math.abs on complex (squared)

Time bar (total: 2.3s)

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample496.0ms (21.7%)

Memory
18.9MiB live, 966.5MiB allocated
Samples
327.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 174.0ms
ival-mult: 124.0ms (71.2% of total)
ival-add: 41.0ms (23.5% of total)
ival-true: 6.0ms (3.4% of total)
ival-assert: 3.0ms (1.7% of total)
Bogosity

preprocess49.0ms (2.2%)

Memory
4.6MiB live, 101.5MiB allocated
Algorithm
egg-herbie
Rules
68×fmm-def
31×fma-define
18×distribute-lft-neg-in
13×neg-sub0
13×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020197
147197
2100197
3226197
4312197
5339197
Stop Event
saturated
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 im))
(+.f64 (*.f64 re re) (*.f64 im im))
(fma.f64 re re (*.f64 im im))
(+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))
(fma.f64 re re (*.f64 im im))
(+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))
(fma.f64 re re (*.f64 im im))
(neg.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im)))
(neg.f64 (fma.f64 re re (*.f64 im im)))
(neg.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im))))
(neg.f64 (fma.f64 re re (*.f64 im im)))
(+.f64 (*.f64 im im) (*.f64 re re))
(fma.f64 re re (*.f64 im im))
Symmetry

(abs re)

(abs im)

(sort re im)

explain60.0ms (2.6%)

Memory
-22.1MiB live, 136.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-(*.f64 re re)
00-0-re
00-0-(*.f64 im im)
00-0-im
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
23.0ms512×0valid
Compiler

Compiled 52 to 24 computations (53.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (74.7% of total)
ival-add: 2.0ms (18.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 8 to 4 computations (50% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (*.f64 re re) (*.f64 im im))
Compiler

Compiled 9 to 5 computations (44.4% saved)

simplify6.0ms (0.3%)

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

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(+.f64 (*.f64 re re) (*.f64 im im))
cost-diff0
(*.f64 im im)
cost-diff0
(*.f64 re re)
Rules
fma-define
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01061
11361
21461
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 re re) (*.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im
Outputs
(+.f64 (*.f64 re re) (*.f64 im im))
(fma.f64 re re (*.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im

localize18.0ms (0.8%)

Memory
3.0MiB live, 41.9MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 re re)
accuracy100.0%
(*.f64 im im)
accuracy100.0%
(+.f64 (*.f64 re re) (*.f64 im im))
Samples
12.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 5.0ms (80.7% of total)
ival-add: 1.0ms (16.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.2%)

Memory
9.7MiB live, 9.8MiB allocated
Counts
3 → 48
Calls
Call 1
Inputs
#<alt (*.f64 re re)>
#<alt (*.f64 im im)>
#<alt (+.f64 (*.f64 re re) (*.f64 im im))>
Outputs
#<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 (pow.f64 im #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
Calls

12 calls:

TimeVariablePointExpression
0.0ms
re
@0
(+ (* re re) (* im im))
0.0ms
re
@0
(* re re)
0.0ms
re
@inf
(* re re)
0.0ms
im
@0
(+ (* re re) (* im im))
0.0ms
im
@inf
(* im im)

rewrite356.0ms (15.6%)

Memory
-27.4MiB live, 374.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
573×prod-diff
502×log1p-expm1-u
502×expm1-log1p-u
435×pow1
425×unpow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01044
111739
2147639
Stop Event
node limit
Counts
3 → 116
Calls
Call 1
Inputs
(*.f64 re re)
(*.f64 im im)
(+.f64 (*.f64 re re) (*.f64 im im))
Outputs
(+.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 re) #s(literal 6 binary64))
(pow.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 re) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 re #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 re #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 re))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 re)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 re) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (+.f64 (log.f64 re) (*.f64 (log.f64 re) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 re) #s(literal 1 binary64)) (log.f64 re)))
(exp.f64 (+.f64 (*.f64 (log.f64 re) #s(literal 1 binary64)) (*.f64 (log.f64 re) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 6 binary64))
(pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 im)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (+.f64 (log.f64 im) (*.f64 (log.f64 im) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)) (log.f64 im)))
(exp.f64 (+.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)) (*.f64 (log.f64 im) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(*.f64 (hypot.f64 re im) (hypot.f64 re im))
(*.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 re im)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (*.f64 re im) #s(literal 2 binary64))) (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (*.f64 re im) #s(literal 2 binary64))) (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 im) (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 re) (pow.f64 re #s(literal 3/2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 im) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 3/2 binary64)) (sqrt.f64 re) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 5 binary64)) (cbrt.f64 im) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)) (cbrt.f64 re) (pow.f64 im #s(literal 2 binary64)))

simplify88.0ms (3.8%)

Memory
5.3MiB live, 122.0MiB allocated
Algorithm
egg-herbie
Rules
424×fmm-def
388×cancel-sign-sub-inv
312×distribute-lft-in
302×distribute-rgt-in
279×exp-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02733647
15343366
211613366
333893366
Stop Event
node limit
Counts
164 → 126
Calls
Call 1
Inputs
(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))
(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 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #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 (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)))))
(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 (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)))))
(pow.f64 re #s(literal 2 binary64))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 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)) (+.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)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(pow.f64 im #s(literal 2 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)) (+.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)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(+.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 re) #s(literal 6 binary64))
(pow.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 re) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 re #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 re #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 re))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 re)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 re) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (+.f64 (log.f64 re) (*.f64 (log.f64 re) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 re) #s(literal 1 binary64)) (log.f64 re)))
(exp.f64 (+.f64 (*.f64 (log.f64 re) #s(literal 1 binary64)) (*.f64 (log.f64 re) #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 6 binary64))
(pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 im #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 im)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(exp.f64 (+.f64 (log.f64 im) (*.f64 (log.f64 im) #s(literal 1 binary64))))
(exp.f64 (+.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)) (log.f64 im)))
(exp.f64 (+.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)) (*.f64 (log.f64 im) #s(literal 1 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(*.f64 (hypot.f64 re im) (hypot.f64 re im))
(*.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 re im)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (*.f64 re im) #s(literal 2 binary64))) (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
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(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
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(pow.f64 (/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) #s(literal -1 binary64))
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(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
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(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)) #s(literal 1 binary64)))
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(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 im) (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 re) (pow.f64 re #s(literal 3/2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 im) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 3/2 binary64)) (sqrt.f64 re) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 5 binary64)) (cbrt.f64 im) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)) (cbrt.f64 re) (pow.f64 im #s(literal 2 binary64)))
Outputs
(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))
(pow.f64 im #s(literal 2 binary64))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re 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)))))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #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)))))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #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)))))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re 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)))))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #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)))))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #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)))))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(pow.f64 im #s(literal 2 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)))))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 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)))))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 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)))))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(pow.f64 im #s(literal 2 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)))))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 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)))))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 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)))))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 (cbrt.f64 re) #s(literal 6 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 (pow.f64 re #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 re #s(literal 4 binary64)))
(pow.f64 (pow.f64 re #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 re #s(literal 2 binary64))
(pow.f64 (sqrt.f64 re) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 re #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))
(pow.f64 re #s(literal 2 binary64))
(cbrt.f64 (pow.f64 re #s(literal 6 binary64)))
(pow.f64 re #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal 2 binary64))))
(pow.f64 re #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal 2 binary64))))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 1 binary64)))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 re))) #s(literal 3 binary64)))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 re)) #s(literal 1/3 binary64)))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 re) #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (+.f64 (log.f64 re) (*.f64 (log.f64 re) #s(literal 1 binary64))))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (+.f64 (*.f64 (log.f64 re) #s(literal 1 binary64)) (log.f64 re)))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (+.f64 (*.f64 (log.f64 re) #s(literal 1 binary64)) (*.f64 (log.f64 re) #s(literal 1 binary64))))
(pow.f64 re #s(literal 2 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 (cbrt.f64 im) #s(literal 6 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(pow.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 im #s(literal 2 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 4 binary64))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 2 binary64))
(cbrt.f64 (pow.f64 im #s(literal 6 binary64)))
(pow.f64 im #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 im))) #s(literal 3 binary64)))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 6 binary64) (log.f64 im)) #s(literal 1/3 binary64)))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)) #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64)))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (+.f64 (log.f64 im) (*.f64 (log.f64 im) #s(literal 1 binary64))))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (+.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)) (log.f64 im)))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (+.f64 (*.f64 (log.f64 im) #s(literal 1 binary64)) (*.f64 (log.f64 im) #s(literal 1 binary64))))
(pow.f64 im #s(literal 2 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (log.f64 (exp.f64 #s(literal 1 binary64))))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64))))
(*.f64 (hypot.f64 re im) (hypot.f64 re im))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(*.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64))))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (hypot.f64 re im)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (*.f64 re im) #s(literal 2 binary64))) (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))))
(*.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))
(*.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 3 binary64))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (/.f64 (-.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (pow.f64 (*.f64 re im) #s(literal 2 binary64))) (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) #s(literal -1 binary64))
(*.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(pow.f64 (/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(fma.f64 (sqrt.f64 im) (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 re) (pow.f64 re #s(literal 3/2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 im) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 im) (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 3/2 binary64)) (sqrt.f64 re) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 re) (pow.f64 re #s(literal 3/2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 5 binary64)) (cbrt.f64 im) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)) (cbrt.f64 re) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))

eval19.0ms (0.8%)

Memory
10.0MiB live, 52.1MiB allocated
Compiler

Compiled 1 451 to 342 computations (76.4% saved)

prune27.0ms (1.2%)

Memory
15.3MiB live, 54.3MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1242126
Fresh000
Picked011
Done000
Total1243127
Accuracy
100.0%
Counts
127 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
100.0%
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
100.0%
(+.f64 (*.f64 re re) (*.f64 im im))
Compiler

Compiled 24 to 15 computations (37.5% saved)

simplify8.0ms (0.3%)

Memory
-24.6MiB live, 15.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 re #s(literal 2 binary64))
cost-diff64
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
cost-diff0
(hypot.f64 re im)
cost-diff0
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
Rules
unpow2
fma-undefine
hypot-define
rem-square-sqrt
hypot-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01379
12179
22279
32479
Stop Event
saturated
Calls
Call 1
Inputs
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(hypot.f64 re im)
re
im
#s(literal 2 binary64)
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
im
(pow.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)
Outputs
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(hypot.f64 re im)
re
im
#s(literal 2 binary64)
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
im
(pow.f64 re #s(literal 2 binary64))
re
#s(literal 2 binary64)

localize35.0ms (1.5%)

Memory
-4.5MiB live, 76.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
accuracy100.0%
(pow.f64 re #s(literal 2 binary64))
accuracy100.0%
(hypot.f64 re im)
accuracy100.0%
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
Samples
26.0ms256×0valid
Compiler

Compiled 25 to 10 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 7.0ms (41.3% of total)
ival-hypot: 5.0ms (29.5% of total)
ival-pow2: 4.0ms (23.6% of total)
ival-add: 1.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:104:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.3%)

Memory
20.4MiB live, 20.4MiB allocated
Counts
4 → 72
Calls
Call 1
Inputs
#<alt (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))>
#<alt (hypot.f64 re im)>
#<alt (fma.f64 im im (pow.f64 re #s(literal 2 binary64)))>
#<alt (pow.f64 re #s(literal 2 binary64))>
Outputs
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt im>
#<alt (+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))>
#<alt (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt re>
#<alt (+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt im>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
re
@0
(sqrt (+ (* re re) (* im im)))
1.0ms
re
@inf
(sqrt (+ (* re re) (* im im)))
0.0ms
im
@inf
(sqrt (+ (* re re) (* im im)))
0.0ms
im
@0
(sqrt (+ (* re re) (* im im)))
0.0ms
im
@-inf
(sqrt (+ (* re re) (* im im)))

rewrite85.0ms (3.7%)

Memory
-4.1MiB live, 72.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
382×log1p-expm1-u
382×expm1-log1p-u
363×add-exp-log
350×add-log-exp
347×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01361
113261
2141761
Stop Event
node limit
Counts
4 → 173
Calls
Call 1
Inputs
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(hypot.f64 re im)
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
Outputs
(+.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (hypot.f64 re im) (hypot.f64 re im))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (sqrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 5 binary64)) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 5 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 5 binary64))) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(fma.f64 re re (pow.f64 im #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 im) (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 re) (pow.f64 re #s(literal 3/2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 im #s(literal 3/2 binary64)) (sqrt.f64 im) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 re #s(literal 3/2 binary64)) (sqrt.f64 re) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)) (cbrt.f64 re) (pow.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 5 binary64)) (cbrt.f64 im) (pow.f64 re #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (hypot.f64 re im))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))))
(-.f64 (+.f64 #s(literal 1 binary64) (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 (hypot.f64 re im) #s(literal 1 binary64))
(*.f64 (hypot.f64 re im) (log.f64 (E.f64)))
(*.f64 (hypot.f64 re im) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (hypot.f64 re im))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 4 binary64))) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 5 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 5 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 8 binary64)))) (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (hypot.f64 re im))) (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (hypot.f64 re im))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 re im))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (hypot.f64 re im))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 8 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 5/2 binary64))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(pow.f64 (E.f64) (log.f64 (hypot.f64 re im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(fabs.f64 (hypot.f64 re im))
(log.f64 (exp.f64 (hypot.f64 re im)))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(exp.f64 (log.f64 (hypot.f64 re im)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (hypot.f64 re im))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (hypot.f64 re im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (hypot.f64 re im))) #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)) (pow.f64 re #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 (hypot.f64 re im) (hypot.f64 re im))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (sqrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 5 binary64)) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 5 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 5 binary64))) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 6 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 4 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (hypot.f64 re im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 re re)
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 re) (pow.f64 re #s(literal 3/2 binary64)))
(*.f64 (pow.f64 re #s(literal 3/2 binary64)) (sqrt.f64 re))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)) (cbrt.f64 re))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 re))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 re #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 re #s(literal 6 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal 5 binary64))) (cbrt.f64 re))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 re #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 re #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 re))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal 6 binary64))) #s(literal 1/3 binary64)))

simplify226.0ms (9.9%)

Memory
8.3MiB live, 249.6MiB allocated
Algorithm
egg-herbie
Rules
930×fma-define
497×distribute-lft-in
477×distribute-rgt-in
298×times-frac
285×prod-exp
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04008058
17817690
221237598
369347598
Stop Event
node limit
Counts
245 → 262
Calls
Call 1
Inputs
(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 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #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 (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)))))
(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 (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)))))
(pow.f64 re #s(literal 2 binary64))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 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)) (+.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)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(pow.f64 im #s(literal 2 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)) (+.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)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
im
(+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) re)
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
re
(+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
im
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
(pow.f64 re #s(literal 2 binary64))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 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)) (+.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)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(pow.f64 im #s(literal 2 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)) (+.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)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(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 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
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(*.f64 (sqrt.f64 re) (pow.f64 re #s(literal 3/2 binary64)))
(*.f64 (pow.f64 re #s(literal 3/2 binary64)) (sqrt.f64 re))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)) (cbrt.f64 re))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 re))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 re #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 re #s(literal 6 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal 5 binary64))) (cbrt.f64 re))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 re #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 re #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 re))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal 6 binary64))) #s(literal 1/3 binary64)))
Outputs
(pow.f64 im #s(literal 2 binary64))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #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)) (fma.f64 im (/.f64 im (pow.f64 re #s(literal 2 binary64))) #s(literal 1 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)) (fma.f64 im (/.f64 im (pow.f64 re #s(literal 2 binary64))) #s(literal 1 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)) (fma.f64 im (/.f64 im (pow.f64 re #s(literal 2 binary64))) #s(literal 1 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)) (fma.f64 im (/.f64 im (pow.f64 re #s(literal 2 binary64))) #s(literal 1 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)) (fma.f64 im (/.f64 im (pow.f64 re #s(literal 2 binary64))) #s(literal 1 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)) (fma.f64 im (/.f64 im (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))
(pow.f64 re #s(literal 2 binary64))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(pow.f64 im #s(literal 2 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 #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 #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 im #s(literal 2 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 #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 #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)))
im
(+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im) im)
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) im) im)
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im)) im)
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) im))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) im)) im)
(fma.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 re #s(literal 4 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) im) im))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) im)) im)
re
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 re (fma.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(*.f64 re (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))))))
(*.f64 re (fma.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1 binary64))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))))))))
(fma.f64 re (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))) re)
(fma.f64 re (fma.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))))) re)
(*.f64 #s(literal -1 binary64) re)
(neg.f64 re)
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 (neg.f64 re) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1 binary64)) (neg.f64 re))
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 re))
(*.f64 re (neg.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 (neg.f64 re) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 re (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))))))))
(*.f64 re (neg.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1 binary64)))))
(*.f64 (fma.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 re))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
(*.f64 (neg.f64 re) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))))))
(*.f64 re (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))))))))
(neg.f64 (fma.f64 re (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64))))) re))
(neg.f64 (fma.f64 re (fma.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))))) re))
re
(+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re) re)
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) re) re)
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) re))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) re)) re)
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(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(*.f64 (hypot.f64 re im) (hypot.f64 re im))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (log.f64 (E.f64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 4 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 im re)) (pow.f64 (hypot.f64 im re) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (sqrt.f64 (hypot.f64 re im)))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (hypot.f64 im re)) (pow.f64 (hypot.f64 im re) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 5 binary64)) (cbrt.f64 (hypot.f64 re im)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
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(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 6 binary64)))))
(*.f64 (pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 5 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 re im)))
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(*.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 5 binary64))))
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(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 im re))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 6 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 5 binary64))) (cbrt.f64 (hypot.f64 re im)))
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(*.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 5 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 8 binary64))) #s(literal 2 binary64))) (pow.f64 (cbrt.f64 (cbrt.f64 (hypot.f64 im re))) #s(literal 2 binary64)))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (-.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (-.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 3 binary64))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 6 binary64))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))
(cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 6 binary64)))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64)))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 4 binary64))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 im re))))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (hypot.f64 re im)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 im re)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 im re)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 im re))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 im re)))))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 4 binary64)))
(sqrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))
(cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))
(cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 6 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 re #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(*.f64 re re)
(pow.f64 re #s(literal 2 binary64))
(*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 re #s(literal 2 binary64))
(*.f64 (pow.f64 re #s(literal 2 binary64)) (log.f64 (E.f64)))
(pow.f64 re #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)))
(pow.f64 re #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
(*.f64 (sqrt.f64 re) (pow.f64 re #s(literal 3/2 binary64)))
(*.f64 (pow.f64 re #s(literal 3/2 binary64)) (sqrt.f64 re))
(*.f64 (sqrt.f64 re) (pow.f64 re #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 5 binary64)) (cbrt.f64 re))
(pow.f64 re #s(literal 2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 re #s(literal 2 binary64)))
(pow.f64 re #s(literal 2 binary64))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) #s(literal 3 binary64)))
(pow.f64 re #s(literal 2 binary64))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 6 binary64))) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 (pow.f64 re #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 re #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 re #s(literal 6 binary64)))))
(*.f64 (pow.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 re))
(*.f64 (cbrt.f64 re) (cbrt.f64 (pow.f64 re #s(literal 5 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64))) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 re #s(literal 6 binary64)))) (cbrt.f64 (sqrt.f64 (pow.f64 re #s(literal 6 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal 5 binary64))) (cbrt.f64 re))
(*.f64 (cbrt.f64 re) (cbrt.f64 (pow.f64 re #s(literal 5 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal 8 binary64))) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 re #s(literal 4 binary64)))
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(pow.f64 re #s(literal 2 binary64))
(cbrt.f64 (pow.f64 re #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal 2 binary64))))
(pow.f64 re #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal 2 binary64))))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 re)))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 re))) #s(literal 3 binary64)))
(pow.f64 re #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 re #s(literal 6 binary64)))

eval39.0ms (1.7%)

Memory
-17.4MiB live, 55.4MiB allocated
Compiler

Compiled 3 845 to 807 computations (79% saved)

prune60.0ms (2.6%)

Memory
18.0MiB live, 54.8MiB allocated
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2611262
Fresh000
Picked202
Done011
Total2632265
Accuracy
100.0%
Counts
265 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 im im (*.f64 re re))
100.0%
(+.f64 (*.f64 re re) (*.f64 im im))
Compiler

Compiled 17 to 9 computations (47.1% saved)

simplify6.0ms (0.3%)

Memory
8.0MiB live, 8.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 re re)
cost-diff0
(fma.f64 im im (*.f64 re re))
Rules
fma-undefine
fma-define
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01048
11248
21348
31448
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 im im (*.f64 re re))
im
(*.f64 re re)
re
Outputs
(fma.f64 im im (*.f64 re re))
im
(*.f64 re re)
re

localize21.0ms (0.9%)

Memory
-20.1MiB live, 24.5MiB allocated
Localize:

Found 2 expressions of interest:

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

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (80% of total)
ival-add: 1.0ms (20% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0.1%)

Memory
2.0MiB live, 2.0MiB allocated
Counts
1 → 24
Calls
Call 1
Inputs
#<alt (fma.f64 im im (*.f64 re re))>
Outputs
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (pow.f64 re #s(literal 2 binary64))>
#<alt (*.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)))))>
#<alt (*.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)))))>
#<alt (*.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)))))>
Calls

6 calls:

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

rewrite69.0ms (3%)

Memory
2.1MiB live, 38.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
308×log1p-expm1-u
308×expm1-log1p-u
295×add-exp-log
283×add-log-exp
280×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01024
18619
289919
Stop Event
node limit
Counts
1 → 45
Calls
Call 1
Inputs
(fma.f64 im im (*.f64 re re))
Outputs
(+.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))
(*.f64 (hypot.f64 im re) (hypot.f64 im re))
(*.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 im re)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64))))) (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (hypot.f64 im re)))
(*.f64 (sqrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64))) (sqrt.f64 (hypot.f64 im re)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) #s(literal 5 binary64))) (cbrt.f64 (hypot.f64 im re)))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(pow.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 im re) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 im re))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 im re)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 im re)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 im re))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 im re)))))
(sqrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64)))
(fabs.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 im re))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 im re) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)))

simplify98.0ms (4.3%)

Memory
5.5MiB live, 79.8MiB allocated
Algorithm
egg-herbie
Rules
603×sub-neg
471×div-sub
293×prod-exp
268×fma-define
214×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01412371
12712119
27002099
327872099
461362099
Stop Event
node limit
Counts
69 → 69
Calls
Call 1
Inputs
(pow.f64 re #s(literal 2 binary64))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 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)) (+.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)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(pow.f64 im #s(literal 2 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)) (+.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)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(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 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #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 (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)))))
(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 (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)) (pow.f64 im #s(literal 2 binary64)))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))))
(-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (/.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64))) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))
(*.f64 (hypot.f64 im re) (hypot.f64 im re))
(*.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (hypot.f64 im re)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64))))) (cbrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) #s(literal 5/2 binary64))) (cbrt.f64 (hypot.f64 im re)))
(*.f64 (sqrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64))) (sqrt.f64 (hypot.f64 im re)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) #s(literal 5 binary64))) (cbrt.f64 (hypot.f64 im re)))
(/.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) #s(literal 1 binary64)))))
(pow.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (hypot.f64 im re) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 im re) #s(literal 2 binary64))
(pow.f64 (E.f64) (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 im re))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 im re)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 im re)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 im re))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 im re)))))
(sqrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64)))
(fabs.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 im re))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 im re) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)))
Outputs
(pow.f64 re #s(literal 2 binary64))
(+.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))
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(pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im))))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 re im)))))
(sqrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 4 binary64)))
(+.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(fabs.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))
(+.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))
(+.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 6 binary64)))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))
(+.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))
(+.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (hypot.f64 im re))))
(+.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(+.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 im re) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 6 binary64)))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 im re)) #s(literal 2 binary64)))
(+.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))

eval22.0ms (1%)

Memory
5.7MiB live, 52.6MiB allocated
Compiler

Compiled 1 215 to 298 computations (75.5% saved)

prune13.0ms (0.6%)

Memory
5.6MiB live, 44.6MiB allocated
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh000
Picked011
Done011
Total992101
Accuracy
100.0%
Counts
101 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 im im (*.f64 re re))
100.0%
(+.f64 (*.f64 re re) (*.f64 im im))
Compiler

Compiled 43 to 20 computations (53.5% saved)

regimes78.0ms (3.4%)

Memory
-11.9MiB live, 27.4MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
(+.f64 (*.f64 re re) (*.f64 im im))
(fma.f64 im im (*.f64 re re))
(pow.f64 (hypot.f64 re im) #s(literal 2 binary64))
(fma.f64 im im (pow.f64 re #s(literal 2 binary64)))
Outputs
(fma.f64 im im (*.f64 re re))
Calls

5 calls:

70.0ms
(*.f64 re re)
2.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
2.0ms
(*.f64 im im)
2.0ms
im
2.0ms
re
Results
AccuracySegmentsBranch
100.0%1re
100.0%1im
100.0%1(+.f64 (*.f64 re re) (*.f64 im im))
100.0%1(*.f64 re re)
100.0%1(*.f64 im im)
Compiler

Compiled 25 to 15 computations (40% saved)

regimes7.0ms (0.3%)

Memory
-13.4MiB live, 26.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

5 calls:

2.0ms
re
1.0ms
im
1.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
1.0ms
(*.f64 im im)
1.0ms
(*.f64 re re)
Results
AccuracySegmentsBranch
100.0%1re
100.0%1im
100.0%1(+.f64 (*.f64 re re) (*.f64 im im))
100.0%1(*.f64 re re)
100.0%1(*.f64 im im)
Compiler

Compiled 25 to 15 computations (40% saved)

simplify2.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated
Algorithm
egg-herbie
Rules
+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01258
11358
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 im im (*.f64 re re))
(+.f64 (*.f64 re re) (*.f64 im im))
Outputs
(fma.f64 im im (*.f64 re re))
(+.f64 (*.f64 re re) (*.f64 im im))

soundness276.0ms (12.1%)

Memory
-3.4MiB live, 153.3MiB allocated
Rules
573×prod-diff
502×log1p-expm1-u
502×expm1-log1p-u
435×pow1
425×unpow-prod-down
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01361
113261
2141761
01044
111739
2147639
Stop Event
done
node limit
node limit
Compiler

Compiled 57 to 23 computations (59.6% saved)

preprocess111.0ms (4.9%)

Memory
-2.7MiB live, 82.2MiB allocated
Compiler

Compiled 144 to 70 computations (51.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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