math.square on complex, real part

Time bar (total: 2.9s)

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample470.0ms (16.1%)

Memory
45.1MiB live, 620.6MiB allocated
Samples
329.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 184.0ms
ival-mult: 117.0ms (63.6% of total)
ival-sub: 58.0ms (31.5% of total)
ival-true: 5.0ms (2.7% of total)
ival-assert: 3.0ms (1.6% of total)
Bogosity

preprocess247.0ms (8.5%)

Memory
-26.3MiB live, 60.2MiB allocated
Algorithm
egg-herbie
Rules
890×fma-define
593×sub-neg
575×fmm-def
564×distribute-lft-in
514×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020229
166217
2174217
3440217
41065217
52042217
63004217
73846217
85624217
96223217
106336217
116450217
126530217
136530217
147911217
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 re re) (*.f64 im im))
(-.f64 (*.f64 re re) (*.f64 im im))
(-.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))
(-.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))
(neg.f64 (-.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))
(neg.f64 (-.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))
(-.f64 (*.f64 im im) (*.f64 re re))
Outputs
(-.f64 (*.f64 re re) (*.f64 im im))
(fma.f64 re re (*.f64 im (neg.f64 im)))
(-.f64 (*.f64 re re) (*.f64 im im))
(fma.f64 re re (*.f64 im (neg.f64 im)))
(-.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))
(-.f64 (*.f64 re re) (*.f64 im im))
(fma.f64 re re (*.f64 im (neg.f64 im)))
(-.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))
(-.f64 (*.f64 re re) (*.f64 im im))
(fma.f64 re re (*.f64 im (neg.f64 im)))
(neg.f64 (-.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))
(neg.f64 (-.f64 (*.f64 re re) (*.f64 im im)))
(-.f64 (*.f64 im im) (*.f64 re re))
(fma.f64 re (neg.f64 re) (*.f64 im im))
(*.f64 (-.f64 im re) (+.f64 re im))
(neg.f64 (-.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))
(neg.f64 (-.f64 (*.f64 re re) (*.f64 im im)))
(-.f64 (*.f64 im im) (*.f64 re re))
(fma.f64 re (neg.f64 re) (*.f64 im im))
(*.f64 (-.f64 im re) (+.f64 re im))
(-.f64 (*.f64 im im) (*.f64 re re))
(neg.f64 (-.f64 (*.f64 re re) (*.f64 im im)))
(fma.f64 re (neg.f64 re) (*.f64 im im))
(*.f64 (-.f64 im re) (+.f64 re im))
Symmetry

(abs re)

(abs im)

explain56.0ms (1.9%)

Memory
4.9MiB live, 81.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
160-0-(-.f64 (*.f64 re re) (*.f64 im im))
00-0-(*.f64 re re)
00-0-re
00-0-(*.f64 im im)
00-0-im
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 re re) (*.f64 im im))nan-rescue160
(*.f64 re re)overflow63
(*.f64 im im)overflow70
Confusion
Predicted +Predicted -
+160
-0240
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+1600
-00240
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0240
116
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
22.0ms512×0valid
Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (66.1% of total)
ival-sub: 3.0ms (28.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 9 to 5 computations (44.4% saved)

prune1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(fma.f64 re re (*.f64 im (neg.f64 im)))
93.8%
(-.f64 (*.f64 re re) (*.f64 im im))
Compiler

Compiled 18 to 10 computations (44.4% saved)

simplify248.0ms (8.5%)

Memory
-3.6MiB live, 33.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 im)
cost-diff0
(*.f64 im (neg.f64 im))
cost-diff6336
(fma.f64 re re (*.f64 im (neg.f64 im)))
cost-diff0
(*.f64 im im)
cost-diff0
(*.f64 re re)
cost-diff0
(-.f64 (*.f64 re re) (*.f64 im im))
Rules
1 472×distribute-lft-in
675×fma-define
595×fmm-def
593×sub-neg
382×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015129
128129
237129
370129
4149129
5413129
6895129
71730129
83984129
95739129
106673129
117004129
127241129
137362129
147362129
157362129
167362129
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (*.f64 re re) (*.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im
(fma.f64 re re (*.f64 im (neg.f64 im)))
re
(*.f64 im (neg.f64 im))
im
(neg.f64 im)
Outputs
(-.f64 (*.f64 re re) (*.f64 im im))
(*.f64 (+.f64 re im) (-.f64 re im))
(*.f64 re re)
re
(*.f64 im im)
im
(fma.f64 re re (*.f64 im (neg.f64 im)))
(*.f64 (+.f64 re im) (-.f64 re im))
(-.f64 (*.f64 re re) (*.f64 im im))
re
(*.f64 im (neg.f64 im))
im
(neg.f64 im)

localize32.0ms (1.1%)

Memory
-0.6MiB live, 38.5MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 im (neg.f64 im))
accuracy100.0%
(neg.f64 im)
accuracy98.0%
(fma.f64 re re (*.f64 im (neg.f64 im)))
accuracy100.0%
(*.f64 re re)
accuracy100.0%
(*.f64 im im)
accuracy94.1%
(-.f64 (*.f64 re re) (*.f64 im im))
Samples
16.0ms256×0valid
Compiler

Compiled 32 to 10 computations (68.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-mult: 5.0ms (58.1% of total)
ival-sub: 1.0ms (11.6% of total)
ival-add: 1.0ms (11.6% of total)
ival-neg: 1.0ms (11.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.3%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
6 → 96
Calls
Call 1
Inputs
#<alt (-.f64 (*.f64 re re) (*.f64 im im))>
#<alt (*.f64 re re)>
#<alt (*.f64 im im)>
#<alt (fma.f64 re re (*.f64 im (neg.f64 im)))>
#<alt (*.f64 im (neg.f64 im))>
#<alt (neg.f64 im)>
Outputs
#<alt (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))>
#<alt (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) im)>
Calls

24 calls:

TimeVariablePointExpression
1.0ms
re
@0
(- (* re re) (* im im))
1.0ms
re
@inf
(- (* re re) (* im im))
1.0ms
re
@0
(+ (* re re) (* im (neg im)))
1.0ms
im
@0
(- (* re re) (* im im))
1.0ms
im
@inf
(* im (neg im))

rewrite271.0ms (9.3%)

Memory
-1.5MiB live, 304.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
605×prod-diff
531×log1p-expm1-u
531×expm1-log1p-u
504×unpow-prod-down
289×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01588
119072
2227772
Stop Event
node limit
Counts
6 → 501
Calls
Call 1
Inputs
(-.f64 (*.f64 re re) (*.f64 im im))
(*.f64 re re)
(*.f64 im im)
(fma.f64 re re (*.f64 im (neg.f64 im)))
(*.f64 im (neg.f64 im))
(neg.f64 im)
Outputs
(+.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 im im (fma.f64 im im (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)) (fma.f64 im im (pow.f64 im #s(literal 2 binary64))))
(+.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64))))
(+.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)) (*.f64 (fma.f64 im im (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)) (+.f64 (fma.f64 im im (pow.f64 im #s(literal 2 binary64))) (fma.f64 im im (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (fma.f64 im im (pow.f64 im #s(literal 2 binary64))) (pow.f64 (+.f64 re im) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (+.f64 re im) #s(literal 2 binary64)))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 im) im) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) im)
(*.f64 (pow.f64 (*.f64 im (sqrt.f64 im)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 im) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)) im)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 im)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 im)) (cbrt.f64 (cbrt.f64 im))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 im)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 im)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 im)) #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) im)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 im (sqrt.f64 im)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 im (sqrt.f64 im)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 im)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 im) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 im))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 im)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) im)
(/.f64 (pow.f64 im #s(literal 2 binary64)) im)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(pow.f64 im #s(literal 1 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
(pow.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(fabs.f64 im)
(log.f64 (exp.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 im))))
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
im
(expm1.f64 (log1p.f64 im))
(log1p.f64 (expm1.f64 im))
(exp.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 im)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 im)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 im)) #s(literal 2 binary64)))

simplify324.0ms (11.1%)

Memory
39.5MiB live, 273.2MiB allocated
Algorithm
egg-herbie
Rules
698×fmm-def
317×distribute-lft-neg-in
298×unswap-sqr
297×distribute-rgt-neg-in
245×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07114294987335
115614294984899
244694294983690
Stop Event
node limit
Counts
597 → 401
Calls
Call 1
Inputs
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
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(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
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(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 im (sqrt.f64 im)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 im (sqrt.f64 im)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 im)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 im) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 im))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 im)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) im)
(/.f64 (pow.f64 im #s(literal 2 binary64)) im)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(pow.f64 im #s(literal 1 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
(pow.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
(fabs.f64 im)
(log.f64 (exp.f64 im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 im))))
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 im))
(log1p.f64 (expm1.f64 im))
(exp.f64 (log.f64 im))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 im)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 im)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 im)) #s(literal 2 binary64)))
Outputs
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 re (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))
(-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
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(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)))
im
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 im)) #s(literal 3 binary64)))
im
(*.f64 (pow.f64 (*.f64 (cbrt.f64 (cbrt.f64 im)) (cbrt.f64 (cbrt.f64 im))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 im)) #s(literal 3 binary64)))
im
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 im)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 im)) #s(literal 3 binary64)))
im
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) im)
im
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) im) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (cbrt.f64 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 5 binary64))))
(*.f64 (pow.f64 (*.f64 im (sqrt.f64 im)) #s(literal 1/3 binary64)) (pow.f64 (*.f64 im (sqrt.f64 im)) #s(literal 1/3 binary64)))
im
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 im)) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 im)) (cbrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 8 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 im)) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 im) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 im)) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 im))))
(*.f64 (cbrt.f64 (sqrt.f64 im)) (cbrt.f64 (*.f64 im (pow.f64 (sqrt.f64 im) #s(literal 3 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 im)) (cbrt.f64 (pow.f64 (sqrt.f64 im) #s(literal 5 binary64))))
(*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 im))
(*.f64 (cbrt.f64 im) (cbrt.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 im)) #s(literal 2 binary64)))
im
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 im)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 im)) #s(literal 2 binary64)))
im
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) im)
(neg.f64 im)
(/.f64 (pow.f64 im #s(literal 2 binary64)) im)
im
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 im im (*.f64 #s(literal 0 binary64) im))))
(neg.f64 im)
(pow.f64 im #s(literal 1 binary64))
im
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))
im
(pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 3 binary64))
im
(pow.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 1/3 binary64))
im
(pow.f64 (sqrt.f64 im) #s(literal 2 binary64))
im
(sqrt.f64 (pow.f64 im #s(literal 2 binary64)))
im
(fabs.f64 im)
im
(log.f64 (exp.f64 im))
im
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 im)))
im
(log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (expm1.f64 im))))
(neg.f64 im)
(cbrt.f64 (pow.f64 im #s(literal 3 binary64)))
im
(expm1.f64 (log1p.f64 im))
(log1p.f64 (expm1.f64 im))
im
(exp.f64 (log.f64 im))
im
(exp.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)))
im
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1/2 binary64)))
im
(exp.f64 (*.f64 (log.f64 (cbrt.f64 im)) #s(literal 3 binary64)))
im
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 im)) #s(literal 1/3 binary64)))
im
(exp.f64 (*.f64 (log.f64 (sqrt.f64 im)) #s(literal 2 binary64)))
im

eval49.0ms (1.7%)

Memory
1.9MiB live, 77.3MiB allocated
Compiler

Compiled 6 957 to 1 076 computations (84.5% saved)

prune50.0ms (1.7%)

Memory
-22.0MiB live, 92.3MiB allocated
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New4001401
Fresh000
Picked022
Done000
Total4003403
Accuracy
100.0%
Counts
403 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(fma.f64 re re (*.f64 im (neg.f64 im)))
93.8%
(-.f64 (*.f64 re re) (*.f64 im im))
51.9%
(*.f64 (+.f64 re im) (+.f64 re im))
Compiler

Compiled 27 to 14 computations (48.1% saved)

simplify11.0ms (0.4%)

Memory
11.0MiB live, 11.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 re im)
cost-diff0
(*.f64 (+.f64 re im) (+.f64 re im))
Rules
70×fma-define
25×associate-+r+
17×associate-+l+
10×distribute-rgt-in
*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0952
11652
23452
37252
411552
514552
616552
718252
818452
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 re im) (+.f64 re im))
(+.f64 re im)
re
im
Outputs
(*.f64 (+.f64 re im) (+.f64 re im))
(+.f64 re im)
re
im

localize13.0ms (0.4%)

Memory
17.8MiB live, 17.8MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 re im)
accuracy100.0%
(*.f64 (+.f64 re im) (+.f64 re im))
Samples
8.0ms256×0valid
Compiler

Compiled 14 to 6 computations (57.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-add: 1.0ms (32% of total)
ival-mult: 1.0ms (32% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.3%)

Memory
-33.6MiB live, 8.2MiB allocated
Counts
2 → 48
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 re im) (+.f64 re im))>
#<alt (+.f64 re im)>
Outputs
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 re (+.f64 re (*.f64 #s(literal 2 binary64) im))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 re (+.f64 re (*.f64 #s(literal 2 binary64) im))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 re (+.f64 re (*.f64 #s(literal 2 binary64) im))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 im re))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 im re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 im re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 im re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 im re))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) re))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) re))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) re))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 im (+.f64 im (*.f64 #s(literal 2 binary64) re))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 im (+.f64 im (*.f64 #s(literal 2 binary64) re))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 im (+.f64 im (*.f64 #s(literal 2 binary64) re))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 re im)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 re im)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 re im)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) re) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) re) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) re) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im))))>
#<alt (+.f64 im re)>
#<alt (+.f64 im re)>
#<alt (+.f64 im re)>
#<alt (+.f64 im re)>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 im re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 im re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 im re)))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (/.f64 im re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 im re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 im re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 im re)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 im re)) #s(literal 1 binary64))))>
#<alt (+.f64 im re)>
#<alt (+.f64 im re)>
#<alt (+.f64 im re)>
#<alt (+.f64 im re)>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 re im)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 re im)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 re im)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 re im)) #s(literal 1 binary64))))>
Calls

12 calls:

TimeVariablePointExpression
3.0ms
im
@inf
(+ re im)
1.0ms
re
@-inf
(* (+ re im) (+ re im))
1.0ms
im
@-inf
(+ re im)
1.0ms
re
@inf
(* (+ re im) (+ re im))
1.0ms
im
@inf
(* (+ re im) (+ re im))

rewrite89.0ms (3%)

Memory
34.4MiB live, 69.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
682×prod-diff
515×log1p-expm1-u
515×expm1-log1p-u
418×unpow-prod-down
405×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
110232
2147332
Stop Event
node limit
Counts
2 → 135
Calls
Call 1
Inputs
(*.f64 (+.f64 re im) (+.f64 re im))
(+.f64 re im)
Outputs
(+.f64 (*.f64 re (+.f64 re im)) (*.f64 im (+.f64 re im)))
(+.f64 (*.f64 im (+.f64 re im)) (*.f64 re (+.f64 re im)))
(+.f64 #s(literal 0 binary64) (pow.f64 (+.f64 re im) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 re (+.f64 re im)) #s(literal 1 binary64)) (*.f64 (*.f64 im (+.f64 re im)) #s(literal 1 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (pow.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 re im) #s(literal 2 binary64)))
(/.f64 (pow.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 im (-.f64 im re) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 (fma.f64 im (-.f64 im re) (pow.f64 re #s(literal 2 binary64))) (-.f64 re im)))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (-.f64 re im) (fma.f64 im (-.f64 im re) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 re (+.f64 re im)) #s(literal 3 binary64)) (pow.f64 (*.f64 im (+.f64 re im)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 re (+.f64 re im)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 im (+.f64 re im)) #s(literal 2 binary64)) (*.f64 (*.f64 re (+.f64 re im)) (*.f64 im (+.f64 re im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 re (+.f64 re im)) #s(literal 2 binary64)) (pow.f64 (*.f64 im (+.f64 re im)) #s(literal 2 binary64))) (-.f64 (*.f64 re (+.f64 re im)) (*.f64 im (+.f64 re im))))
(/.f64 (*.f64 (+.f64 re im) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))) (fma.f64 im (-.f64 im re) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 re im) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (-.f64 re im))
(/.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (+.f64 re im)) (fma.f64 im (-.f64 im re) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (+.f64 re im)) (-.f64 re im))
(pow.f64 (+.f64 re im) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 re im)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re im) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (+.f64 re im) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 re im) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 re im)) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 (+.f64 re im) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 re im))))
(exp.f64 (*.f64 (log.f64 (+.f64 re im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 re im))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 re im)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 re im)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 re im)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 re im))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (+.f64 re im)) (*.f64 (log.f64 (+.f64 re im)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 re im)) #s(literal 1 binary64)) (log.f64 (+.f64 re im))))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 re im)) #s(literal 1 binary64)) (*.f64 (log.f64 (+.f64 re im)) #s(literal 1 binary64))))
(fma.f64 re (+.f64 re im) (*.f64 im (+.f64 re im)))
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(fma.f64 (+.f64 re im) re (*.f64 im (+.f64 re im)))
(fma.f64 (+.f64 re im) im (*.f64 re (+.f64 re im)))
(fma.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re im)) (*.f64 im (+.f64 re im)))
(fma.f64 #s(literal 1 binary64) (*.f64 im (+.f64 re im)) (*.f64 re (+.f64 re im)))
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(fma.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (+.f64 re im)) re) (*.f64 im (+.f64 re im)))
(fma.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 (cbrt.f64 re) (+.f64 re im)) (*.f64 im (+.f64 re im)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) (+.f64 re im)) (*.f64 re (+.f64 re im)))
(fma.f64 (sqrt.f64 (+.f64 re im)) (*.f64 (sqrt.f64 (+.f64 re im)) im) (*.f64 re (+.f64 re im)))
(fma.f64 (sqrt.f64 (+.f64 re im)) (*.f64 (sqrt.f64 (+.f64 re im)) re) (*.f64 im (+.f64 re im)))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) (+.f64 re im)) (*.f64 im (+.f64 re im)))
(fma.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) (+.f64 re im)) (*.f64 re (+.f64 re im)))
(fma.f64 (*.f64 re (+.f64 re im)) #s(literal 1 binary64) (*.f64 (*.f64 im (+.f64 re im)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 re (+.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 re (+.f64 re im))) (*.f64 im (+.f64 re im)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 im (+.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 im (+.f64 re im))) (*.f64 re (+.f64 re im)))
(fma.f64 (sqrt.f64 (*.f64 re (+.f64 re im))) (sqrt.f64 (*.f64 re (+.f64 re im))) (*.f64 im (+.f64 re im)))
(fma.f64 (sqrt.f64 (*.f64 im (+.f64 re im))) (sqrt.f64 (*.f64 im (+.f64 re im))) (*.f64 re (+.f64 re im)))
(fma.f64 (*.f64 (+.f64 re im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im) (*.f64 re (+.f64 re im)))
(fma.f64 (*.f64 (+.f64 re im) (sqrt.f64 im)) (sqrt.f64 im) (*.f64 re (+.f64 re im)))
(fma.f64 (*.f64 re (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 re im)) (*.f64 im (+.f64 re im)))
(fma.f64 (*.f64 re (sqrt.f64 (+.f64 re im))) (sqrt.f64 (+.f64 re im)) (*.f64 im (+.f64 re im)))
(fma.f64 (*.f64 (+.f64 re im) (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 re) (*.f64 im (+.f64 re im)))
(fma.f64 (*.f64 (+.f64 re im) (sqrt.f64 re)) (sqrt.f64 re) (*.f64 im (+.f64 re im)))
(fma.f64 (*.f64 im (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 re im)) (*.f64 re (+.f64 re im)))
(fma.f64 (*.f64 im (sqrt.f64 (+.f64 re im))) (sqrt.f64 (+.f64 re im)) (*.f64 re (+.f64 re im)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 re im))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 re im)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 re im)))
(*.f64 (+.f64 re im) #s(literal 1 binary64))
(*.f64 (+.f64 re im) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (+.f64 re im) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 re im))
(*.f64 (cbrt.f64 (+.f64 re im)) (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (+.f64 re im)))
(*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 (+.f64 re im)))
(*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 im (-.f64 im re) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 re im)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 re im)) #s(literal 5 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 re im))) (pow.f64 (pow.f64 (+.f64 re im) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 re im))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (+.f64 re im))
(*.f64 (pow.f64 (pow.f64 (+.f64 re im) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (+.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 re im)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (+.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 re im))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 re im)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 re im))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 re im))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (+.f64 re im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im (-.f64 im re) (pow.f64 re #s(literal 2 binary64))) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re im) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 im (-.f64 im re) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 im im (-.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 re im))))
(/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (-.f64 re im))
(/.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (fma.f64 im (-.f64 im re) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (-.f64 re im)))
(/.f64 (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (-.f64 im re))
(pow.f64 (+.f64 re im) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (+.f64 re im)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 re im) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (+.f64 re im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 im (-.f64 im re) (pow.f64 re #s(literal 2 binary64))) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 re im) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)))
(fabs.f64 (+.f64 re im))
(log.f64 (exp.f64 (+.f64 re im)))
(cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 re im)))
(hypot.f64 (sqrt.f64 (*.f64 re (+.f64 re im))) (sqrt.f64 (*.f64 im (+.f64 re im))))
(hypot.f64 (sqrt.f64 (*.f64 im (+.f64 re im))) (sqrt.f64 (*.f64 re (+.f64 re im))))
(log1p.f64 (expm1.f64 (+.f64 re im)))
(exp.f64 (log.f64 (+.f64 re im)))
(exp.f64 (*.f64 (log.f64 (+.f64 re im)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 re im))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 re im))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 re im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 re im))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 re im)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 re im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 re im))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(fma.f64 re #s(literal 1 binary64) im)
(fma.f64 im #s(literal 1 binary64) re)
(fma.f64 #s(literal 1 binary64) re im)
(fma.f64 #s(literal 1 binary64) im re)
(fma.f64 (cbrt.f64 re) (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) im)
(fma.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) (cbrt.f64 re) im)
(fma.f64 (cbrt.f64 im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re)
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 im) re)
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) im)
(fma.f64 (sqrt.f64 im) (sqrt.f64 im) re)

simplify384.0ms (13.1%)

Memory
-22.2MiB live, 134.4MiB allocated
Algorithm
egg-herbie
Rules
499×div-sub
351×associate-/l*
318×exp-prod
265×associate-/r*
204×associate-+r+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03635885
18565733
225675557
366075537
Stop Event
node limit
Counts
183 → 208
Calls
Call 1
Inputs
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 re (+.f64 re (*.f64 #s(literal 2 binary64) im))) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 re (+.f64 re (*.f64 #s(literal 2 binary64) im))) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (*.f64 re (+.f64 re (*.f64 #s(literal 2 binary64) im))) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 im re))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 im re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 im re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 im re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 im re))))
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(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) re))))
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(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))
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(/.f64 (*.f64 (+.f64 re im) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (-.f64 re im))
(/.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (+.f64 re im)) (fma.f64 im (-.f64 im re) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (+.f64 re im)) (-.f64 re im))
(pow.f64 (+.f64 re im) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 re im)) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re im) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (+.f64 re im) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (+.f64 re im) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 re im)) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 (+.f64 re im) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 re im))))
(exp.f64 (*.f64 (log.f64 (+.f64 re im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 re im))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 (+.f64 re im)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 re im)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 re im)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 re im))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (+.f64 re im)) (*.f64 (log.f64 (+.f64 re im)) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 re im)) #s(literal 1 binary64)) (log.f64 (+.f64 re im))))
(exp.f64 (+.f64 (*.f64 (log.f64 (+.f64 re im)) #s(literal 1 binary64)) (*.f64 (log.f64 (+.f64 re im)) #s(literal 1 binary64))))
(fma.f64 re (+.f64 re im) (*.f64 im (+.f64 re im)))
(fma.f64 im (+.f64 re im) (*.f64 re (+.f64 re im)))
(fma.f64 (+.f64 re im) re (*.f64 im (+.f64 re im)))
(fma.f64 (+.f64 re im) im (*.f64 re (+.f64 re im)))
(fma.f64 #s(literal 1 binary64) (*.f64 re (+.f64 re im)) (*.f64 im (+.f64 re im)))
(fma.f64 #s(literal 1 binary64) (*.f64 im (+.f64 re im)) (*.f64 re (+.f64 re im)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (+.f64 re im)) im) (*.f64 re (+.f64 re im)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (+.f64 re im)) re) (*.f64 im (+.f64 re im)))
(fma.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) (*.f64 (cbrt.f64 re) (+.f64 re im)) (*.f64 im (+.f64 re im)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) (+.f64 re im)) (*.f64 re (+.f64 re im)))
(fma.f64 (sqrt.f64 (+.f64 re im)) (*.f64 (sqrt.f64 (+.f64 re im)) im) (*.f64 re (+.f64 re im)))
(fma.f64 (sqrt.f64 (+.f64 re im)) (*.f64 (sqrt.f64 (+.f64 re im)) re) (*.f64 im (+.f64 re im)))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) (+.f64 re im)) (*.f64 im (+.f64 re im)))
(fma.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) (+.f64 re im)) (*.f64 re (+.f64 re im)))
(fma.f64 (*.f64 re (+.f64 re im)) #s(literal 1 binary64) (*.f64 (*.f64 im (+.f64 re im)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 re (+.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 re (+.f64 re im))) (*.f64 im (+.f64 re im)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 im (+.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 im (+.f64 re im))) (*.f64 re (+.f64 re im)))
(fma.f64 (sqrt.f64 (*.f64 re (+.f64 re im))) (sqrt.f64 (*.f64 re (+.f64 re im))) (*.f64 im (+.f64 re im)))
(fma.f64 (sqrt.f64 (*.f64 im (+.f64 re im))) (sqrt.f64 (*.f64 im (+.f64 re im))) (*.f64 re (+.f64 re im)))
(fma.f64 (*.f64 (+.f64 re im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im) (*.f64 re (+.f64 re im)))
(fma.f64 (*.f64 (+.f64 re im) (sqrt.f64 im)) (sqrt.f64 im) (*.f64 re (+.f64 re im)))
(fma.f64 (*.f64 re (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 re im)) (*.f64 im (+.f64 re im)))
(fma.f64 (*.f64 re (sqrt.f64 (+.f64 re im))) (sqrt.f64 (+.f64 re im)) (*.f64 im (+.f64 re im)))
(fma.f64 (*.f64 (+.f64 re im) (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 re) (*.f64 im (+.f64 re im)))
(fma.f64 (*.f64 (+.f64 re im) (sqrt.f64 re)) (sqrt.f64 re) (*.f64 im (+.f64 re im)))
(fma.f64 (*.f64 im (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)))) (cbrt.f64 (+.f64 re im)) (*.f64 re (+.f64 re im)))
(fma.f64 (*.f64 im (sqrt.f64 (+.f64 re im))) (sqrt.f64 (+.f64 re im)) (*.f64 re (+.f64 re im)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 re im))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 re im)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 re im)))
(*.f64 (+.f64 re im) #s(literal 1 binary64))
(*.f64 (+.f64 re im) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 (+.f64 re im) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 re im))
(*.f64 (cbrt.f64 (+.f64 re im)) (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (+.f64 re im)))
(*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 (+.f64 re im)))
(*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 im (-.f64 im re) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 re im)))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 4 binary64)))) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 re im)) #s(literal 5 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 4 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 re im))) (pow.f64 (pow.f64 (+.f64 re im) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (+.f64 re im))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (+.f64 re im))
(*.f64 (pow.f64 (pow.f64 (+.f64 re im) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (+.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 re im)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (+.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 re im))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (+.f64 re im)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 re im))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 re im))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 4 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (+.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (+.f64 re im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (+.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 im (-.f64 im re) (pow.f64 re #s(literal 2 binary64))) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re im) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 im (-.f64 im re) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))) (fma.f64 im im (-.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 re im))))
(/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (-.f64 re im))
(/.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))) (neg.f64 (fma.f64 im (-.f64 im re) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 (-.f64 re im)))
(/.f64 (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (-.f64 im re))
(pow.f64 (+.f64 re im) #s(literal 1 binary64))
(pow.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (+.f64 re im)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64))) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (+.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 re im) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (+.f64 re im)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 im (-.f64 im re) (pow.f64 re #s(literal 2 binary64))) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 re im) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (+.f64 re im) #s(literal 2 binary64)))
(fabs.f64 (+.f64 re im))
(log.f64 (exp.f64 (+.f64 re im)))
(cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 re im)))
(hypot.f64 (sqrt.f64 (*.f64 re (+.f64 re im))) (sqrt.f64 (*.f64 im (+.f64 re im))))
(hypot.f64 (sqrt.f64 (*.f64 im (+.f64 re im))) (sqrt.f64 (*.f64 re (+.f64 re im))))
(log1p.f64 (expm1.f64 (+.f64 re im)))
(exp.f64 (log.f64 (+.f64 re im)))
(exp.f64 (*.f64 (log.f64 (+.f64 re im)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 re im))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (+.f64 re im))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (+.f64 re im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 re im))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 re im)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (+.f64 re im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 re im))) #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(fma.f64 re #s(literal 1 binary64) im)
(fma.f64 im #s(literal 1 binary64) re)
(fma.f64 #s(literal 1 binary64) re im)
(fma.f64 #s(literal 1 binary64) im re)
(fma.f64 (cbrt.f64 re) (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) im)
(fma.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) (cbrt.f64 re) im)
(fma.f64 (cbrt.f64 im) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re)
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 im) re)
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) im)
(fma.f64 (sqrt.f64 im) (sqrt.f64 im) re)
Outputs
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 im re) (pow.f64 im #s(literal 2 binary64)))
(*.f64 im (fma.f64 #s(literal 2 binary64) re im))
(+.f64 (*.f64 re (+.f64 re (*.f64 #s(literal 2 binary64) im))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 re (+.f64 re (*.f64 #s(literal 2 binary64) im)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im (fma.f64 #s(literal 2 binary64) re im) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (*.f64 re (+.f64 re (*.f64 #s(literal 2 binary64) im))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 re (+.f64 re (*.f64 #s(literal 2 binary64) im)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im (fma.f64 #s(literal 2 binary64) re im) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (*.f64 re (+.f64 re (*.f64 #s(literal 2 binary64) im))) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 re (+.f64 re (*.f64 #s(literal 2 binary64) im)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im (fma.f64 #s(literal 2 binary64) re im) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 im re))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 im re) #s(literal 1 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 im re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 im re) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 im re) (+.f64 #s(literal 2 binary64) (/.f64 im re)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 im re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 im re) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 im re) (+.f64 #s(literal 2 binary64) (/.f64 im re)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 im re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 im re) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 im re) (+.f64 #s(literal 2 binary64) (/.f64 im re)))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 im re))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 im re) #s(literal 1 binary64)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) re))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) im (neg.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) re))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 im #s(literal -2 binary64)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 im (-.f64 #s(literal -2 binary64) (/.f64 im re))) re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) re))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) im (neg.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) re))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 im #s(literal -2 binary64)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 im (-.f64 #s(literal -2 binary64) (/.f64 im re))) re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) im) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) re))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) im (neg.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) re))))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 im #s(literal -2 binary64)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) re)))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 im (-.f64 #s(literal -2 binary64) (/.f64 im re))) re)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 im re)) (pow.f64 re #s(literal 2 binary64)))
(*.f64 re (+.f64 re (*.f64 #s(literal 2 binary64) im)))
(*.f64 re (fma.f64 #s(literal 2 binary64) im re))
(+.f64 (*.f64 im (+.f64 im (*.f64 #s(literal 2 binary64) re))) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 re (+.f64 re (*.f64 #s(literal 2 binary64) im)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im (fma.f64 #s(literal 2 binary64) re im) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (*.f64 im (+.f64 im (*.f64 #s(literal 2 binary64) re))) (pow.f64 re #s(literal 2 binary64)))
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eval36.0ms (1.2%)

Memory
25.7MiB live, 62.6MiB allocated
Compiler

Compiled 4 217 to 710 computations (83.2% saved)

prune48.0ms (1.6%)

Memory
-2.3MiB live, 81.7MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2990299
Fresh000
Picked011
Done022
Total2993302
Accuracy
100.0%
Counts
302 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.0%
(fma.f64 re re (*.f64 im (neg.f64 im)))
93.8%
(-.f64 (*.f64 re re) (*.f64 im im))
51.9%
(*.f64 (+.f64 re im) (+.f64 re im))
Compiler

Compiled 50 to 24 computations (52% saved)

regimes12.0ms (0.4%)

Memory
-20.8MiB live, 17.6MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(*.f64 (+.f64 re im) (+.f64 re im))
(-.f64 (*.f64 re re) (*.f64 im im))
(fma.f64 re re (*.f64 im (neg.f64 im)))
Outputs
(fma.f64 re re (*.f64 im (neg.f64 im)))
Calls

5 calls:

5.0ms
im
2.0ms
re
2.0ms
(-.f64 (*.f64 re re) (*.f64 im im))
2.0ms
(*.f64 im im)
2.0ms
(*.f64 re re)
Results
AccuracySegmentsBranch
98.0%1re
98.0%1im
98.0%1(-.f64 (*.f64 re re) (*.f64 im im))
98.0%1(*.f64 re re)
98.0%1(*.f64 im im)
Compiler

Compiled 25 to 15 computations (40% saved)

regimes7.0ms (0.3%)

Memory
15.6MiB live, 15.6MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(*.f64 (+.f64 re im) (+.f64 re im))
(-.f64 (*.f64 re re) (*.f64 im im))
Outputs
(-.f64 (*.f64 re re) (*.f64 im im))
(*.f64 (+.f64 re im) (+.f64 re im))
Calls

5 calls:

2.0ms
re
1.0ms
im
1.0ms
(-.f64 (*.f64 re re) (*.f64 im im))
1.0ms
(*.f64 re re)
1.0ms
(*.f64 im im)
Results
AccuracySegmentsBranch
95.7%2re
93.8%1im
95.7%2(-.f64 (*.f64 re re) (*.f64 im im))
95.7%2(*.f64 re re)
93.8%1(*.f64 im im)
Compiler

Compiled 25 to 15 computations (40% saved)

regimes3.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
im
1.0ms
re
Results
AccuracySegmentsBranch
51.9%1im
51.9%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.1813270897010562e+308
+inf
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify4.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
egg-herbie
Rules
+-commutative
sub-neg
*-commutative
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023145
133145
238145
341145
442145
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 re re (*.f64 im (neg.f64 im)))
(if (<=.f64 (*.f64 re re) #s(literal +inf.0 binary64)) (-.f64 (*.f64 re re) (*.f64 im im)) (*.f64 (+.f64 re im) (+.f64 re im)))
(*.f64 (+.f64 re im) (+.f64 re im))
Outputs
(fma.f64 re re (*.f64 im (neg.f64 im)))
(if (<=.f64 (*.f64 re re) #s(literal +inf.0 binary64)) (-.f64 (*.f64 re re) (*.f64 im im)) (*.f64 (+.f64 re im) (+.f64 re im)))
(*.f64 (+.f64 re im) (+.f64 re im))

soundness524.0ms (18%)

Memory
-25.5MiB live, 131.8MiB allocated
Rules
890×fma-define
605×prod-diff
593×sub-neg
575×fmm-def
564×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020229
166217
2174217
3440217
41065217
52042217
63004217
73846217
85624217
96223217
106336217
116450217
126530217
136530217
147911217
01588
119072
2227772
Stop Event
done
node limit
node limit
Compiler

Compiled 146 to 51 computations (65.1% saved)

preprocess26.0ms (0.9%)

Memory
21.3MiB live, 60.1MiB allocated
Remove

(abs im)

(abs re)

Compiler

Compiled 162 to 76 computations (53.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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