%
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 #s(approx (+ (* x.re x.re) 2) #s(literal 2 binary64)) x.im))
56.0%
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
Compiler

Compiled 1 414 to 458 computations (67.6% saved)

regimes65.0ms (0.8%)

Memory
-25.1MiB live, 53.3MiB allocated
Counts
41 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 #s(approx (+ (* x.re x.re) 2) #s(literal 2 binary64)) x.im))
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 x.re x.re)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.re)) (*.f64 (fma.f64 x.im x.re #s(literal 2 binary64)) x.re))
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(fma.f64 x.im #s(literal 2 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.re)) x.re))
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(+.f64 (*.f64 #s(approx (- (* x.re x.re) (* x.im x.im)) (*.f64 (neg.f64 x.im) x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (*.f64 #s(literal 2 binary64) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 x.re (+.f64 x.im x.im) (*.f64 #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (/.f64 x.im x.re) (neg.f64 x.im) x.im) x.re)) (+.f64 x.re x.im)))
(+.f64 (*.f64 #s(approx (+ x.im x.re) (fma.f64 (/.f64 x.im x.re) x.re x.re)) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (+.f64 x.im x.re) #s(approx (* (- x.re x.im) x.im) (*.f64 (fma.f64 (neg.f64 x.im) (/.f64 x.im x.re) x.im) x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(fma.f64 (+.f64 x.re x.im) #s(approx (* (- x.re x.im) x.im) (*.f64 #s(approx (+ (* (/ x.im x.re) (neg x.im)) x.im) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x.im) (/.f64 #s(literal 1 binary64) x.re)) (*.f64 x.im x.im))) x.re)) (*.f64 #s(literal 2 binary64) x.re))
(/.f64 (fma.f64 (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (*.f64 #s(literal 2 binary64) x.im) (*.f64 (-.f64 x.im x.re) #s(literal 1 binary64))) (*.f64 (-.f64 x.im x.re) (*.f64 #s(literal 2 binary64) x.im)))
#s(approx (+ (* (+ x.im x.re) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (neg.f64 (pow.f64 x.im #s(literal 3 binary64))))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (neg.f64 (pow.f64 x.im #s(literal 3 binary64)))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (-.f64 (*.f64 #s(literal 3 binary64) x.im) (/.f64 (/.f64 (pow.f64 x.im #s(literal 3 binary64)) x.re) x.re)) (*.f64 x.re x.re)))
(+.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (*.f64 (*.f64 (neg.f64 x.im) x.im) (*.f64 (neg.f64 x.im) x.im))) (-.f64 (*.f64 x.re x.re) (*.f64 (neg.f64 x.im) x.im))) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 x.re x.im) (*.f64 (+.f64 x.re x.im) (-.f64 x.im x.re))) (/.f64 (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im)) (pow.f64 (-.f64 x.im x.re) #s(literal -1 binary64)))) x.im) (*.f64 (*.f64 x.re (+.f64 x.im x.im)) x.re))
(+.f64 (/.f64 (*.f64 (-.f64 (pow.f64 x.re #s(literal 4 binary64)) (pow.f64 x.im #s(literal 4 binary64))) x.im) (fma.f64 x.im x.im (*.f64 x.re x.re))) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))) x.re))
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 3 binary64))) x.re) (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x.im x.re) #s(literal 2 binary64)))))
Outputs
(fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im)))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)))
Calls

3 calls:

28.0ms
(+.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))
24.0ms
x.re
11.0ms
x.im
Results
AccuracySegmentsBranch
95.9%2x.re
99.8%2x.im
99.8%2(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes14.0ms (0.2%)

Memory
24.5MiB live, 24.5MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 #s(approx (+ (* x.re x.re) 2) #s(literal 2 binary64)) x.im))
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 x.re x.re)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.re)) (*.f64 (fma.f64 x.im x.re #s(literal 2 binary64)) x.re))
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(fma.f64 x.im #s(literal 2 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.re)) x.re))
Outputs
(+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.re)) x.re))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)))
Calls

2 calls:

7.0ms
x.im
6.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
99.8%2x.im
99.8%2(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes36.0ms (0.4%)

Memory
-7.5MiB live, 44.2MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 #s(approx (+ (* x.re x.re) 2) #s(literal 2 binary64)) x.im))
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 x.re x.re)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.re)) (*.f64 (fma.f64 x.im x.re #s(literal 2 binary64)) x.re))
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(fma.f64 x.im #s(literal 2 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
(+.f64 #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Outputs
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)))
Calls

2 calls:

28.0ms
(+.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))
6.0ms
x.im
Results
AccuracySegmentsBranch
99.4%3x.im
99.8%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes18.0ms (0.2%)

Memory
-19.6MiB live, 20.1MiB allocated
Counts
19 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 #s(approx (+ (* x.re x.re) 2) #s(literal 2 binary64)) x.im))
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 x.re x.re)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.re)) (*.f64 (fma.f64 x.im x.re #s(literal 2 binary64)) x.re))
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(fma.f64 x.im #s(literal 2 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)))
(*.f64 x.im (fma.f64 #s(literal 2 binary64) x.re (*.f64 (-.f64 x.re x.im) (+.f64 x.re x.im))))
(fma.f64 (+.f64 x.re x.im) (*.f64 (-.f64 x.re x.im) x.im) (*.f64 #s(literal 2 binary64) x.im))
Outputs
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
(*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)))
Calls

2 calls:

6.0ms
x.im
5.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
89.6%2x.im
99.4%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes11.0ms (0.1%)

Memory
19.0MiB live, 19.0MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 #s(approx (+ (* x.re x.re) 2) #s(literal 2 binary64)) x.im))
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 x.re x.re)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.re)) (*.f64 (fma.f64 x.im x.re #s(literal 2 binary64)) x.re))
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) x.re) (*.f64 x.re x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 x.re x.re)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 x.re x.re) (*.f64 #s(literal 3 binary64) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.im) x.re))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.im) x.re) #s(literal 3 binary64)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) #s(literal 3 binary64)) x.im))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 x.re x.re) x.im) #s(literal 3 binary64)))
(fma.f64 x.im #s(literal 2 binary64) #s(approx (* (- (* x.re x.re) (* x.im x.im)) x.im) (*.f64 (*.f64 x.re x.re) x.im)))
Outputs
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)))
#s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im))))
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)))
Calls

2 calls:

5.0ms
x.re
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
86.0%2x.re
97.5%3(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 20 to 13 computations (35% saved)

regimes19.0ms (0.2%)

Memory
-23.4MiB live, 16.2MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 #s(approx (+ (* x.re x.re) 2) #s(literal 2 binary64)) x.im))
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 x.re x.re)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.re)) (*.f64 (fma.f64 x.im x.re #s(literal 2 binary64)) x.re))
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 (neg.f64 x.im) x.im #s(literal 2 binary64)) x.im))
Outputs
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)))
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 x.re x.re)))
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)))
Calls

3 calls:

13.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
3.0ms
x.re
3.0ms
x.im
Results
AccuracySegmentsBranch
65.1%2x.re
61.0%2x.im
71.5%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)

regimes7.0ms (0.1%)

Memory
13.8MiB live, 13.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 #s(approx (+ (* x.re x.re) 2) #s(literal 2 binary64)) x.im))
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 x.re x.re)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 (fma.f64 x.re x.re #s(literal 2 binary64)) x.im))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.re)) (*.f64 (fma.f64 x.im x.re #s(literal 2 binary64)) x.re))
Outputs
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 x.re x.re)))
Calls

3 calls:

2.0ms
x.im
2.0ms
x.re
2.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
29.5%1x.im
29.5%1x.re
29.5%1(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes4.0ms (0%)

Memory
9.3MiB live, 9.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
x.im
1.0ms
x.re
1.0ms
(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
Results
AccuracySegmentsBranch
3.1%1x.im
3.1%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))
3.1%1x.re
Compiler

Compiled 21 to 15 computations (28.6% saved)

bsearch1.0ms (0%)

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

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch26.0ms (0.3%)

Memory
-38.2MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
26.0ms
+inf
NaN
0.0ms
6.90337370046884e+28
9.432737713419522e+89
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-3.51e-321
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-3.51e-321
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
-3.51e-321
0.0
Compiler

Compiled 22 to 16 computations (27.3% saved)

simplify50.0ms (0.6%)

Memory
6.3MiB live, 47.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079538
1112538
2118538
3121538
4122538
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.re)) x.re)) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64))))
(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 99999999999999991433150857216 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) (*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)))))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 x.re x.re))) (*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)))))
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 x.re x.re)))
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 #s(approx (+ (* x.re x.re) 2) #s(literal 2 binary64)) x.im))
Outputs
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (fma.f64 (*.f64 x.re x.im) (*.f64 #s(literal 2 binary64) x.re) (*.f64 (*.f64 (+.f64 x.re x.im) x.im) (-.f64 x.re x.im))) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) (fma.f64 (*.f64 x.im x.re) (*.f64 #s(literal 2 binary64) x.re) (*.f64 (-.f64 x.re x.im) (*.f64 (+.f64 x.im x.re) x.im))) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)) x.im))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (+.f64 x.im x.re) (*.f64 (-.f64 x.re x.im) x.im)) (*.f64 (*.f64 x.im (+.f64 x.re x.re)) x.re)) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) (+.f64 (*.f64 (*.f64 (+.f64 x.re x.re) x.im) x.re) (*.f64 (*.f64 (-.f64 x.re x.im) x.im) (+.f64 x.im x.re))) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)) x.im))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal 99999999999999991433150857216 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal 99999999999999991433150857216 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (fma.f64 (neg.f64 x.im) x.im (*.f64 (*.f64 #s(literal 3 binary64) x.re) x.re)) x.im)) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)) x.im)))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) (*.f64 x.im (fma.f64 (-.f64 x.re x.im) (+.f64 x.re x.im) #s(literal 2 binary64)))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)) x.im) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (*.f64 (fma.f64 (-.f64 x.re x.im) (+.f64 x.im x.re) #s(literal 2 binary64)) x.im)))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 x.re (*.f64 x.re (*.f64 #s(literal 3 binary64) x.im)))) (*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)) x.im) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) #s(approx (+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) x.im) x.re) x.re)) (*.f64 #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)) x.im)))
(if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im))) (if (<=.f64 (+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re)) #s(literal +inf.0 binary64)) (*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 x.re x.re))) (*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)))))
(if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal -405/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)) x.im) (if (<=.f64 (+.f64 (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.im x.re)) x.re) (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im)) #s(literal +inf.0 binary64)) (*.f64 #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 x.re x.re)) x.im) (*.f64 #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 (neg.f64 x.im) x.im)) x.im)))
(*.f64 x.im #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 x.re x.re)))
(*.f64 #s(approx (+ (* (- x.re x.im) (+ x.re x.im)) 2) (*.f64 x.re x.re)) x.im)
#s(approx (+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* 2 x.im)) (*.f64 #s(approx (+ (* x.re x.re) 2) #s(literal 2 binary64)) x.im))

soundness1.7s (19.8%)

Memory
9.9MiB live, 809.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057180
1182170
2586170
32560170
46935170
08454170
044214
071206
1256177
21606177
08484172
0201778
1695617
22375546
08747529
044275
072210
1280181
21741181
08890166
01154
02054
17942
053641
03241370
111191043
23960947
08310905
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
iter limit
unsound
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 2 036 to 651 computations (68% saved)

preprocess131.0ms (1.6%)

Memory
1.7MiB live, 233.2MiB allocated
Remove

(abs x.re)

Compiler

Compiled 1 724 to 464 computations (73.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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