_multiplyComplex, real part

Time bar (total: 1.5s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze63.0ms (4.3%)

Memory
-10.9MiB live, 32.6MiB allocated; 13ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 9 to 9 computations (0% saved)

sample809.0ms (54.8%)

Memory
56.0MiB live, 954.8MiB allocated; 253ms collecting garbage
Samples
520.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 216.0ms
ival-mult: 175.0ms (81% of total)
ival-sub: 35.0ms (16.2% of total)
ival-assert: 3.0ms (1.4% of total)
adjust: 2.0ms (0.9% of total)
Bogosity

explain74.0ms (5%)

Memory
-11.0MiB live, 137.0MiB allocated; 23ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
00-0-x.re
00-0-y.re
00-0-(*.f64 x.re y.re)
00-0-(*.f64 x.im y.im)
00-0-y.im
00-0-x.im
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))nan-rescue10
(*.f64 x.re y.re)overflow26
(*.f64 x.im y.im)overflow34
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
28.0ms512×0valid
Compiler

Compiled 45 to 25 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (69.6% of total)
ival-sub: 2.0ms (19.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess21.0ms (1.4%)

Memory
-9.3MiB live, 35.8MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037109
166109
2123109
3190109
4214109
5217109
077
0107
1157
2247
3407
4587
5707
6747
7777
0777
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
Outputs
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
(neg.f64 (fma.f64 (neg.f64 y.re) x.re (*.f64 y.im x.im)))
Symmetry

(sort x.re y.re)

(sort x.im y.im)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
Compiler

Compiled 7 to 7 computations (0% saved)

series9.0ms (0.6%)

Memory
19.2MiB live, 19.2MiB allocated; 0ms collecting garbage
Counts
7 → 18
Calls
Call 1
Inputs
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
(*.f64 x.re y.re)
x.re
y.re
(*.f64 x.im y.im)
x.im
y.im
Outputs
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (- (* x.re y.re) (* x.im y.im))))
#s(approx (* x.re y.re) #s(hole binary64 (* x.re y.re)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.re y.re)))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (+ (* -1 (* x.im y.im)) (* x.re y.re))))
#s(approx (* x.im y.im) #s(hole binary64 (* x.im y.im)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.im (- (/ (* x.re y.re) x.im) y.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))))
#s(approx y.re #s(hole binary64 y.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))))
#s(approx y.im #s(hole binary64 y.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* y.im (- (/ (* x.re y.re) y.im) x.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))))
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y.re
@-inf
((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re (* x.im y.im) x.im y.im)
1.0ms
x.re
@-inf
((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re (* x.im y.im) x.im y.im)
1.0ms
x.re
@inf
((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re (* x.im y.im) x.im y.im)
1.0ms
y.im
@-inf
((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re (* x.im y.im) x.im y.im)
1.0ms
x.im
@-inf
((- (* x.re y.re) (* x.im y.im)) (* x.re y.re) x.re y.re (* x.im y.im) x.im y.im)

rewrite188.0ms (12.7%)

Memory
-6.2MiB live, 268.5MiB allocated; 56ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063259
065244
1291240
22296238
09079236
Stop Event
iter limit
node limit
iter limit
Counts
25 → 84
Calls
Call 1
Inputs
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
(*.f64 x.re y.re)
x.re
y.re
(*.f64 x.im y.im)
x.im
y.im
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (- (* x.re y.re) (* x.im y.im))))
#s(approx (* x.re y.re) #s(hole binary64 (* x.re y.re)))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.re y.re)))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (+ (* -1 (* x.im y.im)) (* x.re y.re))))
#s(approx (* x.im y.im) #s(hole binary64 (* x.im y.im)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* x.im (- (/ (* x.re y.re) x.im) y.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))))
#s(approx y.re #s(hole binary64 y.re))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))))
#s(approx y.im #s(hole binary64 y.im))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* y.im (- (/ (* x.re y.re) y.im) x.im))))
#s(approx (- (* x.re y.re) (* x.im y.im)) #s(hole binary64 (* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))))
Outputs
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64)) (fma.f64 y.im x.im (*.f64 y.re x.re))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 2 binary64)) (fma.f64 y.im x.im (*.f64 y.re x.re))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64)) (fma.f64 y.im x.im (*.f64 y.re x.re))) (/.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64)) (fma.f64 y.im x.im (*.f64 y.re x.re))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 2 binary64)) (fma.f64 y.im x.im (*.f64 y.re x.re))) (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 2 binary64)) (fma.f64 y.im x.im (*.f64 y.re x.re))) (*.f64 (/.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64)) (fma.f64 y.im x.im (*.f64 y.re x.re))) (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 2 binary64)) (fma.f64 y.im x.im (*.f64 y.re x.re)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 y.im x.im) (*.f64 y.re x.re)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 y.im x.im) (*.f64 y.re x.re)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 y.im x.im) (*.f64 y.re x.re)))) (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 y.im x.im) (*.f64 y.re x.re)))) (fma.f64 (/.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 y.im x.im) (*.f64 y.re x.re)))) (/.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 y.im x.im) (*.f64 y.re x.re)))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 y.im x.im) (*.f64 y.re x.re)))) (/.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64)) (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 y.im x.im) (*.f64 y.re x.re))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y.re x.re) y.re) x.re (*.f64 (*.f64 y.im x.im) (fma.f64 y.im x.im (*.f64 y.re x.re))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y.re x.re) y.re) x.re (*.f64 (*.f64 y.im x.im) (fma.f64 y.im x.im (*.f64 y.re x.re))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y.re x.re) y.re) x.re (*.f64 (*.f64 y.im x.im) (fma.f64 y.im x.im (*.f64 y.re x.re))))) (/.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y.re x.re) y.re) x.re (*.f64 (*.f64 y.im x.im) (fma.f64 y.im x.im (*.f64 y.re x.re))))) (fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y.re x.re) y.re) x.re (*.f64 (*.f64 y.im x.im) (fma.f64 y.im x.im (*.f64 y.re x.re))))) (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y.re x.re) y.re) x.re (*.f64 (*.f64 y.im x.im) (fma.f64 y.im x.im (*.f64 y.re x.re))))) (*.f64 (/.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y.re x.re) y.re) x.re (*.f64 (*.f64 y.im x.im) (fma.f64 y.im x.im (*.f64 y.re x.re))))) (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y.re x.re) y.re) x.re (*.f64 (*.f64 y.im x.im) (fma.f64 y.im x.im (*.f64 y.re x.re)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y.im x.im)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y.re x.re) y.re) x.re (fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 y.im x.im)) (*.f64 #s(literal 1 binary64) (*.f64 y.im x.im)) (*.f64 (*.f64 y.re x.re) (*.f64 #s(literal 1 binary64) (*.f64 y.im x.im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y.re x.re) y.re) x.re (fma.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal -1 binary64)) (*.f64 (*.f64 y.re x.re) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y.im x.im) y.im) x.im (*.f64 (*.f64 y.re x.re) (fma.f64 y.im x.im (*.f64 y.re x.re))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y.im x.im) y.im) x.im (*.f64 (*.f64 y.re x.re) (fma.f64 y.im x.im (*.f64 y.re x.re))))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y.im x.im) y.im) x.im (*.f64 (*.f64 y.re x.re) (fma.f64 y.im x.im (*.f64 y.re x.re))))) (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y.im x.im) y.im) x.im (*.f64 (*.f64 y.re x.re) (fma.f64 y.im x.im (*.f64 y.re x.re)))))) (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y.im x.im) y.im) x.im (*.f64 (*.f64 y.re x.re) (fma.f64 y.im x.im (*.f64 y.re x.re))))) (/.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y.im x.im) y.im) x.im (*.f64 (*.f64 y.re x.re) (fma.f64 y.im x.im (*.f64 y.re x.re)))))) (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y.im x.im) y.im) x.im (*.f64 (*.f64 y.re x.re) (fma.f64 y.im x.im (*.f64 y.re x.re))))) (/.f64 (pow.f64 (*.f64 y.re x.re) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 y.im x.im) y.im) x.im (*.f64 (*.f64 y.re x.re) (fma.f64 y.im x.im (*.f64 y.re x.re)))))))))
(/.f64 (fma.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 3/2 binary64))) (neg.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 3/2 binary64))) (pow.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x.re)) y.re) #s(literal 3 binary64))) (fma.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)))) (neg.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)))) (-.f64 (*.f64 (*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x.re)) y.re) (*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x.re)) y.re)) (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) (*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x.re)) y.re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 3 binary64)) (pow.f64 (*.f64 y.re x.re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y.im x.im) y.im) x.im (fma.f64 (*.f64 (*.f64 y.re x.re) y.re) x.re (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)) (fma.f64 #s(literal -1 binary64) (*.f64 y.im x.im) (*.f64 y.re x.re))))) (neg.f64 (neg.f64 (fma.f64 y.im x.im (*.f64 y.re x.re)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)) #s(literal 2 binary64)) (pow.f64 (*.f64 y.re x.re) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (*.f64 y.im x.im) (*.f64 y.re x.re))))))
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eval9.0ms (0.6%)

Memory
17.1MiB live, 17.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 805 to 254 computations (90.9% saved)

prune16.0ms (1.1%)

Memory
-16.7MiB live, 30.5MiB allocated; 2ms collecting garbage
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New82183
Fresh000
Picked101
Done000
Total83184
Accuracy
100.0%
Counts
84 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y.re x.re (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)))
Compiler

Compiled 8 to 8 computations (0% saved)

series7.0ms (0.4%)

Memory
13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Counts
8 → 17
Calls
Call 1
Inputs
(fma.f64 y.re x.re (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)))
y.re
x.re
(*.f64 #s(literal -1 binary64) (*.f64 y.im x.im))
#s(literal -1 binary64)
(*.f64 y.im x.im)
y.im
x.im
Outputs
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (+ (* -1 (* x.im y.im)) (* x.re y.re))))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (* x.re y.re)))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))))
#s(approx (* -1 (* y.im x.im)) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (* y.im x.im) #s(hole binary64 (* x.im y.im)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (* x.im (+ (* -1 y.im) (/ (* x.re y.re) x.im)))))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (* -1 (* x.im (+ y.im (* -1 (/ (* x.re y.re) x.im)))))))
#s(approx y.re #s(hole binary64 y.re))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))))
#s(approx y.im #s(hole binary64 y.im))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (* y.im (+ (* -1 x.im) (/ (* x.re y.re) y.im)))))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (* -1 (* y.im (+ x.im (* -1 (/ (* x.re y.re) y.im)))))))
Calls

12 calls:

TimeVariablePointExpression
1.0ms
y.im
@inf
((+ (* y.re x.re) (* -1 (* y.im x.im))) y.re x.re (* -1 (* y.im x.im)) -1 (* y.im x.im) y.im x.im)
1.0ms
x.im
@-inf
((+ (* y.re x.re) (* -1 (* y.im x.im))) y.re x.re (* -1 (* y.im x.im)) -1 (* y.im x.im) y.im x.im)
1.0ms
y.im
@-inf
((+ (* y.re x.re) (* -1 (* y.im x.im))) y.re x.re (* -1 (* y.im x.im)) -1 (* y.im x.im) y.im x.im)
1.0ms
x.im
@inf
((+ (* y.re x.re) (* -1 (* y.im x.im))) y.re x.re (* -1 (* y.im x.im)) -1 (* y.im x.im) y.im x.im)
1.0ms
x.im
@0
((+ (* y.re x.re) (* -1 (* y.im x.im))) y.re x.re (* -1 (* y.im x.im)) -1 (* y.im x.im) y.im x.im)

rewrite157.0ms (10.7%)

Memory
-17.4MiB live, 183.6MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065263
068233
1340229
22560225
08259225
Stop Event
iter limit
node limit
iter limit
Counts
25 → 88
Calls
Call 1
Inputs
(fma.f64 y.re x.re (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)))
y.re
x.re
(*.f64 #s(literal -1 binary64) (*.f64 y.im x.im))
#s(literal -1 binary64)
(*.f64 y.im x.im)
y.im
x.im
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (+ (* -1 (* x.im y.im)) (* x.re y.re))))
#s(approx x.re #s(hole binary64 x.re))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (* x.re y.re)))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))))
#s(approx (* -1 (* y.im x.im)) #s(hole binary64 (* -1 (* x.im y.im))))
#s(approx (* y.im x.im) #s(hole binary64 (* x.im y.im)))
#s(approx x.im #s(hole binary64 x.im))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (* x.im (+ (* -1 y.im) (/ (* x.re y.re) x.im)))))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (* -1 (* x.im (+ y.im (* -1 (/ (* x.re y.re) x.im)))))))
#s(approx y.re #s(hole binary64 y.re))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))))
#s(approx y.im #s(hole binary64 y.im))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (* y.im (+ (* -1 x.im) (/ (* x.re y.re) y.im)))))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) #s(hole binary64 (* -1 (* y.im (+ x.im (* -1 (/ (* x.re y.re) y.im)))))))
Outputs
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 x.re y.re)) (fma.f64 x.re y.re (*.f64 x.im y.im))))) (neg.f64 (neg.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 x.re y.re)) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 y.im #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 x.re y.re) x.re) y.re (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 y.im #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x.im y.im) (*.f64 (*.f64 x.re y.re) (fma.f64 x.re y.re (*.f64 x.im y.im)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x.im y.im) (fma.f64 (*.f64 (*.f64 x.re y.re) x.re) y.re (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re)) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re)) (fma.f64 (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (*.f64 x.im #s(literal -1 binary64))) y.im (*.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 2 binary64)) (fma.f64 x.re y.re (*.f64 x.im y.im))) (*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (pow.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 x.re y.re (*.f64 x.im y.im)) (fma.f64 x.re y.re (*.f64 x.im y.im))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re))) (*.f64 (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re)) (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re)) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x.re y.re) x.re) y.re (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re)))) (*.f64 (fma.f64 (*.f64 (*.f64 x.re y.re) x.re) y.re (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re)))) (pow.f64 (pow.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 x.re y.re) x.re) y.re (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re)))) (fma.f64 (*.f64 (*.f64 x.re y.re) x.re) y.re (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x.im y.im) (*.f64 (*.f64 x.re y.re) (fma.f64 x.re y.re (*.f64 x.im y.im)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x.im y.im) (*.f64 (*.f64 x.re y.re) (fma.f64 x.re y.re (*.f64 x.im y.im)))) (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x.im y.im) (*.f64 (*.f64 x.re y.re) (fma.f64 x.re y.re (*.f64 x.im y.im)))) (fma.f64 (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x.im y.im) (*.f64 (*.f64 x.re y.re) (fma.f64 x.re y.re (*.f64 x.im y.im))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x.im y.im) (fma.f64 (*.f64 (*.f64 x.re y.re) x.re) y.re (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 3 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64))) (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re)) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re)) (fma.f64 (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (*.f64 x.im #s(literal -1 binary64))) y.im (*.f64 (*.f64 x.re y.re) (*.f64 x.im y.im)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 x.re y.re)) (fma.f64 x.re y.re (*.f64 x.im y.im)))) (neg.f64 (fma.f64 x.re y.re (*.f64 x.im y.im))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 x.re y.re)) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re)))) (neg.f64 (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 y.im #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 x.re y.re) x.re) y.re (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 y.im #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x.im y.im) (*.f64 (*.f64 x.re y.re) (fma.f64 x.re y.re (*.f64 x.im y.im))))))
(/.f64 (*.f64 (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 x.re y.re)) (fma.f64 x.re y.re (*.f64 x.im y.im))) (fma.f64 x.re y.re (*.f64 x.im y.im)))
(/.f64 (*.f64 (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 x.re y.re)) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re))) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re)))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 y.im #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x.re y.re) x.re) y.re (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re)))))
(/.f64 (fma.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x.im) #s(literal 3 binary64)) (pow.f64 (*.f64 y.im #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x.im y.im) (*.f64 (*.f64 x.re y.re) (fma.f64 x.re y.re (*.f64 x.im y.im)))))
(fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x.re)) y.re))
(fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 x.re y.re))
(fma.f64 (*.f64 y.im #s(literal -1 binary64)) x.im (*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x.re)) y.re))
(fma.f64 (*.f64 y.im #s(literal -1 binary64)) x.im (*.f64 x.re y.re))
(fma.f64 (*.f64 x.im y.im) #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x.re)) y.re))
(fma.f64 (*.f64 x.im y.im) #s(literal -1 binary64) (*.f64 x.re y.re))
(fma.f64 x.im (*.f64 y.im #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x.re)) y.re))
(fma.f64 x.im (*.f64 y.im #s(literal -1 binary64)) (*.f64 x.re y.re))
(fma.f64 y.im (*.f64 x.im #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x.re)) y.re))
(fma.f64 y.im (*.f64 x.im #s(literal -1 binary64)) (*.f64 x.re y.re))
(fma.f64 #s(literal -1 binary64) (*.f64 x.im y.im) (*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x.re)) y.re))
(fma.f64 #s(literal -1 binary64) (*.f64 x.im y.im) (*.f64 x.re y.re))
(fma.f64 x.re y.re (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)))
(fma.f64 y.re x.re (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 3 binary64)) (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re)) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re)) (fma.f64 (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (*.f64 x.im #s(literal -1 binary64))) y.im (*.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))) (/.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re)) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re)) (fma.f64 (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (*.f64 x.im #s(literal -1 binary64))) y.im (*.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))))))
(-.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x.im y.im) (fma.f64 (*.f64 (*.f64 x.re y.re) x.re) y.re (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x.im y.im) (fma.f64 (*.f64 (*.f64 x.re y.re) x.re) y.re (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 2 binary64)) (fma.f64 x.re y.re (*.f64 x.im y.im))) (/.f64 (pow.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 x.re y.re (*.f64 x.im y.im))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 2 binary64)) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re))))
(-.f64 (*.f64 x.re y.re) (*.f64 (neg.f64 (*.f64 x.im #s(literal -1 binary64))) y.im))
(-.f64 (*.f64 x.re y.re) (*.f64 (neg.f64 (*.f64 y.im #s(literal -1 binary64))) x.im))
(-.f64 (*.f64 x.re y.re) (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
(-.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re))
(+.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (*.f64 (*.f64 x.re y.re) x.re) y.re (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x.re y.re) x.re) y.re (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 x.re y.re) x.re) y.re (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re))))) (/.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (*.f64 (*.f64 x.re y.re) x.re) y.re (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x.im y.im) (*.f64 (*.f64 x.re y.re) (fma.f64 x.re y.re (*.f64 x.im y.im))))) (/.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x.im y.im) (*.f64 (*.f64 x.re y.re) (fma.f64 x.re y.re (*.f64 x.im y.im))))))
(+.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x.im y.im) (*.f64 (*.f64 x.re y.re) (fma.f64 x.re y.re (*.f64 x.im y.im))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 x.im y.im) (*.f64 (*.f64 x.re y.re) (fma.f64 x.re y.re (*.f64 x.im y.im))))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) #s(literal 2 binary64)) (fma.f64 x.re y.re (*.f64 x.im y.im))) (/.f64 (*.f64 (*.f64 x.im y.im) (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64))) (fma.f64 x.re y.re (*.f64 x.im y.im))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re) (*.f64 x.re y.re)) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 (*.f64 #s(literal -1 binary64) x.re) y.re))))
(+.f64 (*.f64 x.re y.re) (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -1 binary64) x.re)) y.re))
(+.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)) (*.f64 x.re y.re))
y.re
x.re
(*.f64 (*.f64 x.im #s(literal -1 binary64)) y.im)
(*.f64 (*.f64 y.im #s(literal -1 binary64)) x.im)
(*.f64 (*.f64 x.im y.im) #s(literal -1 binary64))
(*.f64 x.im (*.f64 y.im #s(literal -1 binary64)))
(*.f64 y.im (*.f64 x.im #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 x.im y.im))
(neg.f64 (*.f64 x.im y.im))
#s(literal -1 binary64)
(*.f64 (*.f64 #s(literal 1 binary64) x.im) y.im)
(*.f64 (*.f64 #s(literal 1 binary64) y.im) x.im)
(*.f64 #s(literal 1 binary64) (*.f64 x.im y.im))
(*.f64 (*.f64 x.im y.im) #s(literal 1 binary64))
(*.f64 x.im y.im)
(*.f64 y.im x.im)
(neg.f64 (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)))
y.im
x.im
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) (fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im (*.f64 x.re y.re)))
#s(approx x.re x.re)
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) (*.f64 x.re y.re))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) (*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) #s(literal -1 binary64)) y.re) x.re))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) (*.f64 (*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) x.re) #s(literal -1 binary64)) y.re) x.re) #s(literal -1 binary64)))
#s(approx (* -1 (* y.im x.im)) (*.f64 (*.f64 x.im y.im) #s(literal -1 binary64)))
#s(approx (* y.im x.im) (*.f64 x.im y.im))
#s(approx x.im x.im)
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) (*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) #s(literal -1 binary64)) y.im) x.im))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) (*.f64 (*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x.re y.re) x.im) #s(literal -1 binary64)) y.im) x.im) #s(literal -1 binary64)))
#s(approx y.re y.re)
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) (*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) #s(literal -1 binary64)) x.re) y.re))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) (*.f64 (*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x.im y.im) y.re) #s(literal -1 binary64)) x.re) y.re) #s(literal -1 binary64)))
#s(approx y.im y.im)
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) (*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x.re y.re) y.im) #s(literal -1 binary64)) x.im) y.im))
#s(approx (+ (* y.re x.re) (* -1 (* y.im x.im))) (*.f64 (*.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 x.re y.re) y.im) #s(literal -1 binary64)) x.im) y.im) #s(literal -1 binary64)))

eval9.0ms (0.6%)

Memory
17.8MiB live, 17.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 153 to 234 computations (89.1% saved)

prune20.0ms (1.3%)

Memory
-16.1MiB live, 30.8MiB allocated; 2ms collecting garbage
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New88088
Fresh000
Picked011
Done000
Total88189
Accuracy
100.0%
Counts
89 → 1
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 y.re x.re (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)))
Compiler

Compiled 23 to 19 computations (17.4% saved)

regimes9.0ms (0.6%)

Memory
18.8MiB live, 18.8MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
(fma.f64 y.re x.re (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)))
Outputs
(fma.f64 y.re x.re (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)))
Calls

7 calls:

1.0ms
y.im
1.0ms
y.re
1.0ms
x.im
1.0ms
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
1.0ms
x.re
Results
AccuracySegmentsBranch
100.0%1(*.f64 x.im y.im)
100.0%1(*.f64 x.re y.re)
100.0%1(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
100.0%1x.re
100.0%1x.im
100.0%1y.re
100.0%1y.im
Compiler

Compiled 17 to 33 computations (-94.1% saved)

regimes10.0ms (0.7%)

Memory
-36.6MiB live, 17.3MiB allocated; 4ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
Outputs
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
Calls

7 calls:

4.0ms
(*.f64 x.im y.im)
1.0ms
y.im
1.0ms
x.im
1.0ms
x.re
1.0ms
y.re
Results
AccuracySegmentsBranch
99.6%1(*.f64 x.im y.im)
99.6%1(*.f64 x.re y.re)
99.6%1(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
99.6%1x.re
99.6%1x.im
99.6%1y.re
99.6%1y.im
Compiler

Compiled 17 to 33 computations (-94.1% saved)

simplify9.0ms (0.6%)

Memory
15.0MiB live, 15.0MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01114
11714
23014
33614
43714
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y.re x.re (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)))
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
Outputs
(fma.f64 y.re x.re (*.f64 #s(literal -1 binary64) (*.f64 y.im x.im)))
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))

derivations33.0ms (2.3%)

Memory
-12.9MiB live, 33.9MiB allocated; 3ms collecting garbage
Stop Event
done
Compiler

Compiled 15 to 11 computations (26.7% saved)

preprocess32.0ms (2.2%)

Memory
0.8MiB live, 47.1MiB allocated; 3ms collecting garbage
Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 108 to 100 computations (7.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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