math.sqrt on complex, imaginary part, im greater than 0 branch

Time bar (total: 9.2s)

analyze95.0ms (1%)

Memory
2.9MiB live, 192.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
50%25%25%50%0%0%0%3
62.5%31.2%18.7%50%0%0%0%4
62.5%31.2%18.7%50%0%0%0%5
68.8%34.3%15.6%50%0%0%0%6
68.8%34.3%15.6%50%0%0%0%7
71.9%35.9%14%50%0%0%0%8
71.9%35.9%14%50%0%0%0%9
73.4%36.7%13.3%50%0%0%0%10
73.4%36.7%13.3%50%0%0%0%11
74.2%37.1%12.9%50%0%0%0%12
Compiler

Compiled 19 to 12 computations (36.8% saved)

sample1.8s (19.3%)

Memory
10.2MiB live, 1 908.9MiB allocated
Samples
779.0ms6 234×0valid
257.0ms798×2valid
141.0ms757×1valid
125.0ms467×3valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 469.0ms (43.3% of total)
ival-hypot: 358.0ms (33% of total)
ival-sqrt: 88.0ms (8.1% of total)
ival-sub: 87.0ms (8% of total)
adjust: 42.0ms (3.9% of total)
ival->: 24.0ms (2.2% of total)
exact: 12.0ms (1.1% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess91.0ms (1%)

Memory
-3.2MiB live, 117.3MiB allocated
Algorithm
1×egg-herbie
Rules
334×fma-define
301×fmm-def
68×distribute-rgt-in
55×distribute-lft-neg-in
55×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042274
194266
2180266
3341266
4561266
5722266
6916266
71223266
81450266
91477266
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re))))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) im))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) (neg.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re))))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) (neg.f64 re)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal -1/2 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re)))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) im))))
Symmetry

(abs im)

explain245.0ms (2.7%)

Memory
12.8MiB live, 368.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1390-2(-8.019591712964202e-267 1.156158905915721e-155)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
260-0-(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
230-1(4.667499024060696e-254 6.851822326496465e-283)(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
00-0-(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
00-0-(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
00-0-(*.f64 re re)
00-0-im
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-#s(literal 2 binary64)
00-0-re
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 im im)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))oflow-rescue1180
↳(+.f64 (*.f64 re re) (*.f64 im im))overflow118
↳(*.f64 re re)overflow74
↳(*.f64 im im)overflow65
-.f64(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)cancellation260
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))uflow-rescue210
↳(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))underflow32
↳(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))underflow11
↳(*.f64 re re)underflow66
↳(*.f64 im im)underflow69
↳(+.f64 (*.f64 re re) (*.f64 im im))underflow19
↳(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)underflow32
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))uflow-rescue190
↳(+.f64 (*.f64 re re) (*.f64 im im))underflow19
↳(*.f64 re re)underflow66
↳(*.f64 im im)underflow69
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))oflow-rescue10
↳(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))overflow1
↳(+.f64 (*.f64 re re) (*.f64 im im))overflow118
↳(*.f64 re re)overflow74
↳(*.f64 im im)overflow65
Confusion
Predicted +Predicted -
+1652
-089
Precision
1.0
Recall
0.9880239520958084
Confusion?
Predicted +Predicted MaybePredicted -
+16502
-0089
Precision?
1.0
Recall?
0.9880239520958084
Freqs
test
numberfreq
091
1145
220
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
105.0ms396×0valid
19.0ms50×2valid
11.0ms28×3valid
8.0ms38×1valid
Compiler

Compiled 188 to 52 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-mult: 84.0ms (69.3% of total)
ival-hypot: 14.0ms (11.5% of total)
ival-sub: 10.0ms (8.2% of total)
ival-sqrt: 5.0ms (4.1% of total)
adjust: 4.0ms (3.3% of total)
ival-add: 3.0ms (2.5% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
1.2MiB live, 1.1MiB allocated
Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶82.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
▶38.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify60.0ms (0.7%)

Memory
8.1MiB live, 46.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (hypot.f64 re im) re)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
✓cost-diff320
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
✓cost-diff320
(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
✓cost-diff320
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
✓cost-diff320
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
Rules
201×fma-define
141×fmm-def
39×distribute-rgt-in
38×distribute-lft-in
31×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023339
132339
245339
367339
494339
5123339
6194339
7298339
8421339
9500339
10616339
11688339
12710339
13748339
14797339
15854339
16889339
17899339
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
#s(literal 2 binary64)
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.f64 (*.f64 re re) (*.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
#s(literal 2 binary64)
(-.f64 (hypot.f64 re im) re)
(hypot.f64 re im)
re
im
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
#s(literal 2 binary64)
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
(-.f64 (hypot.f64 re im) re)
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(hypot.f64 re im)
(+.f64 (*.f64 re re) (*.f64 im im))
(fma.f64 re re (*.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
#s(literal 2 binary64)
(-.f64 (hypot.f64 re im) re)
(hypot.f64 re im)
re
im

localize64.0ms (0.7%)

Memory
-4.8MiB live, 150.8MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
✓accuracy91.9%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
✓accuracy90.4%
(-.f64 (hypot.f64 re im) re)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
✓accuracy91.9%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
✓accuracy90.4%
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
✓accuracy50.1%
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Samples
24.0ms198×0valid
10.0ms25×2valid
5.0ms14×3valid
4.0ms19×1valid
Compiler

Compiled 114 to 14 computations (87.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 8.0ms (33% of total)
ival-hypot: 7.0ms (28.8% of total)
ival-sqrt: 3.0ms (12.4% of total)
ival-add: 3.0ms (12.4% of total)
ival-sub: 2.0ms (8.2% of total)
adjust: 1.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series49.0ms (0.5%)

Memory
5.6MiB live, 121.6MiB allocated
Counts
9 → 216
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))>
#<alt (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))>
#<alt (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))>
#<alt (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))>
#<alt (-.f64 (hypot.f64 re im) re)>
#<alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))>
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#<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)))))))))>
Calls

54 calls:

TimeVariablePointExpression
6.0ms
re
@-inf
(- (sqrt (+ (* re re) (* im im))) re)
5.0ms
im
@0
(* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))))
2.0ms
re
@inf
(* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))))
2.0ms
re
@-inf
(* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))))
2.0ms
im
@inf
(* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))))

rewrite299.0ms (3.3%)

Memory
15.7MiB live, 520.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 076×log1p-expm1-u
1 076×expm1-log1p-u
538×fma-define
223×fmm-def
184×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023253
1306253
23128253
Stop Event
1×node limit
Counts
9 → 311
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
(-.f64 (hypot.f64 re im) re)
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(+.f64 (*.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 re (hypot.f64 re im)))
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(+.f64 (hypot.f64 re im) (neg.f64 re))
(+.f64 (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (neg.f64 re) re))
(+.f64 (neg.f64 re) (hypot.f64 re im))
(*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re (hypot.f64 re im)) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (+.f64 re (hypot.f64 re im)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (neg.f64 (+.f64 re (hypot.f64 re im))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 (hypot.f64 re im) (neg.f64 re)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 (neg.f64 re) (neg.f64 re))) (-.f64 (hypot.f64 re im) (neg.f64 re)))
(pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (hypot.f64 re im) re))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 re im) re)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 re im) re)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 re im) re)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) (neg.f64 re))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (neg.f64 re))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (neg.f64 re) (hypot.f64 re im))
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(exp.f64 (log.f64 (-.f64 (hypot.f64 re im) re)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) (neg.f64 re))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (neg.f64 re))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (neg.f64 re) (hypot.f64 re im))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (neg.f64 re))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (+.f64 (neg.f64 re) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 re)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 re) (neg.f64 (sqrt.f64 re)) (hypot.f64 re im))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (+.f64 (neg.f64 re) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (+.f64 (neg.f64 re) re))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (hypot.f64 re im))
(fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) (hypot.f64 re im))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (neg.f64 re))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (neg.f64 re))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 re)) (cbrt.f64 (neg.f64 re))) (cbrt.f64 (neg.f64 re)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (neg.f64 re))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (hypot.f64 re im))
(fma.f64 #s(literal -1 binary64) re (hypot.f64 re im))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (+.f64 (neg.f64 re) re))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (hypot.f64 re im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 re im))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (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 (hypot.f64 re im)))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (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 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (sqrt.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)))))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 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))
(fabs.f64 (hypot.f64 re im))
(log.f64 (exp.f64 (hypot.f64 re im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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)))
(hypot.f64 re im)
(hypot.f64 im re)
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(exp.f64 (log.f64 (hypot.f64 re im)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)))

simplify274.0ms (3%)

Memory
9.3MiB live, 681.7MiB allocated
Algorithm
1×egg-herbie
Rules
762×fma-define
705×associate-*r*
625×associate-*l*
416×distribute-lft-in
414×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
085032989
1249331389
Stop Event
1×node limit
Counts
527 → 498
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/1024 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re)))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
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(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 re (hypot.f64 re im)))
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(+.f64 (hypot.f64 re im) (neg.f64 re))
(+.f64 (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (neg.f64 re) re))
(+.f64 (neg.f64 re) (hypot.f64 re im))
(*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re (hypot.f64 re im)) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (+.f64 re (hypot.f64 re im)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (neg.f64 (+.f64 re (hypot.f64 re im))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 (hypot.f64 re im) (neg.f64 re)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 (neg.f64 re) (neg.f64 re))) (-.f64 (hypot.f64 re im) (neg.f64 re)))
(pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (hypot.f64 re im) re))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 re im) re)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 re im) re)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 re im) re)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) (neg.f64 re))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (neg.f64 re))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (neg.f64 re) (hypot.f64 re im))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (neg.f64 re))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (+.f64 (neg.f64 re) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 re)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 re) (neg.f64 (sqrt.f64 re)) (hypot.f64 re im))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (+.f64 (neg.f64 re) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (+.f64 (neg.f64 re) re))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (hypot.f64 re im))
(fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) (hypot.f64 re im))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (neg.f64 re))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (neg.f64 re))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 re)) (cbrt.f64 (neg.f64 re))) (cbrt.f64 (neg.f64 re)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (neg.f64 re))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (hypot.f64 re im))
(fma.f64 #s(literal -1 binary64) re (hypot.f64 re im))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (+.f64 (neg.f64 re) re))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (hypot.f64 re im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 re im))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (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 (hypot.f64 re im)))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (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 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (sqrt.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)))))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 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))
(fabs.f64 (hypot.f64 re im))
(log.f64 (exp.f64 (hypot.f64 re im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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)))
(hypot.f64 re im)
(hypot.f64 im re)
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(exp.f64 (log.f64 (hypot.f64 re im)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))) (*.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))))))
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(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(+.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (+.f64 re (hypot.f64 re im))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (+.f64 (neg.f64 re) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (+.f64 re (neg.f64 re)))
(+.f64 (/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (+.f64 re (hypot.f64 re im))) (*.f64 #s(literal 0 binary64) re))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (hypot.f64 re im))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 re)) (hypot.f64 re im))
(fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) (hypot.f64 re im))
(fma.f64 (sqrt.f64 re) (neg.f64 (sqrt.f64 re)) (hypot.f64 re im))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (neg.f64 re))
(-.f64 (hypot.f64 re im) re)
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(-.f64 (hypot.f64 re im) re)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (neg.f64 re))
(-.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))) re)
(-.f64 (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))) re)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(-.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))) re)
(-.f64 (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))) re)
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 re)) (cbrt.f64 (neg.f64 re))) (cbrt.f64 (neg.f64 re)) (hypot.f64 re im))
(-.f64 (hypot.f64 re im) re)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (neg.f64 re))
(-.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))) re)
(-.f64 (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))) re)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(-.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))) re)
(-.f64 (*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))) re)
(fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (hypot.f64 re im))
(-.f64 (hypot.f64 re im) re)
(fma.f64 #s(literal -1 binary64) re (hypot.f64 re im))
(-.f64 (hypot.f64 re im) re)
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (+.f64 re (neg.f64 re)))
(fma.f64 (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (*.f64 #s(literal 0 binary64) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (+.f64 (neg.f64 re) re))
(fma.f64 (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (+.f64 re (neg.f64 re)))
(fma.f64 (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (*.f64 #s(literal 0 binary64) re))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(*.f64 (hypot.f64 re im) #s(literal 1 binary64))
(hypot.f64 re im)
(*.f64 #s(literal 1 binary64) (hypot.f64 re im))
(hypot.f64 re im)
(*.f64 (cbrt.f64 (hypot.f64 re im)) (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 (hypot.f64 re im)))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))
(hypot.f64 re im)
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im))
(hypot.f64 re im)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (sqrt.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 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 im re) #s(literal 2 binary64))))))
(/.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (sqrt.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))))))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(hypot.f64 re im)
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(hypot.f64 re im)
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))
(hypot.f64 re im)
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(hypot.f64 re im)
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(hypot.f64 re im)
(fabs.f64 (hypot.f64 re im))
(hypot.f64 re im)
(log.f64 (exp.f64 (hypot.f64 re im)))
(hypot.f64 re im)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))))
(hypot.f64 re im)
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(hypot.f64 re im)
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(hypot.f64 re im)
(hypot.f64 im re)
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(hypot.f64 re im)
(exp.f64 (log.f64 (hypot.f64 re im)))
(hypot.f64 re im)
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(hypot.f64 re im)
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)))
(hypot.f64 re im)

eval170.0ms (1.9%)

Memory
-25.0MiB live, 203.2MiB allocated
Compiler

Compiled 12 983 to 2 600 computations (80% saved)

prune72.0ms (0.8%)

Memory
-2.7MiB live, 195.7MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New48612498
Fresh000
Picked202
Done000
Total48812500
Accuracy
99.9%
Counts
500 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.4%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
24.2%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
81.5%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
24.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
▶14.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
▶50.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
30.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal -4 binary64))))
▶50.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
7.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
▶53.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
53.8%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 3/2 binary64))))
▶82.5%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))
Compiler

Compiled 284 to 224 computations (21.1% saved)

simplify133.0ms (1.4%)

Memory
12.8MiB live, 52.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 im #s(literal 2 binary64))
✓cost-diff0
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
✓cost-diff0
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
✓cost-diff0
(/.f64 re im)
✓cost-diff0
(-.f64 (/.f64 re im) #s(literal 2 binary64))
✓cost-diff0
(*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal 2 binary64) im)
✓cost-diff0
(-.f64 im re)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (-.f64 im re))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
✓cost-diff0
(*.f64 im #s(literal 2 binary64))
✓cost-diff0
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
✓cost-diff0
(hypot.f64 re im)
✓cost-diff0
(-.f64 (hypot.f64 re im) re)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))
Rules
688×fma-define
582×fmm-def
115×distribute-rgt-in
108×times-frac
105×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032550
154550
284550
3147550
4216550
5305550
6508550
7823550
81457550
92185550
102894550
113262550
123308550
133364550
143364550
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))
#s(literal 1/2 binary64)
(-.f64 (hypot.f64 re im) re)
(hypot.f64 re im)
re
im
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
(*.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))
(*.f64 #s(literal 2 binary64) (-.f64 im re))
#s(literal 2 binary64)
(-.f64 im re)
im
re
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) im)
#s(literal 2 binary64)
im
(*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))
re
(-.f64 (/.f64 re im) #s(literal 2 binary64))
(/.f64 re im)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
re
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))
#s(literal 1/2 binary64)
(-.f64 (hypot.f64 re im) re)
(hypot.f64 re im)
re
im
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
(*.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -2 binary64) (-.f64 re im))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))
(sqrt.f64 (*.f64 #s(literal -2 binary64) (-.f64 re im)))
(*.f64 #s(literal 2 binary64) (-.f64 im re))
(*.f64 #s(literal -2 binary64) (-.f64 re im))
#s(literal 2 binary64)
(-.f64 im re)
im
re
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))))
(sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) im)
(*.f64 im #s(literal 2 binary64))
#s(literal 2 binary64)
im
(*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))
(*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))
re
(-.f64 (/.f64 re im) #s(literal 2 binary64))
(+.f64 (/.f64 re im) #s(literal -2 binary64))
(/.f64 re im)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
re

localize93.0ms (1%)

Memory
-24.6MiB live, 169.1MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(pow.f64 im #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
✓accuracy95.9%
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
✓accuracy92.0%
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) im)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
✓accuracy100.0%
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))
✓accuracy100.0%
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))))
✓accuracy100.0%
(-.f64 im re)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (-.f64 im re))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))
✓accuracy100.0%
(*.f64 im #s(literal 2 binary64))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
✓accuracy100.0%
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
✓accuracy100.0%
(hypot.f64 re im)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))
✓accuracy100.0%
(-.f64 (hypot.f64 re im) re)
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))
Samples
45.0ms190×0invalid
15.0ms66×0valid
Compiler

Compiled 155 to 28 computations (81.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 14.0ms (34.1% of total)
ival-sqrt: 10.0ms (24.4% of total)
ival-sub: 6.0ms (14.6% of total)
ival-hypot: 5.0ms (12.2% of total)
ival-div: 3.0ms (7.3% of total)
ival-pow2: 2.0ms (4.9% of total)
ival-add: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series78.0ms (0.8%)

Memory
21.6MiB live, 98.2MiB allocated
Counts
22 → 379
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))>
#<alt (-.f64 (hypot.f64 re im) re)>
#<alt (hypot.f64 re im)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))>
#<alt (sqrt.f64 (*.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 im #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))>
#<alt (*.f64 #s(literal 2 binary64) (-.f64 im re))>
#<alt (-.f64 im re)>
#<alt (*.f64 #s(literal 2 binary64) im)>
#<alt (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))>
#<alt (-.f64 (/.f64 re im) #s(literal 2 binary64))>
#<alt (/.f64 re im)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (/.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))>
Outputs
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 re)))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 re))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 re)))))))>
#<alt (*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (sqrt.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))))))))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) im))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 re (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 re im)) #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 re (-.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) re)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))) re)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))))) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/4 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 -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/4 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 -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
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#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
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#<alt (*.f64 #s(literal 2 binary64) im)>
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#<alt (*.f64 #s(literal 2 binary64) im)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (/.f64 #s(literal 1 binary64) re))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 im) (-.f64 (*.f64 #s(literal 2 binary64) im) im))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) im) re)))) re)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im))) re)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))>
Calls

117 calls:

TimeVariablePointExpression
6.0ms
re
@inf
(sqrt (* 2 (- im re)))
5.0ms
im
@-inf
(sqrt (+ (* 2 im) (* re (- (/ re im) 2))))
5.0ms
im
@-inf
(* 1/2 (sqrt (+ (* 2 im) (* re (- (/ re im) 2)))))
2.0ms
re
@0
(* 1/2 (sqrt (/ (pow im 2) re)))
2.0ms
im
@0
(* im 2)

rewrite283.0ms (3.1%)

Memory
6.0MiB live, 168.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
734×log1p-expm1-u
238×expm1-log1p-u
233×add-exp-log
233×add-log-exp
233×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032505
1551493
27174493
Stop Event
1×node limit
Counts
22 → 537
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))
(-.f64 (hypot.f64 re im) re)
(hypot.f64 re im)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
(*.f64 im #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))
(*.f64 #s(literal 2 binary64) (-.f64 im re))
(-.f64 im re)
(*.f64 #s(literal 2 binary64) im)
(*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))
(-.f64 (/.f64 re im) #s(literal 2 binary64))
(/.f64 re im)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 im #s(literal 2 binary64))
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 1/2 binary64) (neg.f64 re)))
(+.f64 (*.f64 (hypot.f64 re im) #s(literal 1/2 binary64)) (*.f64 (neg.f64 re) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 re im)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 re im)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 re (hypot.f64 re im)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (hypot.f64 re im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 1 binary64)))
(+.f64 (hypot.f64 re im) (neg.f64 re))
(+.f64 (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) re))
(+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re))
(+.f64 (neg.f64 re) (hypot.f64 re im))
(*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 re im))))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 re im)))) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re (hypot.f64 re im)) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 re im)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (+.f64 re (hypot.f64 re im)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 re im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (neg.f64 (+.f64 re (hypot.f64 re im))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 (hypot.f64 re im) (neg.f64 re)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 (neg.f64 re) (neg.f64 re))) (-.f64 (hypot.f64 re im) (neg.f64 re)))
(pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (hypot.f64 re im) re))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 re im) re)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 re im) re)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 re im) re)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (neg.f64 re))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (hypot.f64 re im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 re im))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 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))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 re im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.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 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) (cbrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64)))))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))))) #s(literal 1 binary64))
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(*.f64 (+.f64 (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (-.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (*.f64 im #s(literal 2 binary64)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (-.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (*.f64 im #s(literal 2 binary64))))) (+.f64 (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (-.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (*.f64 im #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 im #s(literal 2 binary64)) re) (+.f64 (/.f64 re im) #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (-.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (*.f64 im #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (*.f64 im #s(literal 2 binary64))))
(pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))
(fma.f64 im #s(literal 2 binary64) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) (sqrt.f64 (*.f64 im #s(literal 2 binary64))) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 (+.f64 (/.f64 re im) #s(literal -2 binary64)) re (*.f64 im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 im #s(literal 2 binary64))) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))) (sqrt.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))) (*.f64 im #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 1 binary64)))

simplify361.0ms (3.9%)

Memory
16.2MiB live, 486.8MiB allocated
Algorithm
1×egg-herbie
Rules
664×*-commutative
295×+-commutative
224×associate-*r*
207×fma-define
203×distribute-rgt-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0193441440
1526540336
Stop Event
1×node limit
Counts
916 → 1 093
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 re)))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 re))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 re)))))))
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(*.f64 (+.f64 (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (-.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (*.f64 im #s(literal 2 binary64)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (-.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (*.f64 im #s(literal 2 binary64))))) (+.f64 (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (-.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (*.f64 im #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64))) (+.f64 (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 im #s(literal 2 binary64)) re) (+.f64 (/.f64 re im) #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal 8 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (-.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (*.f64 im #s(literal 2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (*.f64 im #s(literal 2 binary64))))
(pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))
(fma.f64 im #s(literal 2 binary64) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) (sqrt.f64 (*.f64 im #s(literal 2 binary64))) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 (+.f64 (/.f64 re im) #s(literal -2 binary64)) re (*.f64 im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 im #s(literal 2 binary64))) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))) (sqrt.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))) (*.f64 im #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
Outputs
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re)) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 re (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 re (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 re (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(fma.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(fma.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(fma.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (fma.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))) (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(fma.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (fma.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(fma.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (fma.f64 #s(literal -1/512 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (/.f64 (pow.f64 im #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))) (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(fma.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (fma.f64 #s(literal -1/512 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (/.f64 (pow.f64 im #s(literal 5 binary64)) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (neg.f64 (sqrt.f64 re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 re) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
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(pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
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(pow.f64 (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
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(log.f64 (exp.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
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(fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))
(exp.f64 (log.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))
(fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))
(fma.f64 im #s(literal 2 binary64) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 im #s(literal 2 binary64) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) (sqrt.f64 (*.f64 im #s(literal 2 binary64))) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 im #s(literal 2 binary64) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 (+.f64 (/.f64 re im) #s(literal -2 binary64)) re (*.f64 im #s(literal 2 binary64)))
(fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 im #s(literal 2 binary64) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64))) (cbrt.f64 (*.f64 im #s(literal 2 binary64))) (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))) (sqrt.f64 (*.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
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(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))
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(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))))))
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(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 (/.f64 re im) #s(literal -2 binary64)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
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eval166.0ms (1.8%)

Memory
-14.6MiB live, 295.7MiB allocated
Compiler

Compiled 24 331 to 4 679 computations (80.8% saved)

prune186.0ms (2%)

Memory
10.6MiB live, 289.4MiB allocated
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1 081121 093
Fresh527
Picked325
Done000
Total1 089161 105
Accuracy
100.0%
Counts
1 105 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.3%
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) #s(literal 2 binary64))
24.3%
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
24.2%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
▶24.3%
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
▶81.5%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
24.3%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 2 binary64)))
▶24.3%
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im)))
14.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 im im) re)))
▶14.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
✓50.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
50.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (*.f64 re (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 2 binary64) re)))))))
33.7%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))))
50.6%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
✓82.5%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))
53.6%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
▶30.4%
(sqrt.f64 (neg.f64 re))
Compiler

Compiled 330 to 254 computations (23% saved)

simplify179.0ms (1.9%)

Memory
14.8MiB live, 52.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 re (pow.f64 im #s(literal 2 binary64)))
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))
✓cost-diff128
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
✓cost-diff0
(sqrt.f64 re)
✓cost-diff0
(/.f64 (sqrt.f64 re) im)
✓cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im))
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im)))
✓cost-diff0
(sqrt.f64 re)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
✓cost-diff0
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
✓cost-diff0
(neg.f64 re)
✓cost-diff0
(sqrt.f64 (neg.f64 re))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
✓cost-diff0
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64))
✓cost-diff6528
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓cost-diff6528
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
Rules
1 096×fma-define
516×fmm-def
463×times-frac
163×div-sub
158×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031482
159470
295442
3150442
4220442
5254442
6333442
7452442
8572442
9671442
10982442
111636442
123608442
133869442
144176442
154588442
164790442
174804442
184837442
194856442
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
#s(literal 2 binary64)
(-.f64 (hypot.f64 re im) re)
(hypot.f64 re im)
re
im
#s(literal 1/4 binary64)
(sqrt.f64 (neg.f64 re))
(neg.f64 re)
re
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
im
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
#s(literal 1/2 binary64)
(sqrt.f64 re)
re
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 re) im)
(sqrt.f64 re)
re
im
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))
#s(literal 1 binary64)
(/.f64 re (pow.f64 im #s(literal 2 binary64)))
re
(pow.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
#s(literal 1/2 binary64)
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
#s(literal 2 binary64)
(-.f64 (hypot.f64 re im) re)
(hypot.f64 re im)
re
im
#s(literal 1/4 binary64)
(sqrt.f64 (neg.f64 re))
(neg.f64 re)
re
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
im
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
#s(literal 1/2 binary64)
(sqrt.f64 re)
re
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im)))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im))
(/.f64 im (sqrt.f64 re))
#s(literal 1 binary64)
(/.f64 (sqrt.f64 re) im)
(sqrt.f64 re)
re
im
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) re)))
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
#s(literal 1 binary64)
(/.f64 re (pow.f64 im #s(literal 2 binary64)))
re
(pow.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)

localize93.0ms (1%)

Memory
-31.2MiB live, 136.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 re (pow.f64 im #s(literal 2 binary64)))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
✓accuracy100.0%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))
✓accuracy100.0%
(/.f64 (sqrt.f64 re) im)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im)))
✓accuracy100.0%
(sqrt.f64 re)
✓accuracy100.0%
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
✓accuracy100.0%
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
✓accuracy100.0%
(sqrt.f64 re)
✓accuracy100.0%
(sqrt.f64 (neg.f64 re))
✓accuracy100.0%
(neg.f64 re)
accuracy100.0%
(hypot.f64 re im)
accuracy100.0%
(-.f64 (hypot.f64 re im) re)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
Samples
58.0ms256×0invalid
Compiler

Compiled 138 to 27 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-pow2: 10.0ms (24.1% of total)
ival-div: 7.0ms (16.9% of total)
ival-mult: 6.0ms (14.5% of total)
ival-pow: 5.0ms (12.1% of total)
ival-hypot: 4.0ms (9.6% of total)
ival-sqrt: 4.0ms (9.6% of total)
ival-sub: 1.0ms (2.4% of total)
exact: 1.0ms (2.4% of total)
ival-neg: 1.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series40.0ms (0.4%)

Memory
26.8MiB live, 65.0MiB allocated
Counts
16 → 304
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))>
#<alt (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64))>
#<alt (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))>
#<alt (sqrt.f64 (neg.f64 re))>
#<alt (neg.f64 re)>
#<alt (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))>
#<alt (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))>
#<alt (sqrt.f64 re)>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im)))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im))>
#<alt (/.f64 (sqrt.f64 re) im)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))>
#<alt (/.f64 re (pow.f64 im #s(literal 2 binary64)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))>
#<alt (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/1024 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re)))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re)))))))>
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#<alt (/.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (/.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (/.f64 (pow.f64 im #s(literal 2 binary64)) re)>
Calls

84 calls:

TimeVariablePointExpression
3.0ms
re
@-inf
(* 2 (- (sqrt (+ (* re re) (* im im))) re))
2.0ms
re
@inf
(pow (* 2 (- (sqrt (+ (* re re) (* im im))) re)) 1/4)
2.0ms
re
@-inf
(pow (* 2 (- (sqrt (+ (* re re) (* im im))) re)) 1/4)
2.0ms
im
@0
(pow (* 2 (- (sqrt (+ (* re re) (* im im))) re)) 1/4)
2.0ms
im
@inf
(pow (* 2 (- (sqrt (+ (* re re) (* im im))) re)) 1/4)

rewrite284.0ms (3.1%)

Memory
-20.6MiB live, 135.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
528×prod-diff
417×log1p-expm1-u
211×expm1-log1p-u
208×pow1
205×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031358
1493324
26531324
Stop Event
1×node limit
Counts
16 → 543
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
(sqrt.f64 (neg.f64 re))
(neg.f64 re)
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
(sqrt.f64 re)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im))
(/.f64 (sqrt.f64 re) im)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))
(/.f64 re (pow.f64 im #s(literal 2 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(fabs.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re))
(+.f64 (*.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 re im)))))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))) (+.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 re im)))))
(/.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 2 binary64)) (+.f64 re (hypot.f64 re im)))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 re))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(*.f64 (cbrt.f64 (sqrt.f64 re)) (cbrt.f64 re))
(*.f64 (cbrt.f64 re) (cbrt.f64 (sqrt.f64 re)))
(*.f64 (pow.f64 re #s(literal 1/4 binary64)) (pow.f64 re #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 re)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 re))
(pow.f64 re #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 re))
(log.f64 (exp.f64 (sqrt.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 re))))
(cbrt.f64 (pow.f64 re #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 re)))
(log1p.f64 (expm1.f64 (sqrt.f64 re)))
(exp.f64 (log.f64 (sqrt.f64 re)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 re)) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) re)
(-.f64 #s(literal 0 binary64) re)
(-.f64 (exp.f64 (log1p.f64 re)) #s(literal 1 binary64))
(*.f64 re #s(literal 1 binary64))
(*.f64 re #s(literal -1 binary64))
(*.f64 (sqrt.f64 re) (sqrt.f64 re))
(*.f64 (sqrt.f64 re) (neg.f64 (sqrt.f64 re)))
(*.f64 #s(literal 1 binary64) re)
(*.f64 #s(literal -1 binary64) re)
(*.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 re) (*.f64 (cbrt.f64 (sqrt.f64 re)) (sqrt.f64 re)))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 re)))
(*.f64 (pow.f64 re #s(literal 1/4 binary64)) (*.f64 (pow.f64 re #s(literal 1/4 binary64)) (sqrt.f64 re)))
(*.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re))
(*.f64 (*.f64 (sqrt.f64 re) (pow.f64 re #s(literal 1/4 binary64))) (pow.f64 re #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re))
(*.f64 (*.f64 (sqrt.f64 re) (cbrt.f64 re)) (cbrt.f64 (sqrt.f64 re)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) re))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 re #s(literal 2 binary64))) re)
(pow.f64 re #s(literal 1 binary64))
(pow.f64 (sqrt.f64 re) #s(literal 2 binary64))
(pow.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 re) #s(literal 3 binary64))
(pow.f64 (pow.f64 re #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 re #s(literal 2 binary64)))
(log.f64 (exp.f64 re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 re)))
(cbrt.f64 (pow.f64 re #s(literal 3 binary64)))
re
(expm1.f64 (log1p.f64 re))
(log1p.f64 (expm1.f64 re))
(exp.f64 (log.f64 re))
(exp.f64 (*.f64 (log.f64 re) #s(literal 1 binary64)))
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(*.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))) (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 re) im) (sqrt.f64 re)) (/.f64 #s(literal 1 binary64) im))
(*.f64 (*.f64 (/.f64 (sqrt.f64 re) im) (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))))) (cbrt.f64 (/.f64 (sqrt.f64 re) im)))
(pow.f64 (/.f64 (sqrt.f64 re) im) #s(literal 2 binary64))
(pow.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 re) (pow.f64 im #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 re) (pow.f64 im #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) #s(literal 1 binary64)))

simplify502.0ms (5.5%)

Memory
12.3MiB live, 468.9MiB allocated
Algorithm
1×egg-herbie
Rules
846×fma-define
549×distribute-lft-in
540×distribute-rgt-in
486×*-commutative
397×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0142831204
1366528662
Stop Event
1×node limit
Counts
847 → 740
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/1024 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re)))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re)))))))
(*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 re) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64)))))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (*.f64 re (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 re (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) (*.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64))))
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) re) im) im)
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) re) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 im (sqrt.f64 re)) (pow.f64 re #s(literal -1/2 binary64))) im)
(pow.f64 (/.f64 (sqrt.f64 re) im) #s(literal -2 binary64))
(pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 2 binary64))
(pow.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(sqrt.f64 (pow.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(exp.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(exp.f64 (*.f64 (log.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) (log.f64 re)))
(-.f64 #s(literal 0 binary64) (*.f64 re (pow.f64 im #s(literal -2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 im #s(literal 2 binary64)))) (*.f64 re (pow.f64 im #s(literal -2 binary64))))
(*.f64 re (pow.f64 im #s(literal -2 binary64)))
(*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)))
(*.f64 re (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 im #s(literal 2 binary64)))))
(*.f64 re (neg.f64 (pow.f64 im #s(literal -2 binary64))))
(*.f64 re (/.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 re) (/.f64 (sqrt.f64 re) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (sqrt.f64 re) (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (sqrt.f64 re) im)))
(*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) (pow.f64 im #s(literal -2 binary64))))
(*.f64 (sqrt.f64 re) (/.f64 (sqrt.f64 re) (neg.f64 (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 re (pow.f64 im #s(literal -2 binary64))))
(*.f64 (/.f64 (sqrt.f64 re) im) (/.f64 (sqrt.f64 re) im))
(*.f64 (/.f64 (sqrt.f64 re) im) (/.f64 (sqrt.f64 re) (neg.f64 im)))
(*.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 re (pow.f64 im #s(literal -2 binary64))))
(*.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 re) im)) (/.f64 (sqrt.f64 re) im)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (neg.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (/.f64 (cbrt.f64 re) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) (pow.f64 im #s(literal -2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (/.f64 (cbrt.f64 re) (neg.f64 (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 re) im)) (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 re) im)) (/.f64 (sqrt.f64 re) im)))
(*.f64 (/.f64 (sqrt.f64 re) (neg.f64 im)) (/.f64 (sqrt.f64 re) im))
(*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))
(*.f64 (pow.f64 im #s(literal -2 binary64)) re)
(*.f64 (*.f64 (/.f64 (sqrt.f64 re) im) (sqrt.f64 (/.f64 (sqrt.f64 re) im))) (sqrt.f64 (/.f64 (sqrt.f64 re) im)))
(*.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 re) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 re) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (/.f64 (sqrt.f64 re) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (/.f64 re (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) im) (/.f64 (cbrt.f64 re) im))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 re) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))) (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 re) im) (sqrt.f64 re)) (/.f64 #s(literal 1 binary64) im))
(*.f64 (*.f64 (/.f64 (sqrt.f64 re) im) (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))))) (cbrt.f64 (/.f64 (sqrt.f64 re) im)))
(pow.f64 (/.f64 (sqrt.f64 re) im) #s(literal 2 binary64))
(pow.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal -1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))))
(sqrt.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 re) (pow.f64 im #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))))))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 re) (pow.f64 im #s(literal -2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))) (*.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))))))
(fma.f64 re (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))) (*.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 re (fma.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (sqrt.f64 #s(literal 2 binary64))))))))
(fma.f64 re (fma.f64 re (fma.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re) (*.f64 (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(fma.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))))
(+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(fma.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))
(fma.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))))
(+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/1024 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))
(fma.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (fma.f64 #s(literal -1/1024 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (*.f64 (pow.f64 im #s(literal 5 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/64 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))))
(fma.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (+.f64 (*.f64 #s(literal -1/1024 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 #s(literal 1/64 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))
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(*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
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(*.f64 re (pow.f64 im #s(literal -2 binary64)))
(*.f64 (sqrt.f64 re) (/.f64 (sqrt.f64 re) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)))
(/.f64 re (pow.f64 im #s(literal 2 binary64)))
(*.f64 (sqrt.f64 re) (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 (sqrt.f64 re) im)))
(*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)))
(/.f64 re (pow.f64 im #s(literal 2 binary64)))
(*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) (pow.f64 im #s(literal -2 binary64))))
(*.f64 re (pow.f64 im #s(literal -2 binary64)))
(*.f64 (sqrt.f64 re) (/.f64 (sqrt.f64 re) (neg.f64 (pow.f64 im #s(literal 2 binary64)))))
(/.f64 re (neg.f64 (pow.f64 im #s(literal 2 binary64))))
(neg.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 re (pow.f64 im #s(literal -2 binary64))))
(*.f64 re (pow.f64 im #s(literal -2 binary64)))
(*.f64 (/.f64 (sqrt.f64 re) im) (/.f64 (sqrt.f64 re) im))
(*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)))
(/.f64 re (pow.f64 im #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 re) im) (/.f64 (sqrt.f64 re) (neg.f64 im)))
(/.f64 re (neg.f64 (pow.f64 im #s(literal 2 binary64))))
(neg.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))))
(*.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 re (pow.f64 im #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 re (pow.f64 im #s(literal -2 binary64))))
(*.f64 (neg.f64 re) (pow.f64 im #s(literal -2 binary64)))
(*.f64 (pow.f64 im #s(literal -2 binary64)) (neg.f64 re))
(*.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 re) im)) (/.f64 (sqrt.f64 re) im)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 re) im))) (/.f64 (sqrt.f64 re) im))
(*.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 re) im)) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (neg.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (/.f64 (cbrt.f64 re) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)))
(/.f64 re (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) (pow.f64 im #s(literal -2 binary64))))
(*.f64 re (pow.f64 im #s(literal -2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (/.f64 (cbrt.f64 re) (neg.f64 (pow.f64 im #s(literal 2 binary64)))))
(/.f64 re (neg.f64 (pow.f64 im #s(literal 2 binary64))))
(neg.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 re) im)) (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 re) im)) (/.f64 (sqrt.f64 re) im)))
(*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)))
(/.f64 re (pow.f64 im #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 re) (neg.f64 im)) (/.f64 (sqrt.f64 re) im))
(/.f64 re (neg.f64 (pow.f64 im #s(literal 2 binary64))))
(neg.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 re im))
(*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)))
(/.f64 re (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal -2 binary64)) re)
(*.f64 re (pow.f64 im #s(literal -2 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 re) im) (sqrt.f64 (/.f64 (sqrt.f64 re) im))) (sqrt.f64 (/.f64 (sqrt.f64 re) im)))
(*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)))
(/.f64 re (pow.f64 im #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 re) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)))
(/.f64 re (pow.f64 im #s(literal 2 binary64)))
(*.f64 (/.f64 (sqrt.f64 re) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (/.f64 (sqrt.f64 re) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(/.f64 (*.f64 (sqrt.f64 re) (/.f64 (sqrt.f64 re) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (/.f64 re (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))))
(/.f64 (/.f64 re (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) im) (/.f64 (cbrt.f64 re) im))
(*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)))
(/.f64 re (pow.f64 im #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 re) (pow.f64 im #s(literal 2 binary64))))
(*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)))
(/.f64 re (pow.f64 im #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))) (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64)))))
(*.f64 (neg.f64 (cbrt.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))) (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64)))) (neg.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))))))
(*.f64 (*.f64 (/.f64 (sqrt.f64 re) im) (sqrt.f64 re)) (/.f64 #s(literal 1 binary64) im))
(*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)))
(/.f64 re (pow.f64 im #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 (sqrt.f64 re) im) (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))))) (cbrt.f64 (/.f64 (sqrt.f64 re) im)))
(*.f64 (/.f64 (sqrt.f64 re) im) (*.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (sqrt.f64 re) im))))
(pow.f64 (/.f64 (sqrt.f64 re) im) #s(literal 2 binary64))
(*.f64 re (*.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) im)))
(/.f64 re (pow.f64 im #s(literal 2 binary64)))
(pow.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 re (pow.f64 im #s(literal -2 binary64)))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(pow.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) #s(literal 3 binary64))
(*.f64 re (pow.f64 im #s(literal -2 binary64)))
(pow.f64 (pow.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 re (pow.f64 im #s(literal -2 binary64)))
(neg.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))))
(*.f64 (neg.f64 re) (pow.f64 im #s(literal -2 binary64)))
(*.f64 (pow.f64 im #s(literal -2 binary64)) (neg.f64 re))
(sqrt.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 re) (pow.f64 im #s(literal -2 binary64))))
(*.f64 re (pow.f64 im #s(literal -2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))))))
(*.f64 re (pow.f64 im #s(literal -2 binary64)))
(log.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 re) (pow.f64 im #s(literal -2 binary64)))))
(*.f64 (neg.f64 re) (pow.f64 im #s(literal -2 binary64)))
(*.f64 (pow.f64 im #s(literal -2 binary64)) (neg.f64 re))
(cbrt.f64 (pow.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal 3 binary64)))
(*.f64 re (pow.f64 im #s(literal -2 binary64)))
(cbrt.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))))
(*.f64 re (pow.f64 im #s(literal -2 binary64)))
(exp.f64 (log.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))))
(*.f64 re (pow.f64 im #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) #s(literal 1 binary64)))
(*.f64 re (pow.f64 im #s(literal -2 binary64)))

eval123.0ms (1.3%)

Memory
-10.5MiB live, 215.1MiB allocated
Compiler

Compiled 19 845 to 4 379 computations (77.9% saved)

prune127.0ms (1.4%)

Memory
19.2MiB live, 298.7MiB allocated
Pruning

17 alts after pruning (13 fresh and 4 done)

PrunedKeptTotal
New8977904
Fresh369
Picked325
Done022
Total90317920
Accuracy
100.0%
Counts
920 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.3%
(pow.f64 (sqrt.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))) #s(literal 2 binary64))
24.3%
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
24.3%
(/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)) (/.f64 #s(literal 1 binary64) im))
▶24.3%
(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 re) im))
24.3%
(*.f64 im (*.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
24.3%
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))
✓81.5%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
24.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 1/4 binary64))) (/.f64 im (pow.f64 re #s(literal 1/4 binary64)))))
▶14.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 im im) re)))
✓50.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
50.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (*.f64 re (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 2 binary64) re)))))))
▶33.7%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))))
50.6%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
✓82.5%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))
▶53.6%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
✓30.4%
(sqrt.f64 (neg.f64 re))
▶2.8%
(sqrt.f64 re)
Compiler

Compiled 304 to 227 computations (25.3% saved)

simplify195.0ms (2.1%)

Memory
-1.5MiB live, 36.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) (-.f64 im re))
✓cost-diff0
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))
✓cost-diff0
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))))
✓cost-diff0
(*.f64 im im)
✓cost-diff0
(/.f64 (*.f64 im im) re)
✓cost-diff0
(sqrt.f64 (/.f64 (*.f64 im im) re))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 im im) re)))
cost-diff0
(sqrt.f64 re)
cost-diff0
(/.f64 (sqrt.f64 re) im)
✓cost-diff0
(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 re) im))
cost-diff0
(sqrt.f64 re)
cost-diff0
(-.f64 im re)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
Rules
829×fma-define
490×fmm-def
174×times-frac
167×distribute-lft-in
161×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025367
135367
255367
394367
4139367
5198367
6338367
7540367
8914367
91418367
102089367
112476367
122646367
132772367
142937367
152993367
163097367
173344367
183782367
194028367
204028367
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
#s(literal 1/2 binary64)
(-.f64 im re)
im
re
(sqrt.f64 re)
re
(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 re) im))
#s(literal 1/2 binary64)
(/.f64 (sqrt.f64 re) im)
(sqrt.f64 re)
re
im
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 im im) re)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 (*.f64 im im) re))
(/.f64 (*.f64 im im) re)
(*.f64 im im)
im
re
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))))
#s(literal 1/2 binary64)
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 im re))
#s(literal 2 binary64)
(-.f64 im re)
im
re
#s(literal 3/2 binary64)
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
#s(literal 1/2 binary64)
(-.f64 im re)
im
re
(sqrt.f64 re)
re
(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 re) im))
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
#s(literal 1/2 binary64)
(/.f64 (sqrt.f64 re) im)
(sqrt.f64 re)
re
im
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 im im) re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 im re))))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 (*.f64 im im) re))
(sqrt.f64 (*.f64 im (/.f64 im re)))
(/.f64 (*.f64 im im) re)
(*.f64 im (/.f64 im re))
(*.f64 im im)
im
re
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
#s(literal 1/2 binary64)
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 im re))
(*.f64 (-.f64 im re) #s(literal 2 binary64))
#s(literal 2 binary64)
(-.f64 im re)
im
re
#s(literal 3/2 binary64)

localize120.0ms (1.3%)

Memory
-28.6MiB live, 131.6MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 im re)
accuracy100.0%
(*.f64 #s(literal 2 binary64) (-.f64 im re))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))))
✓accuracy89.9%
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64)))
✓accuracy100.0%
(*.f64 im im)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 im im) re)))
✓accuracy95.9%
(/.f64 (*.f64 im im) re)
✓accuracy92.0%
(sqrt.f64 (/.f64 (*.f64 im im) re))
accuracy100.0%
(sqrt.f64 re)
accuracy99.9%
(/.f64 (sqrt.f64 re) im)
✓accuracy99.9%
(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 re) im))
accuracy100.0%
(sqrt.f64 re)
accuracy100.0%
(-.f64 im re)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
Samples
59.0ms66×0valid
30.0ms190×0invalid
Compiler

Compiled 100 to 21 computations (79% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 55.0ms (74.1% of total)
ival-sqrt: 7.0ms (9.4% of total)
ival-div: 4.0ms (5.4% of total)
ival-pow: 4.0ms (5.4% of total)
ival-sub: 2.0ms (2.7% of total)
ival-cbrt: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series175.0ms (1.9%)

Memory
5.5MiB live, 84.3MiB allocated
Counts
10 → 228
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 im re))>
#<alt (/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 re) im))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 im im) re)))>
#<alt (sqrt.f64 (/.f64 (*.f64 im im) re))>
#<alt (/.f64 (*.f64 im im) re)>
#<alt (*.f64 im im)>
#<alt (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))))>
#<alt (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64)))>
#<alt (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))>
Outputs
#<alt (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))))))) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) re)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) im))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) im))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) im))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 re im))))>
#<alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 re im))))>
#<alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 re im))))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) im))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) im))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) im))>
#<alt (*.f64 #s(literal -1/2 binary64) re)>
#<alt (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im re)) #s(literal 1/2 binary64)))>
#<alt (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im re)) #s(literal 1/2 binary64)))>
#<alt (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im re)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 im re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 im re)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 im re)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
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#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 re (*.f64 #s(literal 2 binary64) re))) (sqrt.f64 #s(literal -8 binary64))))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 im) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64))) (pow.f64 re #s(literal 2 binary64)))) (sqrt.f64 #s(literal -8 binary64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -8 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal -16 binary64) (/.f64 (*.f64 im (pow.f64 (+.f64 re (*.f64 #s(literal 2 binary64) re)) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -8 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal -8 binary64)))))) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -8 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 re (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 re (-.f64 (*.f64 #s(literal 8 binary64) (+.f64 im (*.f64 #s(literal 2 binary64) im))) (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))) (sqrt.f64 #s(literal 8 binary64))))))) (*.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 re (+.f64 #s(literal 8 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 8 binary64) (+.f64 im (*.f64 #s(literal 2 binary64) im))) (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 2 binary64))))))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (+.f64 im (*.f64 #s(literal 2 binary64) im))) (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 8 binary64))))))))) (*.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64))))>
#<alt (*.f64 (sqrt.f64 (pow.f64 re #s(literal 3 binary64))) (sqrt.f64 #s(literal -8 binary64)))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 (+.f64 im (*.f64 #s(literal 2 binary64) im)) (sqrt.f64 #s(literal -8 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -8 binary64)))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 (+.f64 im (*.f64 #s(literal 2 binary64) im)) (sqrt.f64 #s(literal -8 binary64))))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))) (sqrt.f64 #s(literal -8 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -8 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (pow.f64 im #s(literal 3 binary64))) (*.f64 #s(literal 16 binary64) (/.f64 (*.f64 re (pow.f64 (+.f64 im (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -8 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal -8 binary64))))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 (+.f64 im (*.f64 #s(literal 2 binary64) im)) (sqrt.f64 #s(literal -8 binary64))))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64)))) (sqrt.f64 #s(literal -8 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -8 binary64)))))))>
#<alt (*.f64 (sqrt.f64 (pow.f64 re #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 8 binary64))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 im (*.f64 #s(literal 2 binary64) im))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))) (sqrt.f64 #s(literal 8 binary64))))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 im (*.f64 #s(literal 2 binary64) im))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 8 binary64) (pow.f64 im #s(literal 3 binary64))) (*.f64 #s(literal -16 binary64) (/.f64 (*.f64 re (pow.f64 (+.f64 im (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 re) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))) (sqrt.f64 #s(literal 8 binary64)))))) (pow.f64 re #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 im (*.f64 #s(literal 2 binary64) im))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 8 binary64)))))))>
Calls

57 calls:

TimeVariablePointExpression
5.0ms
im
@0
(pow (* 2 (- im re)) 3/2)
2.0ms
re
@0
(pow (* 2 (- im re)) 3/2)
2.0ms
im
@-inf
(* 1/2 (cbrt (pow (* 2 (- im re)) 3/2)))
2.0ms
im
@-inf
(pow (* 2 (- im re)) 3/2)
2.0ms
re
@-inf
(pow (* 2 (- im re)) 3/2)

rewrite178.0ms (1.9%)

Memory
16.0MiB live, 128.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
1 007×log1p-expm1-u
478×prod-diff
471×expm1-log1p-u
157×add-exp-log
157×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025229
1366211
24888211
Stop Event
1×node limit
Counts
10 → 273
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 re) im))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 im im) re)))
(sqrt.f64 (/.f64 (*.f64 im im) re))
(/.f64 (*.f64 im im) re)
(*.f64 im im)
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 im re)))
(*.f64 (sqrt.f64 (-.f64 im re)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/2 binary64) (neg.f64 re)))
(+.f64 (*.f64 im #s(literal 1/2 binary64)) (*.f64 (neg.f64 re) #s(literal 1/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (fma.f64 im im (*.f64 re (+.f64 im re))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 im re))
(/.f64 (*.f64 (-.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 1/2 binary64)) (fma.f64 im im (*.f64 re (+.f64 im re))))
(/.f64 (*.f64 (-.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)) (+.f64 im re))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (-.f64 im re)) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))) #s(literal 1 binary64))
(*.f64 (/.f64 im (sqrt.f64 re)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))
(*.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) (neg.f64 im))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) im)
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) #s(literal 1 binary64)) im)
(*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64))) (*.f64 (-.f64 im re) #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (-.f64 im re) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (-.f64 im re) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify295.0ms (3.2%)

Memory
2.6MiB live, 404.9MiB allocated
Algorithm
1×egg-herbie
Rules
884×fma-define
455×*-commutative
423×distribute-rgt-in
423×distribute-lft-in
379×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0112123726
1324322944
Stop Event
1×node limit
Counts
501 → 565
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))))))) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))
(*.f64 #s(literal -1/2 binary64) re)
(+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 re im))))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 re im))))
(*.f64 im (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 re im))))
(*.f64 #s(literal 1/2 binary64) im)
(*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) im)
(+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 (*.f64 #s(literal -1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) im))
(*.f64 #s(literal -1/2 binary64) re)
(*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im re)) #s(literal 1/2 binary64)))
(*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im re)) #s(literal 1/2 binary64)))
(*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im re)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) re)
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 im re)))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 im re)))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 im re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
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(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
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(*.f64 (pow.f64 (-.f64 im re) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)))))
(*.f64 (*.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
Outputs
(*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) im) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) im)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 im (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 im))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))))))) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 im (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 im (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))))) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(fma.f64 im (fma.f64 im (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 im))
(*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 im (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 im (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 im (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 im) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))
(*.f64 (neg.f64 im) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (neg.f64 im))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))))))
(*.f64 (neg.f64 im) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (neg.f64 im))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))))
(*.f64 (neg.f64 im) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))))))
(*.f64 im (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 im))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 im)))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 re (fma.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 im)))
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(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))) #s(literal 3 binary64))
(*.f64 (*.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)))) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))) (*.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))))
(*.f64 (*.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64))))) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)))))
(*.f64 (-.f64 im re) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 im re) #s(literal 3 binary64)) #s(literal 8 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(*.f64 (-.f64 im re) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64)))))
(*.f64 (-.f64 im re) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(*.f64 (-.f64 im re) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(*.f64 (-.f64 im re) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)))))
(*.f64 (-.f64 im re) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 (-.f64 im re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(*.f64 (-.f64 im re) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))

eval245.0ms (2.7%)

Memory
13.9MiB live, 208.1MiB allocated
Compiler

Compiled 17 264 to 3 103 computations (82% saved)

prune110.0ms (1.2%)

Memory
11.2MiB live, 251.2MiB allocated
Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New7632765
Fresh178
Picked145
Done044
Total76517782
Accuracy
100.0%
Counts
782 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.3%
(pow.f64 (sqrt.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))) #s(literal 2 binary64))
24.3%
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) (/.f64 #s(literal 1 binary64) im))
24.3%
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
✓24.3%
(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 re) im))
24.3%
(*.f64 im (*.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
24.3%
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))
✓81.5%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
24.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 1/4 binary64))) (/.f64 im (pow.f64 re #s(literal 1/4 binary64)))))
✓14.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 im im) re)))
✓50.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
50.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (*.f64 re (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 2 binary64) re)))))))
50.6%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
✓82.5%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))
✓53.6%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
✓30.4%
(sqrt.f64 (neg.f64 re))
✓2.8%
(sqrt.f64 re)
33.6%
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)) #s(literal 3/2 binary64)))
Compiler

Compiled 482 to 254 computations (47.3% saved)

regimes258.0ms (2.8%)

Memory
-32.6MiB live, 93.0MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
(sqrt.f64 re)
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal -4 binary64))))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 re) im))
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 im (*.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 im im) re)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)) (/.f64 #s(literal 1 binary64) im))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) (/.f64 #s(literal 1 binary64) im))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (*.f64 re (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 2 binary64) re)))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)) #s(literal 3/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 1/4 binary64))) (/.f64 im (pow.f64 re #s(literal 1/4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
Outputs
(*.f64 im (*.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re)))
Calls

7 calls:

139.0ms
(*.f64 im im)
67.0ms
re
11.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
10.0ms
im
10.0ms
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
Results
AccuracySegmentsBranch
92.7%2re
82.5%1im
92.8%2(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
92.8%2(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
92.8%3(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
92.8%3(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
82.5%1(*.f64 im im)
Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes49.0ms (0.5%)

Memory
10.7MiB live, 86.7MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
(sqrt.f64 re)
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal -4 binary64))))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 re) im))
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 im (*.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (*.f64 im im) re)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)) (/.f64 #s(literal 1 binary64) im))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) (/.f64 #s(literal 1 binary64) im))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (*.f64 re (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 2 binary64) re)))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)) #s(literal 3/2 binary64)))
Outputs
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(*.f64 im (*.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
Calls

7 calls:

8.0ms
(*.f64 im im)
8.0ms
re
7.0ms
im
6.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
6.0ms
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
Results
AccuracySegmentsBranch
61.3%3im
58.6%2(*.f64 im im)
64.9%3(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
64.9%3(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
82.6%3re
64.9%2(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
64.9%2(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes5.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
10 → 3
Calls
Call 1
Inputs
(sqrt.f64 re)
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal -4 binary64))))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(/.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 re) im))
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
Outputs
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))
Calls

1 calls:

4.0ms
re
Results
AccuracySegmentsBranch
82.6%3re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(sqrt.f64 re)
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 re #s(literal -4 binary64))))
Outputs
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
Calls

1 calls:

3.0ms
re
Results
AccuracySegmentsBranch
67.8%2re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
-13.1MiB live, 25.7MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
(sqrt.f64 re)
(sqrt.f64 (neg.f64 re))
Outputs
(sqrt.f64 (neg.f64 re))
(sqrt.f64 re)
Calls

7 calls:

3.0ms
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
2.0ms
im
2.0ms
re
1.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
1.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
Results
AccuracySegmentsBranch
30.4%1(*.f64 im im)
30.4%1im
30.4%1(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
30.4%1(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
30.4%1(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
30.4%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
33.2%2re
Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes12.0ms (0.1%)

Memory
-16.8MiB live, 26.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(sqrt.f64 re)
Outputs
(sqrt.f64 re)
Calls

7 calls:

4.0ms
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
1.0ms
im
1.0ms
re
1.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
1.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
Results
AccuracySegmentsBranch
2.8%1(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
2.8%1(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
2.8%1(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
2.8%1(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
2.8%1im
2.8%1(*.f64 im im)
2.8%1re
Compiler

Compiled 69 to 45 computations (34.8% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
2.1384791951576015e-153
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch44.0ms (0.5%)

Memory
3.9MiB live, 77.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
24.0ms
1.17815699108975e-78
4.269078424362895e-68
13.0ms
-2.954076501010695e-38
-1.6193106442061599e-46
Samples
17.0ms236×0valid
8.0ms46×2valid
3.0ms22×1valid
Compiler

Compiled 345 to 272 computations (21.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-hypot: 7.0ms (35.3% of total)
ival-mult: 4.0ms (20.2% of total)
ival-sub: 4.0ms (20.2% of total)
ival-sqrt: 3.0ms (15.1% of total)
adjust: 1.0ms (5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch39.0ms (0.4%)

Memory
36.3MiB live, 74.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
23.0ms
1.17815699108975e-78
4.269078424362895e-68
13.0ms
-2.954076501010695e-38
-1.6193106442061599e-46
Samples
14.0ms237×0valid
9.0ms45×2valid
3.0ms22×1valid
Compiler

Compiled 335 to 262 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-hypot: 8.0ms (43% of total)
ival-mult: 4.0ms (21.5% of total)
ival-sqrt: 3.0ms (16.1% of total)
ival-sub: 2.0ms (10.8% of total)
adjust: 1.0ms (5.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
-19.1MiB live, 27.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
-1.9692357722455845e-53
-1.2461883944004213e-57
Samples
8.0ms128×0valid
Compiler

Compiled 124 to 102 computations (17.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-hypot: 2.0ms (38.9% of total)
ival-sub: 1.0ms (19.5% of total)
ival-mult: 1.0ms (19.5% of total)
ival-sqrt: 1.0ms (19.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
-7.3MiB live, 32.0MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
-2.2865466340609517e-306
2.662526002003692e-305
Samples
9.0ms144×0valid
Compiler

Compiled 119 to 95 computations (20.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (35.2% of total)
ival-hypot: 2.0ms (35.2% of total)
ival-sub: 1.0ms (17.6% of total)
ival-sqrt: 1.0ms (17.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify6.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
Algorithm
1×egg-herbie
Rules
8×*-commutative
5×+-commutative
4×sub-neg
1×neg-sub0
1×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061363
175363
280363
381363
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) #s(literal 0 binary64)) (*.f64 im (*.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))))
(if (<=.f64 re #s(literal -1915619426082361/95780971304118053647396689196894323976171195136475136 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 4276979833124165/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) (*.f64 im (*.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))
(if (<=.f64 re #s(literal -5639583590386471/24519928653854221733733552434404946937899825954937634816 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 7822218149124427/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))))
(if (<=.f64 re #s(literal -8454639274818441/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (sqrt.f64 (neg.f64 re)) (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(if (<=.f64 re #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (sqrt.f64 (neg.f64 re)) (sqrt.f64 re))
(sqrt.f64 re)
Outputs
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) #s(literal 0 binary64)) (*.f64 im (*.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 re im) re))))
(if (<=.f64 re #s(literal -1915619426082361/95780971304118053647396689196894323976171195136475136 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 4276979833124165/248661618204893321077691124073410420050228075398673858720231988446579748506266687766528 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) (*.f64 im (*.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))))
(if (<=.f64 re #s(literal -5639583590386471/24519928653854221733733552434404946937899825954937634816 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 7822218149124427/32592575621351777380295131014550050576823494298654980010178247189670100796213387298934358016 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))))
(if (<=.f64 re #s(literal -8454639274818441/862718293348820473429344482784628181556388621521298319395315527974912 binary64)) (sqrt.f64 (neg.f64 re)) (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(if (<=.f64 re #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (sqrt.f64 (neg.f64 re)) (sqrt.f64 re))
(sqrt.f64 re)

soundness1.5s (16.7%)

Memory
-14.2MiB live, 1 273.4MiB allocated
Rules
1 076×log1p-expm1-u
1 076×expm1-log1p-u
846×fma-define
762×fma-define
734×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031358
1493324
26531324
085032989
1249331389
023253
1306253
23128253
0142831204
1366528662
0193441440
1526540336
032505
1551493
27174493
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 536 to 249 computations (53.5% saved)

preprocess44.0ms (0.5%)

Memory
9.3MiB live, 86.5MiB allocated
Remove

(abs im)

Compiler

Compiled 304 to 172 computations (43.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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