_multiplyComplex, imaginary part

Time bar (total: 3.9s)

analyze0.0ms (0%)

Memory
1.0MiB live, 1.1MiB allocated
Algorithm
1×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)

sample712.0ms (18.1%)

Memory
34.7MiB live, 1 217.7MiB allocated
Samples
446.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 253.0ms
ival-mult: 189.0ms (74.8% of total)
ival-add: 55.0ms (21.8% of total)
ival-true: 6.0ms (2.4% of total)
ival-assert: 3.0ms (1.2% of total)
Bogosity

preprocess31.0ms (0.8%)

Memory
-6.6MiB live, 41.6MiB allocated
Algorithm
2×egg-herbie
Rules
136×unsub-neg
88×associate-*r*
70×distribute-lft-neg-in
68×distribute-lft-neg-out
56×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037113
176105
2131105
3297105
4444105
5569105
6621105
7631105
077
1107
0106
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(+ (* x.re y.im) (* x.im y.re))
Outputs
(+ (* x.re y.im) (* x.im y.re))
(fma.f64 x.re y.im (*.f64 x.im y.re))
Call 2
Inputs
(+ (* x.re y.im) (* x.im y.re))
(+ (* (neg x.re) y.im) (* x.im y.re))
(+ (* x.re y.im) (* (neg x.im) y.re))
(+ (* x.re y.im) (* x.im (neg y.re)))
(+ (* x.re (neg y.im)) (* x.im y.re))
(neg (+ (* (neg x.re) y.im) (* x.im y.re)))
(neg (+ (* x.re y.im) (* (neg x.im) y.re)))
(neg (+ (* x.re y.im) (* x.im (neg y.re))))
(neg (+ (* x.re (neg y.im)) (* x.im y.re)))
(+ (* x.im y.im) (* x.re y.re))
(+ (* y.re y.im) (* x.im x.re))
(+ (* y.im x.re) (* x.im y.re))
(+ (* x.re y.im) (* y.re x.im))
(+ (* x.re x.im) (* y.im y.re))
(+ (* x.re y.re) (* x.im y.im))
Outputs
(+ (* x.re y.im) (* x.im y.re))
(+ (* (neg x.re) y.im) (* x.im y.re))
(- (* x.im y.re) (* x.re y.im))
(+ (* x.re y.im) (* (neg x.im) y.re))
(- (* x.re y.im) (* x.im y.re))
(+ (* x.re y.im) (* x.im (neg y.re)))
(- (* x.re y.im) (* x.im y.re))
(+ (* x.re (neg y.im)) (* x.im y.re))
(- (* x.im y.re) (* x.re y.im))
(neg (+ (* (neg x.re) y.im) (* x.im y.re)))
(- (* x.re y.im) (* x.im y.re))
(neg (+ (* x.re y.im) (* (neg x.im) y.re)))
(- (* x.im y.re) (* x.re y.im))
(neg (+ (* x.re y.im) (* x.im (neg y.re))))
(- (* x.im y.re) (* x.re y.im))
(neg (+ (* x.re (neg y.im)) (* x.im y.re)))
(- (* x.re y.im) (* x.im y.re))
(+ (* x.im y.im) (* x.re y.re))
(+ (* y.im x.im) (* x.re y.re))
(+ (* y.re y.im) (* x.im x.re))
(+ (* y.im y.re) (* x.re x.im))
(+ (* y.im x.re) (* x.im y.re))
(+ (* x.re y.im) (* x.im y.re))
(+ (* x.re y.im) (* y.re x.im))
(+ (* x.re y.im) (* x.im y.re))
(+ (* x.re x.im) (* y.im y.re))
(+ (* y.im y.re) (* x.re x.im))
(+ (* x.re y.re) (* x.im y.im))
(+ (* y.im x.im) (* x.re y.re))
Symmetry

(sort x.re y.im)

(sort x.im y.re)

explain70.0ms (1.8%)

Memory
-5.7MiB live, 152.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-0-(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
00-0-(*.f64 x.im y.re)
00-0-x.re
00-0-y.re
00-0-(*.f64 x.re y.im)
00-0-y.im
00-0-x.im
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))nan-rescue20
↳(*.f64 x.re y.im)overflow34
↳(*.f64 x.im y.re)overflow30
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
29.0ms512×0valid
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 (72.1% of total)
ival-add: 2.0ms (20.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.2%
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify6.0ms (0.2%)

Memory
-31.5MiB live, 6.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x.im y.re)
✓cost-diff0
(*.f64 x.re y.im)
✓cost-diff128
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
Rules
8×*-lowering-*.f32
8×*-lowering-*.f64
8×accelerator-lowering-fma.f32
8×accelerator-lowering-fma.f64
4×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
11017
01016
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* x.re y.im) (* x.im y.re))
(* x.re y.im)
x.re
y.im
(* x.im y.re)
x.im
y.re
Outputs
(+ (* x.re y.im) (* x.im y.re))
(fma.f64 x.re y.im (*.f64 x.im y.re))
(* x.re y.im)
(*.f64 x.re y.im)
x.re
y.im
(* x.im y.re)
(*.f64 x.im y.re)
x.im
y.re

localize19.0ms (0.5%)

Memory
39.5MiB live, 39.5MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 x.re y.im)
✓accuracy100.0%
(*.f64 x.im y.re)
✓accuracy99.3%
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
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-add: 1.0ms (20.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
-23.8MiB live, 14.4MiB allocated
Counts
3 → 96
Calls
Call 1
Inputs
#<alt (+ (* x.re y.im) (* x.im y.re))>
#<alt (* x.re y.im)>
#<alt (* x.im y.re)>
Outputs
#<alt (* x.im y.re)>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (* x.re y.im)>
#<alt (* x.re (+ y.im (/ (* x.im y.re) x.re)))>
#<alt (* x.re (+ y.im (/ (* x.im y.re) x.re)))>
#<alt (* x.re (+ y.im (/ (* x.im y.re) x.re)))>
#<alt (* x.re y.im)>
#<alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))>
#<alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))>
#<alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))>
#<alt (* x.im y.re)>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (* x.re y.im)>
#<alt (* y.im (+ x.re (/ (* x.im y.re) y.im)))>
#<alt (* y.im (+ x.re (/ (* x.im y.re) y.im)))>
#<alt (* y.im (+ x.re (/ (* x.im y.re) y.im)))>
#<alt (* x.re y.im)>
#<alt (* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))>
#<alt (* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))>
#<alt (* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))>
#<alt (* x.re y.im)>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (* x.im y.re)>
#<alt (* x.im (+ y.re (/ (* x.re y.im) x.im)))>
#<alt (* x.im (+ y.re (/ (* x.re y.im) x.im)))>
#<alt (* x.im (+ y.re (/ (* x.re y.im) x.im)))>
#<alt (* x.im y.re)>
#<alt (* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))>
#<alt (* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))>
#<alt (* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))>
#<alt (* x.re y.im)>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (* x.im y.re)>
#<alt (* y.re (+ x.im (/ (* x.re y.im) y.re)))>
#<alt (* y.re (+ x.im (/ (* x.re y.im) y.re)))>
#<alt (* y.re (+ x.im (/ (* x.re y.im) y.re)))>
#<alt (* x.im y.re)>
#<alt (* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))>
#<alt (* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))>
#<alt (* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
Calls

24 calls:

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

rewrite505.0ms (12.9%)

Memory
12.9MiB live, 957.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
11 460×accelerator-lowering-fma.f32
11 460×accelerator-lowering-fma.f64
4 138×*-lowering-*.f32
4 138×*-lowering-*.f64
4 012×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
12313
217913
3184013
0823212
Stop Event
1×iter limit
1×node limit
Counts
3 → 175
Calls
Call 1
Inputs
(+ (* x.re y.im) (* x.im y.re))
(* x.re y.im)
(* x.im y.re)
Outputs
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
(+.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))
(+.f64 (/.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 y.re (*.f64 y.re (*.f64 x.im x.im))) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))))
(+.f64 (/.f64 (*.f64 y.re (*.f64 y.re (*.f64 x.im x.im))) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) (neg.f64 (/.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.re y.im (*.f64 x.im y.re)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x.re y.im) (-.f64 #s(literal 0 binary64) (*.f64 x.im y.re)))
(-.f64 (/.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))) (/.f64 (*.f64 y.re (*.f64 y.re (*.f64 x.im x.im))) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x.re y.im (*.f64 x.im y.re))))
(-.f64 (/.f64 (*.f64 y.re (*.f64 y.re (*.f64 x.im x.im))) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) (/.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (-.f64 (*.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re))))) (fma.f64 x.re (*.f64 y.im (*.f64 x.re y.im)) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re)))) (-.f64 (*.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re))))) (fma.f64 x.re (*.f64 y.im (*.f64 x.re y.im)) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (fma.f64 (*.f64 y.re (*.f64 y.re (*.f64 x.im x.im))) (fma.f64 y.re (*.f64 y.re (*.f64 x.im x.im)) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))) (*.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))))) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re)))) (fma.f64 (*.f64 y.re (*.f64 y.re (*.f64 x.im x.im))) (fma.f64 y.re (*.f64 y.re (*.f64 x.im x.im)) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))) (*.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))))) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))) (fma.f64 y.re (*.f64 y.re (*.f64 x.im x.im)) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))) (/.f64 (/.f64 (*.f64 (*.f64 x.im y.re) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re)))) (fma.f64 y.re (*.f64 y.re (*.f64 x.im x.im)) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x.re (*.f64 y.im (*.f64 x.re y.im)) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))))) (-.f64 #s(literal 0 binary64) (fma.f64 x.re y.im (*.f64 x.im y.re))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x.re (-.f64 #s(literal 0 binary64) y.im) (*.f64 x.im y.re))) (-.f64 #s(literal 0 binary64) (fma.f64 x.re y.im (*.f64 x.im y.re))))
(-.f64 (/.f64 (*.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (*.f64 (fma.f64 x.re (*.f64 y.im (*.f64 x.re y.im)) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))) (-.f64 (*.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re)))))) (/.f64 (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re)))) (*.f64 (fma.f64 x.re (*.f64 y.im (*.f64 x.re y.im)) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))) (-.f64 (*.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re)))))))
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(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x.re y.im (*.f64 x.im y.re))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x.re y.im (*.f64 x.im y.re))))))
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(*.f64 (/.f64 (fma.f64 (*.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (*.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re)))))) (fma.f64 x.re (*.f64 y.im (*.f64 x.re y.im)) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re))) (-.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re))) (*.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))))) (*.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))))))
(*.f64 (/.f64 (*.f64 (fma.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re)))) (-.f64 (*.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re))))) (fma.f64 x.re (*.f64 y.im (*.f64 x.re y.im)) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re))))))
(*.f64 (/.f64 (*.f64 (fma.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re)))) (-.f64 (*.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re))))) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y.re (*.f64 y.re (*.f64 x.im x.im))) (fma.f64 y.re (*.f64 y.re (*.f64 x.im x.im)) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))) (*.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))))))
(*.f64 (/.f64 (*.f64 (fma.f64 y.re (*.f64 y.re (*.f64 x.im x.im)) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))) (*.f64 (fma.f64 x.re y.im (*.f64 x.im y.re)) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)))) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))) (/.f64 #s(literal 1 binary64) (fma.f64 y.re (*.f64 y.re (*.f64 x.im x.im)) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))))
(*.f64 (/.f64 (fma.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re)))) (fma.f64 (*.f64 x.re y.im) (*.f64 (*.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))) (*.f64 (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) (*.f64 (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))))))) (fma.f64 x.re (*.f64 (*.f64 y.im (*.f64 x.re y.im)) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))) (*.f64 (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) (-.f64 (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im))) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))))))
(*.f64 (/.f64 (fma.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re)))) (*.f64 (fma.f64 x.re (*.f64 y.im (*.f64 x.re y.im)) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))) (-.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))))) (-.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x.re y.im (*.f64 x.im y.re)) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))) (-.f64 (*.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re))))) (fma.f64 x.re (*.f64 y.im (*.f64 x.re y.im)) (*.f64 (*.f64 x.im y.re) (fma.f64 x.re y.im (*.f64 x.im y.re)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) (*.f64 (fma.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re)))) (-.f64 (*.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y.re (*.f64 y.re (*.f64 x.im x.im))) (fma.f64 y.re (*.f64 y.re (*.f64 x.im x.im)) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))) (*.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re)) (*.f64 (fma.f64 y.re (*.f64 y.re (*.f64 x.im x.im)) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))) (*.f64 (fma.f64 x.re y.im (*.f64 x.im y.re)) (-.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y.re (*.f64 y.re (*.f64 x.im x.im)) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x.re (*.f64 y.im (*.f64 x.re y.im)) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))) (fma.f64 (*.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (*.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re))) (*.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re))) (-.f64 (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re))) (*.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))))) (*.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))) (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x.re (*.f64 y.im (*.f64 x.re y.im)) (*.f64 (*.f64 x.im y.re) (-.f64 (*.f64 x.im y.re) (*.f64 x.re y.im)))) (*.f64 (fma.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im)))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re)))) (-.f64 (*.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x.re (*.f64 y.im (*.f64 y.im (*.f64 x.re (*.f64 x.re y.im))))) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re (*.f64 y.re y.re))))))
(exp.f64 (log.f64 (*.f64 x.re y.im)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.re y.im)) #s(literal 1 binary64)))
(pow.f64 (*.f64 x.re y.im) #s(literal 1 binary64))
(*.f64 x.re y.im)
(*.f64 y.im x.re)
(*.f64 (pow.f64 x.re #s(literal 1 binary64)) (pow.f64 y.im #s(literal 1 binary64)))
(*.f64 (pow.f64 y.im #s(literal 1 binary64)) (pow.f64 x.re #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 x.re)) (exp.f64 (log.f64 y.im)))
(*.f64 (exp.f64 (log.f64 y.im)) (exp.f64 (log.f64 x.re)))
(exp.f64 (log.f64 (*.f64 x.im y.re)))
(exp.f64 (*.f64 (log.f64 (*.f64 x.im y.re)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.im y.re)))
(neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x.im y.re)))
(pow.f64 (*.f64 x.im y.re) #s(literal 1 binary64))
(*.f64 x.im y.re)
(*.f64 y.re x.im)
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 x.im y.re)))
(*.f64 (pow.f64 x.im #s(literal 1 binary64)) (pow.f64 y.re #s(literal 1 binary64)))
(*.f64 (pow.f64 y.re #s(literal 1 binary64)) (pow.f64 x.im #s(literal 1 binary64)))
(*.f64 (exp.f64 (log.f64 x.im)) (exp.f64 (log.f64 y.re)))
(*.f64 (exp.f64 (log.f64 y.re)) (exp.f64 (log.f64 x.im)))

simplify184.0ms (4.7%)

Memory
15.0MiB live, 344.3MiB allocated
Algorithm
1×egg-herbie
Rules
4 166×accelerator-lowering-fma.f32
4 166×accelerator-lowering-fma.f64
2 650×*-lowering-*.f32
2 650×*-lowering-*.f64
1 394×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040432
1149432
2468432
31238432
43371432
55682432
67172432
08030396
Stop Event
1×iter limit
1×node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* x.im y.re)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.re y.im)
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re y.im)
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* x.im y.re)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.re y.im)
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* x.re y.im)
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* x.re y.im)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.im y.re)
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im y.re)
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* x.re y.im)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.im y.re)
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* x.im y.re)
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
Outputs
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))

eval36.0ms (0.9%)

Memory
-0.9MiB live, 74.3MiB allocated
Compiler

Compiled 11 242 to 487 computations (95.7% saved)

prune30.0ms (0.8%)

Memory
1.0MiB live, 74.8MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2683271
Fresh000
Picked101
Done000
Total2693272
Accuracy
100.0%
Counts
272 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(fma.f64 y.im x.re (*.f64 x.im y.re))
▶51.1%
(fma.f64 x.re y.im #s(literal 0 binary64))
▶52.5%
(fma.f64 x.im y.re #s(literal 0 binary64))
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify4.0ms (0.1%)

Memory
10.0MiB live, 10.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01126
11726
22026
02025
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* x.im y.re) 0)
x.im
y.re
0
(+ (* x.re y.im) 0)
x.re
y.im
0
(+ (* y.im x.re) (* x.im y.re))
y.im
x.re
(* x.im y.re)
x.im
y.re
Outputs
(+ (* x.im y.re) 0)
(fma.f64 x.im y.re #s(literal 0 binary64))
x.im
y.re
0
#s(literal 0 binary64)
(+ (* x.re y.im) 0)
(fma.f64 x.re y.im #s(literal 0 binary64))
x.re
y.im
0
#s(literal 0 binary64)
(+ (* y.im x.re) (* x.im y.re))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
y.im
x.re
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
x.im
y.re

localize38.0ms (1%)

Memory
-7.0MiB live, 71.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 y.im x.re (*.f64 x.im y.re))
✓accuracy100.0%
(*.f64 x.im y.re)
✓accuracy100.0%
(fma.f64 x.re y.im #s(literal 0 binary64))
✓accuracy100.0%
(fma.f64 x.im y.re #s(literal 0 binary64))
Samples
28.0ms256×0valid
Compiler

Compiled 29 to 13 computations (55.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 5.0ms (46.3% of total)
ival-mult: 5.0ms (46.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated
Counts
4 → 120
Calls
Call 1
Inputs
#<alt (+ (* x.im y.re) 0)>
#<alt (+ (* x.re y.im) 0)>
#<alt (+ (* y.im x.re) (* x.im y.re))>
#<alt (* x.im y.re)>
Outputs
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.im y.re)>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (* x.re y.im)>
#<alt (* y.im (+ x.re (/ (* x.im y.re) y.im)))>
#<alt (* y.im (+ x.re (/ (* x.im y.re) y.im)))>
#<alt (* y.im (+ x.re (/ (* x.im y.re) y.im)))>
#<alt (* x.re y.im)>
#<alt (* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))>
#<alt (* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))>
#<alt (* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))>
#<alt (* x.im y.re)>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (* x.re y.im)>
#<alt (* x.re (+ y.im (/ (* x.im y.re) x.re)))>
#<alt (* x.re (+ y.im (/ (* x.im y.re) x.re)))>
#<alt (* x.re (+ y.im (/ (* x.im y.re) x.re)))>
#<alt (* x.re y.im)>
#<alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))>
#<alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))>
#<alt (* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))>
#<alt (* x.re y.im)>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (* x.im y.re)>
#<alt (* x.im (+ y.re (/ (* x.re y.im) x.im)))>
#<alt (* x.im (+ y.re (/ (* x.re y.im) x.im)))>
#<alt (* x.im (+ y.re (/ (* x.re y.im) x.im)))>
#<alt (* x.im y.re)>
#<alt (* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))>
#<alt (* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))>
#<alt (* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))>
#<alt (* x.re y.im)>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (+ (* x.im y.re) (* x.re y.im))>
#<alt (* x.im y.re)>
#<alt (* y.re (+ x.im (/ (* x.re y.im) y.re)))>
#<alt (* y.re (+ x.im (/ (* x.re y.im) y.re)))>
#<alt (* y.re (+ x.im (/ (* x.re y.im) y.re)))>
#<alt (* x.im y.re)>
#<alt (* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))>
#<alt (* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))>
#<alt (* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
Calls

30 calls:

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

rewrite821.0ms (20.9%)

Memory
26.9MiB live, 1 028.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
12 506×accelerator-lowering-fma.f32
12 506×accelerator-lowering-fma.f64
4 412×*-lowering-*.f32
4 412×*-lowering-*.f64
3 766×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
15516
265416
0909815
Stop Event
1×iter limit
1×node limit
Counts
4 → 1 044
Calls
Call 1
Inputs
(+ (* x.im y.re) 0)
(+ (* x.re y.im) 0)
(+ (* y.im x.re) (* x.im y.re))
(* x.im y.re)
Outputs
(+.f64 #s(literal 0 binary64) (fma.f64 x.im y.re #s(literal 0 binary64)))
(+.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x.im y.re #s(literal 0 binary64))))
(-.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 x.im y.re #s(literal 0 binary64))
(fma.f64 x.im (*.f64 (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.re #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 y.re x.im #s(literal 0 binary64))
(fma.f64 y.re (*.f64 (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.re #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.re #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) (/.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) (fma.f64 x.im y.re #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) (*.f64 (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) (*.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.re #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 (*.f64 y.re (*.f64 y.re y.re)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 y.re (*.f64 y.re y.re)) (*.f64 (*.f64 x.im (*.f64 x.im x.im)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x.im y.re #s(literal 0 binary64))) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im y.re #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 x.im y.re #s(literal 0 binary64))) (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x.im y.re #s(literal 0 binary64))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x.im y.re #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 3/2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 x.im x.im) (*.f64 (*.f64 y.re y.re) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.re #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 y.re y.re) (*.f64 (*.f64 x.im x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.re #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) (*.f64 x.im (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.re #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y.re (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.re #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)) y.re) (/.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)) x.im) (/.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 x.im (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.re #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 y.re (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.re #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) (fma.f64 x.im y.re #s(literal 0 binary64))) (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x.im x.im) (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 y.re y.re) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.re #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 y.re y.re) (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 x.im x.im) (/.f64 #s(literal 1 binary64) (fma.f64 x.im y.re #s(literal 0 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64))) (/.f64 (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)) x.im) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)) y.re) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x.im x.im)) (/.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) (*.f64 y.re y.re)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) (*.f64 y.re y.re)) (/.f64 (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 x.im x.im)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y.re y.re)) (/.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) (*.f64 x.im x.im)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) (*.f64 x.im x.im)) (/.f64 (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 y.re y.re)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) y.re) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) y.re) (/.f64 (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) y.re) (/.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) x.im) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64))) (/.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) x.im) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) x.im) (/.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) y.re) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) x.im) (/.f64 (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im) (/.f64 (*.f64 y.re (*.f64 y.re y.re)) (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 y.re (*.f64 y.re y.re)) (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64))) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) x.im) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) y.re) (/.f64 (*.f64 y.re (*.f64 y.re y.re)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 y.re (*.f64 y.re y.re)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) y.re) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 x.im y.re #s(literal 0 binary64))) (/.f64 (*.f64 y.re (*.f64 y.re y.re)) (fma.f64 x.im y.re #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 y.re (*.f64 y.re y.re)) (fma.f64 x.im y.re #s(literal 0 binary64))) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 x.im y.re #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im x.im)) (/.f64 (*.f64 y.re (*.f64 y.re y.re)) (*.f64 y.re y.re)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 y.re (*.f64 y.re y.re)) (*.f64 y.re y.re)) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 x.im x.im)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re y.re)) (/.f64 (*.f64 y.re (*.f64 y.re y.re)) (*.f64 x.im x.im)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 y.re (*.f64 y.re y.re)) (*.f64 x.im x.im)) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (*.f64 y.re y.re)) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 y.re (*.f64 y.re y.re)) y.re) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 y.re (*.f64 y.re y.re)) x.im) (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64))) (/.f64 (*.f64 y.re (*.f64 y.re y.re)) x.im) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x.im (*.f64 x.im x.im)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (*.f64 y.re (*.f64 y.re y.re)) y.re) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 3/2 binary64)) x.im) (/.f64 (pow.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 3/2 binary64)) x.im) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 3/2 binary64)) y.re) (/.f64 (pow.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 3/2 binary64)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (pow.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 3/2 binary64)) y.re) #s(literal 0 binary64))
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(*.f64 (/.f64 (fma.f64 (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x.im y.re #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) (fma.f64 x.im (fma.f64 x.im y.re #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)))) (fma.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x.im y.re #s(literal 0 binary64))) #s(literal 0 binary64)))
(*.f64 (/.f64 (fma.f64 x.im (fma.f64 x.im (*.f64 y.re y.re) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 x.im y.re #s(literal 0 binary64)) (-.f64 #s(literal 0 binary64) (fma.f64 x.im y.re #s(literal 0 binary64))) #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 x.im y.re #s(literal 0 binary64))))

simplify176.0ms (4.5%)

Memory
5.4MiB live, 361.7MiB allocated
Algorithm
1×egg-herbie
Rules
4 166×accelerator-lowering-fma.f32
4 166×accelerator-lowering-fma.f64
2 650×*-lowering-*.f32
2 650×*-lowering-*.f64
1 394×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040504
1149504
2468504
31236504
43366504
55679504
67169504
08029468
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.im y.re)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.re y.im)
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(* x.re y.im)
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(* x.im y.re)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.re y.im)
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(* x.re y.im)
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(* x.re y.im)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.im y.re)
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(* x.im y.re)
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(* x.re y.im)
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(+ (* x.im y.re) (* x.re y.im))
(* x.im y.re)
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(* x.im y.re)
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
Outputs
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* y.im (+ x.re (/ (* x.im y.re) y.im)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* -1 (* y.im (+ (* -1 x.re) (* -1 (/ (* x.im y.re) y.im)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.re (+ y.im (/ (* x.im y.re) x.re)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* -1 (* x.re (+ (* -1 y.im) (* -1 (/ (* x.im y.re) x.re)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.im (+ y.re (/ (* x.re y.im) x.im)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* -1 (* x.im (+ (* -1 y.re) (* -1 (/ (* x.re y.im) x.im)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.re y.im)
(fma.f64 x.re y.im #s(literal 0 binary64))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(+ (* x.im y.re) (* x.re y.im))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* y.re (+ x.im (/ (* x.re y.im) y.re)))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* -1 (* y.re (+ (* -1 x.im) (* -1 (/ (* x.re y.im) y.re)))))
(fma.f64 x.im y.re (fma.f64 x.re y.im #s(literal 0 binary64)))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))
(* x.im y.re)
(fma.f64 x.im y.re #s(literal 0 binary64))

eval187.0ms (4.7%)

Memory
26.0MiB live, 332.6MiB allocated
Compiler

Compiled 32 824 to 1 619 computations (95.1% saved)

prune181.0ms (4.6%)

Memory
-51.2MiB live, 484.1MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1 16221 164
Fresh000
Picked213
Done000
Total1 16431 167
Accuracy
100.0%
Counts
1 167 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 y.im x.re (*.f64 x.im y.re))
▶52.5%
(*.f64 y.re x.im)
▶51.1%
(*.f64 y.im x.re)
Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify4.0ms (0.1%)

Memory
-32.1MiB live, 8.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y.re x.im)
✓cost-diff0
(*.f64 y.im x.re)
Rules
8×*-lowering-*.f32
8×*-lowering-*.f64
4×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
1810
0810
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* y.im x.re)
y.im
x.re
(* y.re x.im)
y.re
x.im
Outputs
(* y.im x.re)
(*.f64 y.im x.re)
y.im
x.re
(* y.re x.im)
(*.f64 y.re x.im)
y.re
x.im

localize16.0ms (0.4%)

Memory
2.5MiB live, 42.0MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 y.re x.im)
✓accuracy100.0%
(*.f64 y.im x.re)
Samples
11.0ms256×0valid
Compiler

Compiled 12 to 8 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 3.0ms (81.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Counts
2 → 48
Calls
Call 1
Inputs
#<alt (* y.im x.re)>
#<alt (* y.re x.im)>
Outputs
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.re y.im)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
#<alt (* x.im y.re)>
Calls

12 calls:

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

rewrite7.0ms (0.2%)

Memory
20.2MiB live, 20.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8×*-lowering-*.f32
8×*-lowering-*.f64
4×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
186
086
Stop Event
1×iter limit
1×saturated
Counts
2 → 4
Calls
Call 1
Inputs
(* y.im x.re)
(* y.re x.im)
Outputs
(*.f64 y.im x.re)
(*.f64 x.re y.im)
(*.f64 y.re x.im)
(*.f64 x.im y.re)

simplify7.0ms (0.2%)

Memory
-16.3MiB live, 22.8MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-lowering-*.f32
8×*-lowering-*.f64
4×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06144
18144
08144
Stop Event
1×iter limit
1×saturated
Counts
48 → 48
Calls
Call 1
Inputs
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.re y.im)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
(* x.im y.re)
Outputs
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.re y.im)
(*.f64 x.re y.im)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)
(* x.im y.re)
(*.f64 x.im y.re)

eval5.0ms (0.1%)

Memory
17.6MiB live, 17.6MiB allocated
Compiler

Compiled 160 to 8 computations (95% saved)

prune2.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh000
Picked022
Done011
Total52355
Accuracy
100.0%
Counts
55 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(fma.f64 y.im x.re (*.f64 x.im y.re))
✓52.5%
(*.f64 y.re x.im)
✓51.1%
(*.f64 y.im x.re)
Compiler

Compiled 55 to 29 computations (47.3% saved)

regimes25.0ms (0.6%)

Memory
-14.1MiB live, 66.1MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 y.im x.re)
(*.f64 y.re x.im)
(fma.f64 x.im y.re #s(literal 0 binary64))
(fma.f64 x.re y.im #s(literal 0 binary64))
(fma.f64 y.im x.re (*.f64 x.im y.re))
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
Outputs
(fma.f64 y.im x.re (*.f64 x.im y.re))
Calls

7 calls:

7.0ms
y.re
3.0ms
(*.f64 x.im y.re)
3.0ms
(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
3.0ms
(*.f64 x.re y.im)
3.0ms
x.im
Results
AccuracySegmentsBranch
100.0%1x.re
100.0%1x.im
100.0%1y.re
100.0%1y.im
100.0%1(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
100.0%1(*.f64 x.re y.im)
100.0%1(*.f64 x.im y.re)
Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes42.0ms (1.1%)

Memory
-6.2MiB live, 33.4MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 y.im x.re)
(*.f64 y.re x.im)
(fma.f64 x.im y.re #s(literal 0 binary64))
(fma.f64 x.re y.im #s(literal 0 binary64))
Outputs
(*.f64 y.re x.im)
(*.f64 y.im x.re)
(*.f64 y.re x.im)
Calls

7 calls:

29.0ms
y.im
2.0ms
(*.f64 x.im y.re)
2.0ms
x.re
2.0ms
y.re
2.0ms
x.im
Results
AccuracySegmentsBranch
71.4%3x.re
74.8%3x.im
71.9%3y.re
70.9%3y.im
57.8%3(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
75.0%3(*.f64 x.re y.im)
78.9%3(*.f64 x.im y.re)
Compiler

Compiled 45 to 33 computations (26.7% saved)

regimes9.0ms (0.2%)

Memory
19.5MiB live, 19.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

7 calls:

1.0ms
x.im
1.0ms
y.re
1.0ms
x.re
1.0ms
y.im
1.0ms
(*.f64 x.re y.im)
Results
AccuracySegmentsBranch
51.1%1(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))
51.1%1y.im
51.1%1x.re
51.1%1y.re
51.1%1x.im
51.1%1(*.f64 x.re y.im)
51.1%1(*.f64 x.im y.re)
Compiler

Compiled 45 to 33 computations (26.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
2.620507219009486e+75
1.6338024817704338e+80
0.0ms
-1.1160380990860524e-15
-4.803954267340538e-28
Compiler

Compiled 14 to 14 computations (0% saved)

simplify18.0ms (0.5%)

Memory
-27.8MiB live, 11.7MiB allocated
Algorithm
1×egg-herbie
Rules
4×*-commutative_binary64
2×if-if-or-not_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01428
12128
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 y.im x.re (*.f64 x.im y.re))
(if (<=.f64 (*.f64 x.im y.re) #s(literal -2535301200456459/2535301200456458802993406410752 binary64)) (*.f64 y.re x.im) (if (<=.f64 (*.f64 x.im y.re) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (*.f64 y.im x.re) (*.f64 y.re x.im)))
(*.f64 y.im x.re)
Outputs
(fma.f64 y.im x.re (*.f64 x.im y.re))
(if (<=.f64 (*.f64 x.im y.re) #s(literal -2535301200456459/2535301200456458802993406410752 binary64)) (*.f64 y.re x.im) (if (<=.f64 (*.f64 x.im y.re) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (*.f64 y.im x.re) (*.f64 y.re x.im)))
(if (<=.f64 (*.f64 x.im y.re) #s(literal -2535301200456459/2535301200456458802993406410752 binary64)) (*.f64 x.im y.re) (if (<=.f64 (*.f64 x.im y.re) #s(literal 5000000000000000235300672479527347945779800703933315382139354767449124765696 binary64)) (*.f64 y.im x.re) (*.f64 x.im y.re)))
(*.f64 y.im x.re)

soundness755.0ms (19.2%)

Memory
12.4MiB live, 405.2MiB allocated
Rules
12 506×accelerator-lowering-fma.f32
12 506×accelerator-lowering-fma.f64
11 460×accelerator-lowering-fma.f32
11 460×accelerator-lowering-fma.f64
4 412×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
12313
217913
3184013
0823212
040432
1149432
2468432
31238432
43371432
55682432
67172432
08030396
01116
15516
265416
0909815
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 89 to 52 computations (41.6% saved)

preprocess29.0ms (0.7%)

Memory
12.7MiB live, 87.4MiB allocated
Remove

(sort x.im y.re)

(sort x.re y.im)

Compiler

Compiled 130 to 64 computations (50.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...