_multiplyComplex, real part

Time bar (total: 5.7s)

analyze0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
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)

sample654.0ms (11.5%)

Memory
12.0MiB live, 1 482.1MiB allocated
Samples
431.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 173.0ms
ival-mult: 122.0ms (70.3% of total)
ival-sub: 43.0ms (24.8% of total)
ival-true: 5.0ms (2.9% of total)
ival-assert: 3.0ms (1.7% of total)
Bogosity

preprocess37.0ms (0.7%)

Memory
2.8MiB live, 87.2MiB allocated
Algorithm
egg-herbie
Rules
208×accelerator-lowering-fma.f32
208×accelerator-lowering-fma.f64
144×*-lowering-*.f32
144×*-lowering-*.f64
124×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037109
1104109
2184109
3384109
4616109
5700109
6712109
077
1147
2267
3387
4597
5897
61477
72157
82757
93047
103207
03207
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(- (* x.re y.re) (* x.im y.im))
Outputs
(- (* x.re y.re) (* x.im y.im))
(-.f64 (fma.f64 x.re y.re #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)))
Call 2
Inputs
(- (* x.re y.re) (* x.im y.im))
(- (* (neg x.re) y.re) (* x.im y.im))
(- (* x.re y.re) (* (neg x.im) y.im))
(- (* x.re (neg y.re)) (* x.im y.im))
(- (* x.re y.re) (* x.im (neg y.im)))
(neg (- (* (neg x.re) y.re) (* x.im y.im)))
(neg (- (* x.re y.re) (* (neg x.im) y.im)))
(neg (- (* x.re (neg y.re)) (* x.im y.im)))
(neg (- (* x.re y.re) (* x.im (neg y.im))))
(- (* x.im y.re) (* x.re y.im))
(- (* y.re x.re) (* x.im y.im))
(- (* y.im y.re) (* x.im x.re))
(- (* x.re x.im) (* y.re y.im))
(- (* x.re y.re) (* y.im x.im))
(- (* x.re y.im) (* x.im y.re))
Outputs
(- (* x.re y.re) (* x.im y.im))
(- (* (neg x.re) y.re) (* x.im y.im))
(- (* y.im (neg x.im)) (* x.re y.re))
(- (* x.re y.re) (* (neg x.im) y.im))
(+ (* x.re y.re) (* x.im y.im))
(- (* x.re (neg y.re)) (* x.im y.im))
(- (* y.im (neg x.im)) (* x.re y.re))
(- (* x.re y.re) (* x.im (neg y.im)))
(+ (* x.re y.re) (* x.im y.im))
(neg (- (* (neg x.re) y.re) (* x.im y.im)))
(+ (* x.re y.re) (* x.im y.im))
(neg (- (* x.re y.re) (* (neg x.im) y.im)))
(- (* y.im (neg x.im)) (* x.re y.re))
(neg (- (* x.re (neg y.re)) (* x.im y.im)))
(+ (* x.re y.re) (* x.im y.im))
(neg (- (* x.re y.re) (* x.im (neg y.im))))
(- (* y.im (neg x.im)) (* x.re y.re))
(- (* x.im y.re) (* x.re y.im))
(- (* y.re x.im) (* x.re y.im))
(- (* y.re x.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* y.im y.re) (* x.im x.re))
(- (* y.re y.im) (* x.re x.im))
(- (* x.re x.im) (* y.re y.im))
(- (* x.re y.re) (* y.im x.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.im) (* x.im y.re))
(- (* x.re y.im) (* y.re x.im))
Symmetry

(sort x.re y.re)

(sort x.im y.im)

explain82.0ms (1.5%)

Memory
5.5MiB live, 125.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(-.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-rescue20
(*.f64 x.re y.re)overflow29
(*.f64 x.im y.im)overflow31
Confusion
Predicted +Predicted -
+20
-0254
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+200
-00254
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0254
12
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
46.0ms512×0valid
Compiler

Compiled 60 to 32 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 7.0ms (69.2% of total)
ival-sub: 2.0ms (19.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify14.0ms (0.2%)

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

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 x.im y.im)
cost-diff-64
(*.f64 x.re y.re)
cost-diff0
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
Rules
208×accelerator-lowering-fma.f32
208×accelerator-lowering-fma.f64
144×*-lowering-*.f32
144×*-lowering-*.f64
64×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
11417
22617
33817
45917
58917
614717
721517
827517
930417
1032017
032017
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- (* x.re y.re) (* x.im y.im))
(* x.re y.re)
x.re
y.re
(* x.im y.im)
x.im
y.im
Outputs
(- (* x.re y.re) (* x.im y.im))
(-.f64 (fma.f64 x.re y.re #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
x.re
y.re
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
x.im
y.im

localize24.0ms (0.4%)

Memory
-5.3MiB live, 32.4MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x.re y.re)
accuracy100.0%
(*.f64 x.im y.im)
accuracy99.3%
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
Samples
12.0ms256×0valid
Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (62.6% of total)
ival-sub: 1.0ms (20.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
-23.4MiB live, 14.1MiB allocated
Counts
3 → 96
Calls
Call 1
Inputs
#<alt (- (* x.re y.re) (* x.im y.im))>
#<alt (* x.re y.re)>
#<alt (* x.im y.im)>
Outputs
#<alt (* -1 (* x.im y.im))>
#<alt (- (* x.re y.re) (* x.im y.im))>
#<alt (- (* x.re y.re) (* x.im y.im))>
#<alt (- (* x.re y.re) (* x.im y.im))>
#<alt (* x.re y.re)>
#<alt (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))>
#<alt (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))>
#<alt (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))>
#<alt (* x.re y.re)>
#<alt (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))>
#<alt (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))>
#<alt (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))>
#<alt (* -1 (* x.im y.im))>
#<alt (- (* x.re y.re) (* x.im y.im))>
#<alt (- (* x.re y.re) (* x.im y.im))>
#<alt (- (* x.re y.re) (* x.im y.im))>
#<alt (* x.re y.re)>
#<alt (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))>
#<alt (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))>
#<alt (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))>
#<alt (* x.re y.re)>
#<alt (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))>
#<alt (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))>
#<alt (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))>
#<alt (* x.re y.re)>
#<alt (+ (* -1 (* x.im y.im)) (* x.re y.re))>
#<alt (+ (* -1 (* x.im y.im)) (* x.re y.re))>
#<alt (+ (* -1 (* x.im y.im)) (* x.re y.re))>
#<alt (* -1 (* x.im y.im))>
#<alt (* x.im (- (/ (* x.re y.re) x.im) y.im))>
#<alt (* x.im (- (/ (* x.re y.re) x.im) y.im))>
#<alt (* x.im (- (/ (* x.re y.re) x.im) y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))>
#<alt (* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))>
#<alt (* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))>
#<alt (* x.re y.re)>
#<alt (+ (* -1 (* x.im y.im)) (* x.re y.re))>
#<alt (+ (* -1 (* x.im y.im)) (* x.re y.re))>
#<alt (+ (* -1 (* x.im y.im)) (* x.re y.re))>
#<alt (* -1 (* x.im y.im))>
#<alt (* y.im (- (/ (* x.re y.re) y.im) x.im))>
#<alt (* y.im (- (/ (* x.re y.re) y.im) x.im))>
#<alt (* y.im (- (/ (* x.re y.re) y.im) x.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))>
#<alt (* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))>
#<alt (* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
Calls

24 calls:

TimeVariablePointExpression
1.0ms
y.re
@-inf
(* x.re y.re)
0.0ms
x.im
@0
(- (* x.re y.re) (* x.im y.im))
0.0ms
x.re
@0
(- (* x.re y.re) (* x.im y.im))
0.0ms
x.re
@-inf
(- (* x.re y.re) (* x.im y.im))
0.0ms
y.im
@inf
(- (* x.re y.re) (* x.im y.im))

rewrite743.0ms (13.1%)

Memory
21.5MiB live, 653.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
11 958×accelerator-lowering-fma.f32
11 958×accelerator-lowering-fma.f64
4 312×*-lowering-*.f32
4 312×*-lowering-*.f64
3 784×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
12713
220413
3195213
0841113
Stop Event
iter limit
node limit
Counts
3 → 232
Calls
Call 1
Inputs
(- (* x.re y.re) (* x.im y.im))
(* x.re y.re)
(* x.im y.im)
Outputs
(+.f64 (*.f64 x.re y.re) (-.f64 #s(literal 0 binary64) (*.f64 x.im y.im)))
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im y.im)) (*.f64 x.re y.re))
(+.f64 (/.f64 (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re))) (fma.f64 x.re (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.im (*.f64 y.im (fma.f64 x.im y.im (*.f64 x.re y.re)))))) (neg.f64 (/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im))) (fma.f64 x.re (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.im (*.f64 y.im (fma.f64 x.im y.im (*.f64 x.re y.re))))))))
(+.f64 (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (/.f64 x.re (fma.f64 x.im y.im (*.f64 x.re y.re)))) (neg.f64 (*.f64 (*.f64 x.im (*.f64 x.im y.im)) (/.f64 y.im (fma.f64 x.im y.im (*.f64 x.re y.re))))))
(+.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re))))
(+.f64 (fma.f64 x.re y.re #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x.im y.im)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.re y.re (-.f64 #s(literal 0 binary64) (*.f64 x.im y.im))))) #s(literal -1 binary64)))
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
(-.f64 (/.f64 (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re))) (fma.f64 x.re (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.im (*.f64 y.im (fma.f64 x.im y.im (*.f64 x.re y.re)))))) (/.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im))) (fma.f64 x.re (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.im (*.f64 y.im (fma.f64 x.im y.im (*.f64 x.re y.re)))))))
(-.f64 (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (/.f64 x.re (fma.f64 x.im y.im (*.f64 x.re y.re)))) (*.f64 (*.f64 x.im (*.f64 x.im y.im)) (/.f64 y.im (fma.f64 x.im y.im (*.f64 x.re y.re)))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)))
(-.f64 (fma.f64 x.re y.re #s(literal 0 binary64)) (*.f64 x.im y.im))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x.re (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.im (*.f64 y.im (fma.f64 x.im y.im (*.f64 x.re y.re))))))) (/.f64 (fma.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im)))) (-.f64 #s(literal 0 binary64) (fma.f64 x.re (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.im (*.f64 y.im (fma.f64 x.im y.im (*.f64 x.re y.re))))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re))) (*.f64 (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re))) (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re))))) (fma.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im))) (fma.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im)))) (*.f64 (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re))) (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)))))) (fma.f64 x.re (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.im (*.f64 y.im (fma.f64 x.im y.im (*.f64 x.re y.re)))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im))))) (fma.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im))) (fma.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im)))) (*.f64 (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re))) (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)))))) (fma.f64 x.re (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.im (*.f64 y.im (fma.f64 x.im y.im (*.f64 x.re y.re)))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re))) (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)))) (fma.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im))))) (fma.f64 x.re (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.im (*.f64 y.im (fma.f64 x.im y.im (*.f64 x.re y.re)))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im)))) (fma.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im))))) (fma.f64 x.re (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.im (*.f64 y.im (fma.f64 x.im y.im (*.f64 x.re y.re)))))))
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(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im)))) (fma.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im))))) (fma.f64 x.re (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.im (*.f64 y.im (fma.f64 x.im y.im (*.f64 x.re y.re)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im))))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im)))) (fma.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im))))) (fma.f64 x.im y.im (*.f64 x.re y.re))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re (*.f64 y.re y.re)))) (*.f64 (*.f64 x.im (*.f64 y.im (*.f64 x.im y.im))) (fma.f64 x.re (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.im (*.f64 y.im (*.f64 x.im y.im))))))))
(*.f64 (/.f64 (*.f64 (fma.f64 x.re (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.im (*.f64 y.im (*.f64 x.im y.im)))) (*.f64 (fma.f64 x.re y.re (-.f64 #s(literal 0 binary64) (*.f64 x.im y.im))) (fma.f64 x.im y.im (*.f64 x.re y.re)))) (fma.f64 x.im y.im (*.f64 x.re y.re))) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.im (*.f64 y.im (*.f64 x.im y.im))))))
(*.f64 (/.f64 (*.f64 (fma.f64 x.re y.re (-.f64 #s(literal 0 binary64) (*.f64 x.im y.im))) (fma.f64 x.im y.im (*.f64 x.re y.re))) (fma.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im))))) (fma.f64 (*.f64 x.im y.im) (-.f64 (*.f64 x.im y.im) (*.f64 x.re y.re)) (*.f64 x.re (*.f64 x.re (*.f64 y.re y.re)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x.re y.re (-.f64 #s(literal 0 binary64) (*.f64 x.im y.im))) (fma.f64 x.im y.im (*.f64 x.re y.re))) (*.f64 (fma.f64 x.re y.re (-.f64 #s(literal 0 binary64) (*.f64 x.im y.im))) (fma.f64 x.im y.im (*.f64 x.re y.re)))) (fma.f64 x.re y.re (-.f64 #s(literal 0 binary64) (*.f64 x.im y.im))))
(*.f64 (/.f64 (fma.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im)))) (fma.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im))) (*.f64 (fma.f64 x.im y.im (*.f64 x.re y.re)) (*.f64 (fma.f64 x.im y.im (*.f64 x.re y.re)) (fma.f64 x.im y.im (*.f64 x.re y.re)))) (*.f64 (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re))) (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)))))) (fma.f64 (*.f64 x.im (*.f64 y.im (fma.f64 x.im y.im (*.f64 x.re y.re)))) (-.f64 (*.f64 x.im (*.f64 y.im (fma.f64 x.im y.im (*.f64 x.re y.re)))) (*.f64 x.re (*.f64 x.re (*.f64 y.re y.re)))) (*.f64 x.re (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re (*.f64 y.re y.re)))))))
(*.f64 (/.f64 (fma.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im)))) (*.f64 (fma.f64 x.re (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.im (*.f64 y.im (fma.f64 x.im y.im (*.f64 x.re y.re))))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 y.re y.re))) (*.f64 x.im (*.f64 y.im (fma.f64 x.im y.im (*.f64 x.re y.re))))))) (-.f64 (*.f64 x.re (*.f64 x.re (*.f64 y.re y.re))) (*.f64 x.im (*.f64 y.im (fma.f64 x.im y.im (*.f64 x.re y.re))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x.im y.im (*.f64 x.re y.re)) (*.f64 (fma.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im)))) (fma.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re (*.f64 y.re y.re)))) (*.f64 (*.f64 x.im (*.f64 y.im (*.f64 x.im y.im))) (fma.f64 x.re (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.im (*.f64 y.im (*.f64 x.im y.im))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x.im y.im (*.f64 x.re y.re)) (*.f64 (fma.f64 x.re (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.im (*.f64 y.im (*.f64 x.im y.im)))) (*.f64 (fma.f64 x.re y.re (-.f64 #s(literal 0 binary64) (*.f64 x.im y.im))) (fma.f64 x.im y.im (*.f64 x.re y.re))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.re (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.im (*.f64 y.im (*.f64 x.im y.im))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x.re (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.im (*.f64 y.im (fma.f64 x.im y.im (*.f64 x.re y.re))))) (fma.f64 (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re))) (*.f64 (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re))) (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im))) (fma.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im)))) (*.f64 (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re))) (*.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x.re (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.im (*.f64 y.im (fma.f64 x.im y.im (*.f64 x.re y.re))))) (*.f64 (fma.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im)))) (fma.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x.re (*.f64 y.re y.re)) (*.f64 x.re (*.f64 x.re y.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im (*.f64 y.im y.im))))))
(exp.f64 (log.f64 (*.f64 x.re y.re)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re y.re)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x.re y.re) #s(literal 1 binary64))
(*.f64 x.re y.re)
(*.f64 y.re x.re)
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 y.re #s(literal 1 binary64)))
(*.f64 (pow.f64 y.re #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 y.re)) (exp.f64 (log.f64 x.re)))
(*.f64 (exp.f64 (log.f64 x.re)) (exp.f64 (log.f64 y.re)))
(exp.f64 (log.f64 (*.f64 x.im y.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im y.im)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x.im y.im) #s(literal 1 binary64))
(*.f64 x.im y.im)
(*.f64 y.im x.im)
(*.f64 (pow.f64 x.im #s(literal 1 binary64)) (pow.f64 y.im #s(literal 1 binary64)))
(*.f64 (pow.f64 y.im #s(literal 1 binary64)) (pow.f64 x.im #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 y.im)) (exp.f64 (log.f64 x.im)))
(*.f64 (exp.f64 (log.f64 x.im)) (exp.f64 (log.f64 y.im)))

simplify523.0ms (9.2%)

Memory
4.8MiB live, 201.5MiB allocated
Algorithm
egg-herbie
Rules
5 952×accelerator-lowering-fma.f32
5 952×accelerator-lowering-fma.f64
3 066×*-lowering-*.f32
3 066×*-lowering-*.f64
1 152×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042438
1141438
2387438
31312438
43785438
56105438
67988438
08008438
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* -1 (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(* x.re y.re)
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re y.re)
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(* x.re y.re)
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* x.re y.re)
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* x.re y.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* -1 (* x.im y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* x.re y.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* -1 (* x.im y.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* -1 (* x.im y.im))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
Outputs
(* -1 (* x.im y.im))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
(- (* x.re y.re) (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(- (* x.re y.re) (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(- (* x.re y.re) (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* -1 (* x.im y.im))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
(- (* x.re y.re) (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(- (* x.re y.re) (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(- (* x.re y.re) (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* -1 (* x.im y.im))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* -1 (* x.im y.im))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* -1 (* x.im y.im))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* -1 (* x.im y.im))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))

eval93.0ms (1.6%)

Memory
-17.8MiB live, 54.6MiB allocated
Compiler

Compiled 17 290 to 661 computations (96.2% saved)

prune109.0ms (1.9%)

Memory
-21.0MiB live, 55.8MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3253328
Fresh000
Picked011
Done000
Total3254329
Accuracy
100.0%
Counts
329 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 y.re x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im y.im)))
47.6%
(fma.f64 x.re y.re #s(literal 0 binary64))
99.2%
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
57.4%
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
Compiler

Compiled 41 to 28 computations (31.7% saved)

simplify15.0ms (0.3%)

Memory
16.1MiB live, 16.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 x.im y.im)
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 x.im y.im))
cost-diff0
(fma.f64 y.re x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im y.im)))
cost-diff0
(fma.f64 x.re y.re #s(literal 0 binary64))
cost-diff0
(fma.f64 x.im y.im #s(literal 0 binary64))
cost-diff0
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
Rules
208×accelerator-lowering-fma.f32
208×accelerator-lowering-fma.f64
144×*-lowering-*.f32
144×*-lowering-*.f64
64×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01335
13035
25335
39835
412135
519635
628235
733235
833835
033835
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- 0 (+ (* x.im y.im) 0))
0
(+ (* x.im y.im) 0)
x.im
y.im
(+ (* x.re y.re) 0)
x.re
y.re
0
(+ (* y.re x.re) (- 0 (* x.im y.im)))
y.re
x.re
(- 0 (* x.im y.im))
0
(* x.im y.im)
x.im
y.im
Outputs
(- 0 (+ (* x.im y.im) 0))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(+ (* x.im y.im) 0)
(fma.f64 x.im y.im #s(literal 0 binary64))
x.im
y.im
(+ (* x.re y.re) 0)
(fma.f64 x.re y.re #s(literal 0 binary64))
x.re
y.re
0
#s(literal 0 binary64)
(+ (* y.re x.re) (- 0 (* x.im y.im)))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
y.re
x.re
(- 0 (* x.im y.im))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
0
#s(literal 0 binary64)
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
x.im
y.im

localize45.0ms (0.8%)

Memory
20.2MiB live, 56.0MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 x.im y.im))
accuracy100.0%
(*.f64 x.im y.im)
accuracy99.2%
(fma.f64 y.re x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im y.im)))
accuracy100.0%
(fma.f64 x.re y.re #s(literal 0 binary64))
accuracy100.0%
(fma.f64 x.im y.im #s(literal 0 binary64))
accuracy100.0%
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
Samples
33.0ms256×0valid
Compiler

Compiled 43 to 15 computations (65.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 21.0ms
ival-mult: 16.0ms (75.2% of total)
ival-add: 3.0ms (14.1% of total)
ival-sub: 2.0ms (9.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series21.0ms (0.4%)

Memory
-40.8MiB live, 6.0MiB allocated
Counts
6 → 168
Calls
Call 1
Inputs
#<alt (- 0 (+ (* x.im y.im) 0))>
#<alt (+ (* x.im y.im) 0)>
#<alt (+ (* x.re y.re) 0)>
#<alt (+ (* y.re x.re) (- 0 (* x.im y.im)))>
#<alt (- 0 (* x.im y.im))>
#<alt (* x.im y.im)>
Outputs
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* -1 (* x.im y.im))>
#<alt (- (* x.re y.re) (* x.im y.im))>
#<alt (- (* x.re y.re) (* x.im y.im))>
#<alt (- (* x.re y.re) (* x.im y.im))>
#<alt (* x.re y.re)>
#<alt (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))>
#<alt (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))>
#<alt (* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))>
#<alt (* x.re y.re)>
#<alt (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))>
#<alt (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))>
#<alt (* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))>
#<alt (* -1 (* x.im y.im))>
#<alt (- (* x.re y.re) (* x.im y.im))>
#<alt (- (* x.re y.re) (* x.im y.im))>
#<alt (- (* x.re y.re) (* x.im y.im))>
#<alt (* x.re y.re)>
#<alt (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))>
#<alt (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))>
#<alt (* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))>
#<alt (* x.re y.re)>
#<alt (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))>
#<alt (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))>
#<alt (* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))>
#<alt (* x.re y.re)>
#<alt (+ (* -1 (* x.im y.im)) (* x.re y.re))>
#<alt (+ (* -1 (* x.im y.im)) (* x.re y.re))>
#<alt (+ (* -1 (* x.im y.im)) (* x.re y.re))>
#<alt (* -1 (* x.im y.im))>
#<alt (* x.im (- (/ (* x.re y.re) x.im) y.im))>
#<alt (* x.im (- (/ (* x.re y.re) x.im) y.im))>
#<alt (* x.im (- (/ (* x.re y.re) x.im) y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))>
#<alt (* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))>
#<alt (* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))>
#<alt (* x.re y.re)>
#<alt (+ (* -1 (* x.im y.im)) (* x.re y.re))>
#<alt (+ (* -1 (* x.im y.im)) (* x.re y.re))>
#<alt (+ (* -1 (* x.im y.im)) (* x.re y.re))>
#<alt (* -1 (* x.im y.im))>
#<alt (* y.im (- (/ (* x.re y.re) y.im) x.im))>
#<alt (* y.im (- (/ (* x.re y.re) y.im) x.im))>
#<alt (* y.im (- (/ (* x.re y.re) y.im) x.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))>
#<alt (* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))>
#<alt (* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
Calls

42 calls:

TimeVariablePointExpression
19.0ms
x.im
@0
(* x.im y.im)
0.0ms
x.im
@-inf
(- 0 (+ (* x.im y.im) 0))
0.0ms
x.im
@0
(- 0 (+ (* x.im y.im) 0))
0.0ms
y.re
@inf
(+ (* y.re x.re) (- 0 (* x.im y.im)))
0.0ms
y.re
@-inf
(+ (* y.re x.re) (- 0 (* x.im y.im)))

rewrite523.0ms (9.2%)

Memory
55.7MiB live, 1 077.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
10 432×accelerator-lowering-fma.f32
10 432×accelerator-lowering-fma.f64
4 046×*-lowering-*.f32
4 046×*-lowering-*.f64
2 190×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01326
18726
285122
0961821
Stop Event
iter limit
node limit
Counts
6 → 2 652
Calls
Call 1
Inputs
(- 0 (+ (* x.im y.im) 0))
(+ (* x.im y.im) 0)
(+ (* x.re y.re) 0)
(+ (* y.re x.re) (- 0 (* x.im y.im)))
(- 0 (* x.im y.im))
(* x.im y.im)
Outputs
(+.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal -1 binary64)))
(+.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64))
(+.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(+.f64 (*.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 x.im y.im #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
(-.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x.im y.im #s(literal 0 binary64)))
(fma.f64 x.im y.im #s(literal 0 binary64))
(fma.f64 x.im y.im (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 x.im (neg.f64 (-.f64 #s(literal 0 binary64) y.im)) #s(literal 0 binary64))
(fma.f64 x.im (neg.f64 (-.f64 #s(literal 0 binary64) y.im)) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 x.im (*.f64 (fma.f64 x.im (*.f64 y.im y.im) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 x.im (*.f64 (fma.f64 x.im (*.f64 y.im y.im) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 y.im x.im #s(literal 0 binary64))
(fma.f64 y.im x.im (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 y.im (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
(fma.f64 y.im (-.f64 #s(literal 0 binary64) x.im) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 y.im (neg.f64 (-.f64 #s(literal 0 binary64) x.im)) #s(literal 0 binary64))
(fma.f64 y.im (neg.f64 (-.f64 #s(literal 0 binary64) x.im)) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 y.im (*.f64 (fma.f64 x.im (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 y.im (*.f64 (fma.f64 x.im (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (/.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (/.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (*.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (*.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (fma.f64 x.im (*.f64 y.im (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x.im (*.f64 y.im (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) x.im) y.im #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x.im) y.im (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x.im) (-.f64 #s(literal 0 binary64) y.im) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 y.im (*.f64 y.im y.im)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 y.im (*.f64 y.im y.im)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (*.f64 y.im (*.f64 y.im y.im)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 y.im (*.f64 y.im y.im)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64))) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64))) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 #s(literal -1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (pow.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) y.im) x.im #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y.im) x.im (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (-.f64 #s(literal 0 binary64) y.im) (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y.im) (-.f64 #s(literal 0 binary64) x.im) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (fma.f64 x.im (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 x.im (*.f64 y.im y.im) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x.im (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (fma.f64 x.im (*.f64 y.im y.im) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(fma.f64 (fma.f64 x.im (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y.im (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))) #s(literal 0 binary64))
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(*.f64 (/.f64 y.im (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 (fma.f64 x.im (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64))))
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(*.f64 (/.f64 (fma.f64 x.im (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) x.im) (/.f64 y.im y.im))
(*.f64 (/.f64 (fma.f64 x.im (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) x.im) (/.f64 y.im (-.f64 #s(literal 0 binary64) y.im)))
(*.f64 (/.f64 (fma.f64 x.im (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) y.im) (/.f64 y.im x.im))
(*.f64 (/.f64 (fma.f64 x.im (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) y.im) (/.f64 y.im (-.f64 #s(literal 0 binary64) x.im)))
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(*.f64 (/.f64 (fma.f64 x.im (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x.im)) (/.f64 y.im y.im))
(*.f64 (/.f64 (fma.f64 x.im (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 y.im (fma.f64 x.im y.im #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 x.im (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y.im)) (/.f64 y.im x.im))
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(*.f64 (/.f64 (fma.f64 x.im (*.f64 y.im y.im) #s(literal 0 binary64)) x.im) (/.f64 x.im y.im))
(*.f64 (/.f64 (fma.f64 x.im (*.f64 y.im y.im) #s(literal 0 binary64)) x.im) (/.f64 x.im (-.f64 #s(literal 0 binary64) y.im)))
(*.f64 (/.f64 (fma.f64 x.im (*.f64 y.im y.im) #s(literal 0 binary64)) y.im) (/.f64 x.im x.im))
(*.f64 (/.f64 (fma.f64 x.im (*.f64 y.im y.im) #s(literal 0 binary64)) y.im) (/.f64 x.im (-.f64 #s(literal 0 binary64) x.im)))
(*.f64 (/.f64 (fma.f64 x.im (*.f64 y.im y.im) #s(literal 0 binary64)) (fma.f64 x.im (*.f64 y.im (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (/.f64 x.im (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))))
(*.f64 (/.f64 (fma.f64 x.im (*.f64 y.im y.im) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) x.im)) (/.f64 x.im y.im))
(*.f64 (/.f64 (fma.f64 x.im (*.f64 y.im y.im) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 x.im (fma.f64 x.im y.im #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 x.im (*.f64 y.im y.im) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) y.im)) (/.f64 x.im x.im))
(*.f64 (/.f64 (fma.f64 x.im (*.f64 y.im y.im) #s(literal 0 binary64)) (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))) (/.f64 x.im (fma.f64 x.im y.im #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 x.im y.im #s(literal 0 binary64))) (/.f64 (*.f64 y.im (*.f64 y.im y.im)) (fma.f64 x.im y.im #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 y.im (*.f64 y.im y.im)) (fma.f64 x.im y.im #s(literal 0 binary64))) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 x.im y.im #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im x.im)) (/.f64 (*.f64 y.im (*.f64 y.im y.im)) (*.f64 y.im y.im)))
(*.f64 (/.f64 (*.f64 y.im (*.f64 y.im y.im)) (*.f64 y.im y.im)) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im x.im)))
(*.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im y.im)) (/.f64 (*.f64 y.im (*.f64 y.im y.im)) (*.f64 x.im x.im)))
(*.f64 (/.f64 (*.f64 y.im (*.f64 y.im y.im)) (*.f64 x.im x.im)) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im y.im)))
(*.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 x.im (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 y.im (*.f64 y.im y.im)) y.im))
(*.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 x.im (*.f64 y.im y.im) #s(literal 0 binary64))) (/.f64 (*.f64 y.im (*.f64 y.im y.im)) x.im))
(*.f64 (/.f64 (*.f64 y.im (*.f64 y.im y.im)) (fma.f64 x.im (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) y.im))
(*.f64 (/.f64 (*.f64 y.im (*.f64 y.im y.im)) (fma.f64 x.im (*.f64 y.im y.im) #s(literal 0 binary64))) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im))
(*.f64 (/.f64 (pow.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 x.im x.im)) (/.f64 (pow.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 y.im y.im)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 y.im y.im)) (/.f64 (pow.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 x.im x.im)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x.im (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) y.im))
(*.f64 (/.f64 (pow.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x.im (*.f64 y.im y.im) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) x.im))
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x.im)) y.im)
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y.im)) x.im)
(*.f64 (*.f64 y.im #s(literal -1 binary64)) x.im)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64))) x.im) (fma.f64 x.im (*.f64 y.im y.im) #s(literal 0 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64))) y.im) (fma.f64 x.im (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64))) (fma.f64 x.im y.im #s(literal 0 binary64))) (fma.f64 x.im y.im #s(literal 0 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64))) (*.f64 x.im x.im)) (*.f64 y.im y.im))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64))) (*.f64 y.im y.im)) (*.f64 x.im x.im))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64))) (fma.f64 x.im (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64))) y.im)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.im #s(literal 0 binary64))) (fma.f64 x.im (*.f64 y.im y.im) #s(literal 0 binary64))) x.im)
(*.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64))) x.im) y.im)
(*.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.im #s(literal 0 binary64)) (fma.f64 x.im y.im #s(literal 0 binary64)) #s(literal 0 binary64))) y.im) x.im)

simplify272.0ms (4.8%)

Memory
-37.1MiB live, 484.5MiB allocated
Algorithm
egg-herbie
Rules
5 952×accelerator-lowering-fma.f32
5 952×accelerator-lowering-fma.f64
3 064×*-lowering-*.f32
3 064×*-lowering-*.f64
1 336×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042702
1141702
2387702
31311702
43780702
56086702
67961702
08171702
Stop Event
iter limit
node limit
Counts
168 → 168
Calls
Call 1
Inputs
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* -1 (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(* x.re y.re)
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(* x.re y.re)
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(* -1 (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(- (* x.re y.re) (* x.im y.im))
(* x.re y.re)
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(* x.re y.re)
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(* x.re y.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* -1 (* x.im y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* -1 (* x.im (- (* -1 (/ (* x.re y.re) x.im)) (* -1 y.im))))
(* x.re y.re)
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(* -1 (* x.im y.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* y.im (- (/ (* x.re y.re) y.im) x.im))
(* -1 (* x.im y.im))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* y.im (- (* -1 (/ (* x.re y.re) y.im)) (* -1 x.im))))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
Outputs
(* -1 (* x.im y.im))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
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(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
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(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
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(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
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(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
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(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
(* -1 (* x.im y.im))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
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(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
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(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
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(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
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(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
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(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
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(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
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(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
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(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
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(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
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(* x.im y.im)
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(* x.im y.im)
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(* x.im y.im)
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(* x.im y.im)
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(* x.im y.im)
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(* x.im y.im)
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(* x.im y.im)
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(* x.im y.im)
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(* x.im y.im)
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(* x.im y.im)
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(* x.im y.im)
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(* x.im y.im)
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(* x.im y.im)
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(* x.im y.im)
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(* x.im y.im)
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(* x.im y.im)
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(* x.im y.im)
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(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
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(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* -1 (* x.im y.im))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
(- (* x.re y.re) (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(- (* x.re y.re) (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(- (* x.re y.re) (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* y.re (+ x.re (* -1 (/ (* x.im y.im) y.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* -1 (* y.re (+ (* -1 x.re) (/ (* x.im y.im) y.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* -1 (* x.im y.im))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
(- (* x.re y.re) (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(- (* x.re y.re) (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(- (* x.re y.re) (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* x.re y.re)
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(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* x.re (+ y.re (* -1 (/ (* x.im y.im) x.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* x.re y.re)
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(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* -1 (* x.re (+ (* -1 y.re) (/ (* x.im y.im) x.re))))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* x.re y.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(+ (* -1 (* x.im y.im)) (* x.re y.re))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* -1 (* x.im y.im))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
(* x.im (- (/ (* x.re y.re) x.im) y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
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(* x.re y.re)
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(* y.im (- (/ (* x.re y.re) y.im) x.im))
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(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) (fma.f64 x.re y.re #s(literal 0 binary64)))
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(* -1 (* x.im y.im))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
(* -1 (* x.im y.im))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
(* -1 (* x.im y.im))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))

eval370.0ms (6.5%)

Memory
56.1MiB live, 777.7MiB allocated
Compiler

Compiled 75 675 to 3 134 computations (95.9% saved)

prune767.0ms (13.5%)

Memory
21.8MiB live, 1 018.1MiB allocated
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2 81822 820
Fresh000
Picked213
Done011
Total2 82042 824
Accuracy
100.0%
Counts
2 824 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 y.re x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im y.im)))
99.2%
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
57.4%
(-.f64 #s(literal 0 binary64) (*.f64 y.im x.im))
47.6%
(*.f64 y.re x.re)
Compiler

Compiled 39 to 27 computations (30.8% saved)

simplify14.0ms (0.3%)

Memory
-32.2MiB live, 8.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(*.f64 y.im x.im)
cost-diff0
(-.f64 #s(literal 0 binary64) (*.f64 y.im x.im))
cost-diff0
(*.f64 y.re x.re)
Rules
28×*-lowering-*.f32
28×*-lowering-*.f64
24×+-lowering-+.f64
24×+-lowering-+.f32
24×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0815
11515
22615
33515
44615
56015
66715
77615
88315
98315
08315
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(* y.re x.re)
y.re
x.re
(- 0 (* y.im x.im))
0
(* y.im x.im)
y.im
x.im
Outputs
(* y.re x.re)
(*.f64 y.re x.re)
y.re
x.re
(- 0 (* y.im x.im))
(fma.f64 y.im (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
0
#s(literal 0 binary64)
(* y.im x.im)
(fma.f64 y.im x.im #s(literal 0 binary64))
y.im
x.im

localize24.0ms (0.4%)

Memory
2.7MiB live, 38.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 0 binary64) (*.f64 y.im x.im))
accuracy100.0%
(*.f64 y.im x.im)
accuracy100.0%
(*.f64 y.re x.re)
Samples
13.0ms256×0valid
Compiler

Compiled 18 to 10 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (62% of total)
ival-sub: 1.0ms (20.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Counts
3 → 72
Calls
Call 1
Inputs
#<alt (* y.re x.re)>
#<alt (- 0 (* y.im x.im))>
#<alt (* y.im x.im)>
Outputs
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* x.re y.re)>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* -1 (* x.im y.im))>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
#<alt (* x.im y.im)>
Calls

18 calls:

TimeVariablePointExpression
0.0ms
y.im
@inf
(- 0 (* y.im x.im))
0.0ms
y.im
@-inf
(- 0 (* y.im x.im))
0.0ms
x.im
@-inf
(- 0 (* y.im x.im))
0.0ms
x.im
@inf
(- 0 (* y.im x.im))
0.0ms
y.re
@0
(* y.re x.re)

rewrite104.0ms (1.8%)

Memory
11.2MiB live, 167.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
916×*-lowering-*.f32
916×*-lowering-*.f64
794×/-lowering-/.f32
794×/-lowering-/.f64
514×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
12810
219410
0218110
Stop Event
iter limit
iter limit
node limit
Counts
3 → 283
Calls
Call 1
Inputs
(* y.re x.re)
(- 0 (* y.im x.im))
(* y.im x.im)
Outputs
(*.f64 y.re x.re)
(*.f64 x.re y.re)
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))))
(+.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64)))
(-.f64 (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 y.im (-.f64 #s(literal 0 binary64) x.im) #s(literal 0 binary64))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) y.im) x.im #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64)))) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) x.im) y.im #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x.im #s(literal -1 binary64)) y.im #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y.im (*.f64 (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (*.f64 (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 y.im (*.f64 (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y.im (*.f64 (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y.im (*.f64 (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (*.f64 (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) (fma.f64 y.im (*.f64 (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))
(neg.f64 (fma.f64 y.im x.im #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))))
(/.f64 (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y.im x.im #s(literal 0 binary64)))
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(*.f64 (/.f64 (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) x.im))
(*.f64 (/.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im x.im #s(literal 0 binary64))) (fma.f64 y.im x.im #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (*.f64 y.im y.im)) (/.f64 (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x.im x.im)))
(*.f64 (/.f64 (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x.im x.im)) (/.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (*.f64 y.im y.im)))
(*.f64 (/.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (*.f64 x.im x.im)) (/.f64 (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y.im y.im)))
(*.f64 (/.f64 (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y.im y.im)) (/.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (*.f64 x.im x.im)))
(*.f64 (/.f64 (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) x.im) (/.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) y.im) (/.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64))) (/.f64 (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) y.im))
(*.f64 (/.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) x.im))
(*.f64 (/.f64 (*.f64 y.im (*.f64 y.im y.im)) y.im) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64))) (/.f64 (*.f64 y.im (*.f64 y.im y.im)) y.im))
(*.f64 (/.f64 (*.f64 y.im (*.f64 y.im y.im)) x.im) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 y.im (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 y.im (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 y.im (*.f64 y.im y.im)) x.im))
(*.f64 (/.f64 (*.f64 y.im (*.f64 y.im y.im)) (fma.f64 y.im x.im #s(literal 0 binary64))) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 y.im x.im #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 y.im x.im #s(literal 0 binary64))) (/.f64 (*.f64 y.im (*.f64 y.im y.im)) (fma.f64 y.im x.im #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 y.im (*.f64 y.im y.im)) (*.f64 y.im y.im)) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im x.im)))
(*.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im x.im)) (/.f64 (*.f64 y.im (*.f64 y.im y.im)) (*.f64 y.im y.im)))
(*.f64 (/.f64 (*.f64 y.im (*.f64 y.im y.im)) (*.f64 x.im x.im)) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im y.im)))
(*.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.im y.im)) (/.f64 (*.f64 y.im (*.f64 y.im y.im)) (*.f64 x.im x.im)))
(*.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im) (/.f64 (*.f64 y.im (*.f64 y.im y.im)) (fma.f64 y.im (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) y.im) (/.f64 (*.f64 y.im (*.f64 y.im y.im)) (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64))))
(*.f64 (/.f64 (*.f64 y.im (*.f64 y.im y.im)) (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64))) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) y.im))
(*.f64 (/.f64 (*.f64 y.im (*.f64 y.im y.im)) (fma.f64 y.im (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im))
(*.f64 (/.f64 (pow.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) y.im) (/.f64 (pow.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) y.im))
(*.f64 (/.f64 (pow.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) x.im) (/.f64 (pow.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y.im (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y.im (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) x.im))
(*.f64 (/.f64 (pow.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y.im x.im #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 y.im x.im #s(literal 0 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 y.im y.im)) (/.f64 (pow.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 x.im x.im)))
(*.f64 (/.f64 (pow.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 x.im x.im)) (/.f64 (pow.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 y.im y.im)))
(*.f64 (/.f64 y.im y.im) (/.f64 (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) x.im))
(*.f64 (/.f64 (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) x.im) (/.f64 y.im y.im))
(*.f64 (/.f64 y.im x.im) (/.f64 (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) y.im))
(*.f64 (/.f64 (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) y.im) (/.f64 y.im x.im))
(*.f64 (/.f64 x.im y.im) (/.f64 (fma.f64 y.im (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) x.im))
(*.f64 (/.f64 (fma.f64 y.im (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) x.im) (/.f64 x.im y.im))
(*.f64 (/.f64 x.im x.im) (/.f64 (fma.f64 y.im (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) y.im))
(*.f64 (/.f64 (fma.f64 y.im (fma.f64 y.im x.im #s(literal 0 binary64)) #s(literal 0 binary64)) y.im) (/.f64 x.im x.im))
(*.f64 (/.f64 (*.f64 y.im y.im) y.im) (/.f64 (*.f64 x.im x.im) x.im))
(*.f64 (/.f64 (*.f64 x.im x.im) x.im) (/.f64 (*.f64 y.im y.im) y.im))
(*.f64 (/.f64 (*.f64 y.im y.im) x.im) (/.f64 (*.f64 x.im x.im) y.im))
(*.f64 (/.f64 (*.f64 x.im x.im) y.im) (/.f64 (*.f64 y.im y.im) x.im))
(*.f64 (/.f64 (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 y.im x.im #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (*.f64 (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 y.im (*.f64 (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 y.im (*.f64 (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y.im (*.f64 (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64)))) (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)) (fma.f64 y.im (fma.f64 y.im (*.f64 x.im x.im) #s(literal 0 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))))
(*.f64 (/.f64 (fma.f64 (fma.f64 y.im x.im #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64))) #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y.im x.im #s(literal 0 binary64)))))

simplify13.0ms (0.2%)

Memory
-7.9MiB live, 31.2MiB allocated
Algorithm
egg-herbie
Rules
28×*-lowering-*.f32
28×*-lowering-*.f64
24×+-lowering-+.f64
24×+-lowering-+.f32
24×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08240
114240
227240
331240
435240
547240
659240
770240
882240
983240
083240
Stop Event
iter limit
saturated
Counts
72 → 72
Calls
Call 1
Inputs
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* x.re y.re)
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* -1 (* x.im y.im))
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
(* x.im y.im)
Outputs
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* x.re y.re)
(*.f64 x.re y.re)
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* -1 (* x.im y.im))
(fma.f64 x.im (-.f64 #s(literal 0 binary64) y.im) #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))
(* x.im y.im)
(fma.f64 x.im y.im #s(literal 0 binary64))

eval41.0ms (0.7%)

Memory
13.3MiB live, 104.6MiB allocated
Compiler

Compiled 7 303 to 622 computations (91.5% saved)

prune46.0ms (0.8%)

Memory
6.5MiB live, 123.4MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3550355
Fresh000
Picked022
Done022
Total3554359
Accuracy
100.0%
Counts
359 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(fma.f64 y.re x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im y.im)))
99.2%
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
57.4%
(-.f64 #s(literal 0 binary64) (*.f64 y.im x.im))
47.6%
(*.f64 y.re x.re)
Compiler

Compiled 76 to 43 computations (43.4% saved)

regimes47.0ms (0.8%)

Memory
-15.0MiB live, 28.8MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 y.re x.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y.im x.im))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
(fma.f64 y.re x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im y.im)))
Outputs
(fma.f64 y.re x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im y.im)))
Calls

7 calls:

31.0ms
(*.f64 x.re y.re)
3.0ms
x.im
3.0ms
y.im
3.0ms
y.re
3.0ms
x.re
Results
AccuracySegmentsBranch
99.2%1x.re
99.2%1x.im
99.2%1y.re
99.2%1y.im
99.2%1(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
99.2%1(*.f64 x.re y.re)
99.2%1(*.f64 x.im y.im)
Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes27.0ms (0.5%)

Memory
-11.6MiB live, 27.6MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 y.re x.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y.im x.im))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
(-.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:

13.0ms
y.re
2.0ms
x.im
2.0ms
x.re
2.0ms
y.im
2.0ms
(*.f64 x.re y.re)
Results
AccuracySegmentsBranch
99.2%1x.re
99.2%1x.im
99.2%1y.re
99.2%1y.im
99.2%1(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
99.2%1(*.f64 x.re y.re)
99.2%1(*.f64 x.im y.im)
Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes16.0ms (0.3%)

Memory
-0.7MiB live, 38.0MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 y.re x.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 y.im x.im))
(-.f64 #s(literal 0 binary64) (fma.f64 x.im y.im #s(literal 0 binary64)))
Outputs
(*.f64 y.re x.re)
(-.f64 #s(literal 0 binary64) (*.f64 y.im x.im))
(*.f64 y.re x.re)
Calls

7 calls:

3.0ms
x.im
2.0ms
(*.f64 x.re y.re)
2.0ms
y.im
2.0ms
y.re
2.0ms
x.re
Results
AccuracySegmentsBranch
75.8%3x.re
72.2%3x.im
73.0%3y.re
73.8%3y.im
60.5%2(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
79.8%3(*.f64 x.re y.re)
76.7%3(*.f64 x.im y.im)
Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes11.0ms (0.2%)

Memory
28.6MiB live, 28.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 y.re x.re)
(fma.f64 x.re y.re #s(literal 0 binary64))
Outputs
(*.f64 y.re x.re)
Calls

7 calls:

2.0ms
x.im
1.0ms
y.re
1.0ms
y.im
1.0ms
x.re
1.0ms
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
Results
AccuracySegmentsBranch
47.6%1(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
47.6%1x.im
47.6%1y.re
47.6%1y.im
47.6%1x.re
47.6%1(*.f64 x.im y.im)
47.6%1(*.f64 x.re y.re)
Compiler

Compiled 45 to 33 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.4839897293138807e+31
4.283008076955379e+37
0.0ms
-1.1692878571282003e+92
-6.950850867112113e+84
Compiler

Compiled 14 to 14 computations (0% saved)

simplify9.0ms (0.2%)

Memory
-20.7MiB live, 18.2MiB allocated
Algorithm
egg-herbie
Rules
10×*-commutative_binary64
10×sub-neg_binary64
+-commutative_binary64
cancel-sign-sub-inv_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01937
13837
24837
35337
45537
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y.re x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im y.im)))
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
(if (<=.f64 (*.f64 x.re y.re) #s(literal -100000000000000004337729697461918607329029332495193931179177378933611681288968111094132375552 binary64)) (*.f64 y.re x.re) (if (<=.f64 (*.f64 x.re y.re) #s(literal 19999999999999999271792589930496 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y.im x.im)) (*.f64 y.re x.re)))
(*.f64 y.re x.re)
Outputs
(fma.f64 y.re x.re (-.f64 #s(literal 0 binary64) (*.f64 x.im y.im)))
(-.f64 (*.f64 x.re y.re) (*.f64 x.im y.im))
(-.f64 (*.f64 y.re x.re) (*.f64 x.im y.im))
(if (<=.f64 (*.f64 x.re y.re) #s(literal -100000000000000004337729697461918607329029332495193931179177378933611681288968111094132375552 binary64)) (*.f64 y.re x.re) (if (<=.f64 (*.f64 x.re y.re) #s(literal 19999999999999999271792589930496 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 y.im x.im)) (*.f64 y.re x.re)))
(if (<=.f64 (*.f64 y.re x.re) #s(literal -100000000000000004337729697461918607329029332495193931179177378933611681288968111094132375552 binary64)) (*.f64 y.re x.re) (if (<=.f64 (*.f64 y.re x.re) #s(literal 19999999999999999271792589930496 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x.im y.im)) (*.f64 y.re x.re)))
(*.f64 y.re x.re)

soundness934.0ms (16.5%)

Memory
0.7MiB live, 308.8MiB allocated
Rules
11 958×accelerator-lowering-fma.f32
11 958×accelerator-lowering-fma.f64
10 432×accelerator-lowering-fma.f32
10 432×accelerator-lowering-fma.f64
5 952×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042438
1141438
2387438
31312438
43785438
56105438
67988438
08008438
0713
12713
220413
3195213
0841113
01326
18726
285122
0961821
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 106 to 60 computations (43.4% saved)

preprocess88.0ms (1.5%)

Memory
-7.2MiB live, 117.4MiB allocated
Remove

(sort x.im y.im)

(sort x.re y.re)

Compiler

Compiled 208 to 110 computations (47.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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