math.sqrt on complex, real part

Time bar (total: 10.5s)

analyze168.0ms (1.6%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
62.5%62.4%37.5%0.1%0%0%0%5
62.5%62.4%37.5%0.1%0%0%0%6
68.8%68.7%31.2%0.1%0%0%0%7
68.8%68.7%31.2%0.1%0%0%0%8
71.9%71.8%28.1%0.1%0%0%0%9
71.9%71.8%28.1%0.1%0%0%0%10
73.4%73.4%26.5%0.1%0%0%0%11
73.4%73.4%26.5%0.1%0%0%0%12
Compiler

Compiled 17 to 14 computations (17.6% saved)

sample1.9s (17.9%)

Results
928.0ms6218×0valid
404.0ms1205×2valid
135.0ms224×3valid
103.0ms609×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 757.0ms (62.6% of total)
ival-add: 200.0ms (16.5% of total)
ival-sqrt: 183.0ms (15.1% of total)
adjust: 52.0ms (4.3% of total)
ival-true: 7.0ms (0.6% of total)
ival-assert: 5.0ms (0.4% of total)
...in/eval/compile.rkt:70:19: 5.0ms (0.4% of total)
Bogosity

preprocess93.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
250×fmm-def
205×fma-define
61×distribute-rgt-in
43×sub-neg
43×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042266
1121266
2213266
3331266
4529266
5732266
6939266
71141266
81234266
91244266
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 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 im im))) 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 (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) 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))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(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) re))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #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 re (hypot.f64 re im)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #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 im (hypot.f64 re im)))))
Symmetry

(abs im)

explain236.0ms (2.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1180-2(4.0830859357230805e-156 2.5114599921900754e-207)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
340-0-(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
291(-2.240796644990507e+238 7.9617390372297425e-205)1(-1.1224017519038612e-228 3.117845558878034e-271)(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 re re)
00-0-im
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-#s(literal 2 binary64)
00-0-(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
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-rescue1080
↳(+.f64 (*.f64 re re) (*.f64 im im))overflow108
↳(*.f64 re re)overflow67
↳(*.f64 im im)overflow58
+.f64(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)cancellation340
sqrt.f64(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))uflow-rescue290
↳(+.f64 (*.f64 re re) (*.f64 im im))underflow8
↳(*.f64 im im)underflow60
↳(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))underflow8
↳(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))underflow37
↳(*.f64 re re)underflow53
↳(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)underflow37
sqrt.f64(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))uflow-rescue80
↳(+.f64 (*.f64 re re) (*.f64 im im))underflow8
↳(*.f64 re re)underflow53
↳(*.f64 im im)underflow60
Confusion
Predicted +Predicted -
+1491
-0106
Precision
1.0
Recall
0.9933333333333333
Confusion?
Predicted +Predicted MaybePredicted -
+14901
-00106
Precision?
1.0
Recall?
0.9933333333333333
Freqs
test
numberfreq
0107
1119
230
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Results
45.0ms370×0valid
29.0ms88×2valid
11.0ms38×1valid
7.0ms16×3valid
Compiler

Compiled 188 to 52 computations (72.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 56.0ms
ival-mult: 22.0ms (39.4% of total)
ival-sqrt: 14.0ms (25.1% of total)
ival-add: 13.0ms (23.3% of total)
adjust: 6.0ms (10.8% of total)
ival-true: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶44.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
▶77.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
Compiler

Compiled 29 to 21 computations (27.6% saved)

simplify13.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓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))))
✓cost-diff0
(+.f64 re (hypot.f64 re im))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
Rules
6×*-commutative
6×fma-define
2×distribute-rgt-in
2×hypot-define
2×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023339
140339
248339
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
#s(literal 2 binary64)
(+.f64 re (hypot.f64 re im))
re
(hypot.f64 re im)
im
(*.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
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
#s(literal 2 binary64)
(+.f64 re (hypot.f64 re im))
re
(hypot.f64 re im)
im
(*.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 re (hypot.f64 re im)))))
#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 re (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
#s(literal 2 binary64)
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
(+.f64 re (hypot.f64 re im))
(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

localize103.0ms (1%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
✓accuracy90.2%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
✓accuracy87.6%
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
✓accuracy57.9%
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
✓accuracy90.2%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
✓accuracy87.6%
(+.f64 re (hypot.f64 re im))
Results
31.0ms185×0valid
22.0ms44×2valid
18.0ms8×3valid
6.0ms19×1valid
Compiler

Compiled 114 to 19 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
adjust: 14.0ms (26.7% of total)
ival-mult: 13.0ms (24.8% of total)
ival-add: 8.0ms (15.3% of total)
ival-hypot: 8.0ms (15.3% of total)
ival-sqrt: 8.0ms (15.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series84.0ms (0.8%)

Counts
9 → 216
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))>
#<alt (+.f64 re (hypot.f64 re im))>
#<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 (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 1/16 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 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 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 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 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)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 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)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 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)) (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 binary64)) (*.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)) (*.f64 (sqrt.f64 #s(literal -1 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 binary64)) (*.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) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 2 binary64)))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 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 -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 2 binary64))))) re))>
#<alt (*.f64 #s(literal 4 binary64) re)>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) re) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.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 5 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 2 binary64) im)>
#<alt (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))>
#<alt (*.f64 im (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 re im)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 im (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 re im)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) (*.f64 #s(literal 2 binary64) re)) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 re #s(literal 2 binary64))) im)) (*.f64 #s(literal 2 binary64) re)) im)))))>
#<alt im>
#<alt (+.f64 im re)>
#<alt (+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))>
#<alt (+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))))>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 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 -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re))>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 2 binary64) re))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) 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 (*.f64 #s(literal 2 binary64) 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 re im)))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im))))>
#<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 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) im))) im)))))>
#<alt im>
#<alt (+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))>
#<alt (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt re>
#<alt (+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt im>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))>
Calls

54 calls:

TimeVariablePointExpression
47.0ms
im
@-inf
(sqrt (+ (* re re) (* im im)))
2.0ms
re
@-inf
(* 1/2 (sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im)))))))
2.0ms
im
@0
(* 1/2 (sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im)))))))
2.0ms
re
@inf
(* 1/2 (sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im)))))))
2.0ms
im
@inf
(* 1/2 (sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im)))))))

rewrite423.0ms (4.1%)

Algorithm
1×batch-egg-rewrite
Rules
764×log1p-expm1-u
764×expm1-log1p-u
721×fma-define
359×fmm-def
192×expm1-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023253
1338253
23739253
Stop Event
1×node limit
Counts
9 → 295
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(+.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 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)
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
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 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1/2 binary64)))
(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 (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 (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 (*.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 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.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 1/4 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 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 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 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #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 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64))
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(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(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 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) re)))
(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 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re))) (-.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (-.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(/.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 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #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 (hypot.f64 re im) re))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (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)) (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #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 (hypot.f64 re im) re))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (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 (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)))
(fma.f64 #s(literal 2 binary64) re (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 #s(literal 2 binary64) re))
(fma.f64 re #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) re))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) re)) (cbrt.f64 (*.f64 #s(literal 2 binary64) re))) (cbrt.f64 (*.f64 #s(literal 2 binary64) re)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 re)) (sqrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))
(-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im))) (/.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im))))
(*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.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 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #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 (hypot.f64 re im) re)))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 re (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #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 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re (hypot.f64 re im)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #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 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (-.f64 (hypot.f64 re im) re))
(/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #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 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #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 (hypot.f64 re im) re)))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (neg.f64 (-.f64 re (hypot.f64 re im))))
(pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 re (hypot.f64 re im)))))
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1 binary64) (hypot.f64 re im))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) re)
(fma.f64 #s(literal 1 binary64) re (hypot.f64 re im))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) re)
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) re)
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) re)
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)
(fma.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) 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)) re)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (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)))) 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 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 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)))

simplify485.0ms (4.6%)

Algorithm
1×egg-herbie
Rules
789×fma-define
670×associate-*r*
559×associate-*l*
388×distribute-rgt-in
386×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081430033
1239128525
Stop Event
1×node limit
Counts
511 → 480
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
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(*.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 (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 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 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 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #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 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(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 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) re)))
(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 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re))) (-.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (-.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(/.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 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #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 (hypot.f64 re im) re))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (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)) (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #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 (hypot.f64 re im) re))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (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 (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)))
(fma.f64 #s(literal 2 binary64) re (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 #s(literal 2 binary64) re))
(fma.f64 re #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) re))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) re)) (cbrt.f64 (*.f64 #s(literal 2 binary64) re))) (cbrt.f64 (*.f64 #s(literal 2 binary64) re)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 re)) (sqrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))
(-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im))) (/.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im))))
(*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.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 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #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 (hypot.f64 re im) re)))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 re (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #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 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re (hypot.f64 re im)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #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 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (-.f64 (hypot.f64 re im) re))
(/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #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 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #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 (hypot.f64 re im) re)))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (neg.f64 (-.f64 re (hypot.f64 re im))))
(pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 re (hypot.f64 re im)))))
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1 binary64) (hypot.f64 re im))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) re)
(fma.f64 #s(literal 1 binary64) re (hypot.f64 re im))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) re)
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) re)
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) re)
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)
(fma.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) 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)) re)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (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)))) 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 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 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)))
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eval65.0ms (0.6%)

Compiler

Compiled 12164 to 2418 computations (80.1% saved)

prune74.0ms (0.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New4719480
Fresh000
Picked112
Done000
Total47210482
Accuracy
86.8%
Counts
482 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶25.2%
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
▶77.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64))))
72.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))))
16.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
▶50.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
49.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
✓44.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
7.3%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
▶52.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
▶77.5%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
Compiler

Compiled 229 to 166 computations (27.5% saved)

simplify26.0ms (0.3%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 re (hypot.f64 re im))
✓cost-diff0
(sqrt.f64 (+.f64 re (hypot.f64 re im)))
✓cost-diff0
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff0
(/.f64 re im)
✓cost-diff0
(+.f64 #s(literal 2 binary64) (/.f64 re im))
✓cost-diff0
(*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))
✓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
(sqrt.f64 re)
✓cost-diff128
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
✓cost-diff0
(hypot.f64 re im)
cost-diff0
(+.f64 re (hypot.f64 re im))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
Rules
30×fma-define
15×*-commutative
8×+-commutative
6×distribute-rgt-in
6×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032584
173584
2114584
3135584
4139584
Stop Event
1×saturated
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))
#s(literal 1/2 binary64)
(+.f64 re (hypot.f64 re im))
re
(hypot.f64 re im)
im
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
#s(literal 1 binary64)
(sqrt.f64 re)
re
(*.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 #s(literal 2 binary64) (/.f64 re im))))))
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(*.f64 #s(literal 2 binary64) im)
#s(literal 2 binary64)
im
(*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))
re
(+.f64 #s(literal 2 binary64) (/.f64 re im))
(/.f64 re im)
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.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)))
(sqrt.f64 (+.f64 re (hypot.f64 re im)))
(+.f64 re (hypot.f64 re im))
re
(hypot.f64 re im)
im
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))
#s(literal 1/2 binary64)
(+.f64 re (hypot.f64 re im))
re
(hypot.f64 re im)
im
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(sqrt.f64 re)
#s(literal 1 binary64)
(sqrt.f64 re)
re
(*.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)
(+.f64 re im)
im
re
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
#s(literal 1/2 binary64)
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
(sqrt.f64 (fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
(sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.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 #s(literal 2 binary64) (/.f64 re im)))
re
(+.f64 #s(literal 2 binary64) (/.f64 re im))
(/.f64 re im)
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.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)))
(sqrt.f64 (+.f64 re (hypot.f64 re im)))
(+.f64 re (hypot.f64 re im))
re
(hypot.f64 re im)
im
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize254.0ms (2.4%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 (+.f64 re (hypot.f64 re im)))
✓accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
accuracy100.0%
(+.f64 re (hypot.f64 re im))
✓accuracy99.7%
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
✓accuracy100.0%
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
✓accuracy99.9%
(*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))
✓accuracy92.3%
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
✓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 #s(literal 1 binary64) (sqrt.f64 re))
✓accuracy100.0%
(sqrt.f64 re)
✓accuracy100.0%
(hypot.f64 re im)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
accuracy100.0%
(+.f64 re (hypot.f64 re im))
Results
132.0ms135×0invalid
80.0ms121×0valid
Compiler

Compiled 161 to 28 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 13.0ms (37% of total)
ival-sqrt: 9.0ms (25.6% of total)
ival-add: 5.0ms (14.2% of total)
ival-hypot: 5.0ms (14.2% of total)
ival-div: 2.0ms (5.7% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series77.0ms (0.7%)

Counts
20 → 356
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))>
#<alt (hypot.f64 re im)>
#<alt (*.f64 #s(literal 1 binary64) (sqrt.f64 re))>
#<alt (sqrt.f64 re)>
#<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 #s(literal 2 binary64) (/.f64 re im)))>
#<alt (+.f64 #s(literal 2 binary64) (/.f64 re im))>
#<alt (/.f64 re im)>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (sqrt.f64 (+.f64 re (hypot.f64 re im)))>
#<alt (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))>
#<alt (sqrt.f64 #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 1/8 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (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 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))) (+.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 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 3 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 (sqrt.f64 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 -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
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#<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 1/4 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 (*.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 -1/8 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 (*.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 #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 -1/4 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 (*.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))))))))>
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#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/2 binary64) re))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 re im)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 re (+.f64 #s(literal 1/2 binary64) (*.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)))))))>
#<alt re>
#<alt (*.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 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 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))))))))>
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#<alt re>
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#<alt (*.f64 #s(literal 1/2 binary64) im)>
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#<alt (*.f64 im (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))>
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#<alt (*.f64 #s(literal -1/2 binary64) im)>
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#<alt im>
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#<alt (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt re>
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#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) re)>
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#<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>
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#<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>
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#<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)>
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#<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))))))))>
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#<alt (sqrt.f64 re)>
#<alt (sqrt.f64 re)>
#<alt (sqrt.f64 re)>
#<alt (sqrt.f64 re)>
#<alt (sqrt.f64 re)>
#<alt (sqrt.f64 re)>
#<alt (sqrt.f64 re)>
#<alt (sqrt.f64 re)>
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#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))))))))>
#<alt (*.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 5 binary64)))) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 im) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 im) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))))))))>
#<alt (*.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.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)) (/.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (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 1/2 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 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (*.f64 re (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 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))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) re))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 im) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) im) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (/.f64 #s(literal 1 binary64) re))))))>
#<alt (*.f64 re (+.f64 (*.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) (pow.f64 re #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 im) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) im) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (/.f64 #s(literal 1 binary64) re)))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) re))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (/.f64 #s(literal 1 binary64) re))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 im)) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 im) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) im) re)))) re)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))>
#<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 (pow.f64 im #s(literal 3 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) im) re))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 im) (-.f64 (*.f64 #s(literal 2 binary64) im) im)))) 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

105 calls:

TimeVariablePointExpression
9.0ms
re
@-inf
(sqrt (+ re (sqrt (+ (* re re) (* im im)))))
4.0ms
im
@-inf
(* 1/2 (sqrt (* 2 (+ im re))))
2.0ms
re
@-inf
(* 1 (sqrt re))
2.0ms
re
@-inf
(* 2 (+ im re))
2.0ms
re
@-inf
(* 1/2 (sqrt (* 2 (+ im re))))

rewrite294.0ms (2.8%)

Algorithm
1×batch-egg-rewrite
Rules
733×log1p-expm1-u
235×expm1-log1p-u
232×add-cube-cbrt
231×add-exp-log
231×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032475
1541475
27256475
Stop Event
1×node limit
Counts
20 → 478
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))
(hypot.f64 re im)
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(sqrt.f64 re)
(*.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 #s(literal 2 binary64) (/.f64 re im)))
(+.f64 #s(literal 2 binary64) (/.f64 re im))
(/.f64 re im)
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (+.f64 re (hypot.f64 re im)))
(sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(sqrt.f64 #s(literal 2 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 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 1/2 binary64) (+.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 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (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)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 1/2 binary64) re))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im))) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re)) (*.f64 (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im)))) (-.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im))))
(/.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)))) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (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 1/2 binary64)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (-.f64 re (hypot.f64 re im)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 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 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 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 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) re (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im)))
(fma.f64 re #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (hypot.f64 re im)))
(-.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 (sqrt.f64 re))) #s(literal 1 binary64))
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(*.f64 (cbrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))))
(*.f64 (+.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (-.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (*.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 #s(literal 2 binary64) (/.f64 re im))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))) (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))) (cbrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.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 #s(literal 2 binary64) (/.f64 re im))) (-.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (*.f64 im #s(literal 2 binary64))))) (+.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 im #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (-.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (*.f64 im #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 2 binary64))) (-.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 3 binary64)) (*.f64 #s(literal 8 binary64) (pow.f64 im #s(literal 3 binary64))))) (neg.f64 (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (-.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (*.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 #s(literal 2 binary64) (/.f64 re im))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (*.f64 im #s(literal 2 binary64))))
(pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))
(fma.f64 im #s(literal 2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 #s(literal 1 binary64) (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 re im)) re (*.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 im #s(literal 2 binary64))) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 (sqrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) (sqrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) (*.f64 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 #s(literal 2 binary64) (/.f64 re im))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.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 #s(literal 2 binary64) (/.f64 re im)) (*.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 #s(literal 2 binary64) (/.f64 re im)) (*.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 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.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 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))

simplify1.2s (11.1%)

Algorithm
1×egg-herbie
Rules
763×*-commutative
527×times-frac
333×+-commutative
286×associate-*r*
261×fma-define
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0201843974
1585742768
Stop Event
1×node limit
Counts
834 → 1090
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 1/8 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (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 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))) (+.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 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 3 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(/.f64 (-.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (*.f64 im #s(literal 2 binary64))))
(pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))
(fma.f64 im #s(literal 2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 #s(literal 1 binary64) (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 re im)) re (*.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 im #s(literal 2 binary64))) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 (sqrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) (sqrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) (*.f64 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 #s(literal 2 binary64) (/.f64 re im))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.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 #s(literal 2 binary64) (/.f64 re im)) (*.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 #s(literal 2 binary64) (/.f64 re im)) (*.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 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.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 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #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 1/8 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (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 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (*.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 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 re (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 re (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (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 9 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 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 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 re (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (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 9 binary64))))) (fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))
(*.f64 re (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (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 9 binary64))))) (fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (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 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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)) (*.f64 (sqrt.f64 #s(literal -1 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 im (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (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 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 re))) (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64))) (*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 re))) (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64))))
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(/.f64 (-.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64))) (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (neg.f64 (*.f64 im #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) #s(literal 2 binary64)) (*.f64 #s(literal -4 binary64) (pow.f64 im #s(literal 2 binary64)))) (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 #s(literal -2 binary64) im)))
(pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))
(fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))
(pow.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(fabs.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))
(log.f64 (exp.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))))
(fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))
(exp.f64 (log.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))
(fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))
(fma.f64 im #s(literal 2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 #s(literal 1 binary64) (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 im #s(literal 2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 #s(literal 1 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) im (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 im #s(literal 2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 (+.f64 #s(literal 2 binary64) (/.f64 re im)) re (*.f64 im #s(literal 2 binary64)))
(fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 im #s(literal 2 binary64))) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 im #s(literal 2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 (sqrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) (sqrt.f64 (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))) (*.f64 im #s(literal 2 binary64)))
(fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 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 #s(literal 2 binary64) (/.f64 re im))))
(fma.f64 im #s(literal 2 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.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 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.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 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.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 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)) (*.f64 im #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(sqrt.f64 #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 #s(literal 2 binary64))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 2 binary64))

eval186.0ms (1.8%)

Compiler

Compiled 33784 to 5811 computations (82.8% saved)

prune191.0ms (1.8%)

Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1360101370
Fresh404
Picked325
Done011
Total1367131380
Accuracy
86.8%
Counts
1380 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.8%
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
▶76.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
51.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 #s(literal 2 binary64))))
16.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (sqrt.f64 #s(literal 2 binary64))))
✓50.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
✓44.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
49.6%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
✓77.5%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
7.3%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re))))
▶52.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
▶16.1%
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
▶25.2%
(sqrt.f64 re)
▶23.6%
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
Compiler

Compiled 229 to 180 computations (21.4% saved)

simplify24.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 15 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
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
✓cost-diff0
(log.f64 re)
✓cost-diff0
(*.f64 (log.f64 re) #s(literal 1/2 binary64))
✓cost-diff6528
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
✓cost-diff0
(+.f64 re im)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (+.f64 re im))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
cost-diff0
(sqrt.f64 re)
✓cost-diff0
(cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))
✓cost-diff12864
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
✓cost-diff12864
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff12864
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
Rules
40×associate-*r*
29×*-commutative
24×associate-*l*
6×fma-define
3×exp-prod
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031415
160415
296415
3159415
4183415
5188415
6189415
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(sqrt.f64 (+.f64 re (hypot.f64 re im)))
(+.f64 re (hypot.f64 re im))
re
(hypot.f64 re im)
im
#s(literal 3 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 re)
re
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
(*.f64 #s(literal 1/2 binary64) (+.f64 re im))
#s(literal 1/2 binary64)
(+.f64 re im)
re
im
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
(*.f64 (log.f64 re) #s(literal 1/2 binary64))
(log.f64 re)
re
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
#s(literal -1/4 binary64)
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
re
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(sqrt.f64 (+.f64 re (hypot.f64 re im)))
(cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(sqrt.f64 (+.f64 re (hypot.f64 re im)))
(+.f64 re (hypot.f64 re im))
re
(hypot.f64 re im)
im
#s(literal 3 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 re)
re
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
(*.f64 #s(literal 1/2 binary64) (+.f64 re im))
#s(literal 1/2 binary64)
(+.f64 re im)
re
im
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
(sqrt.f64 re)
(*.f64 (log.f64 re) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (log.f64 re))
(log.f64 re)
re
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
#s(literal -1/4 binary64)
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
re

localize453.0ms (4.3%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(pow.f64 im #s(literal 2 binary64))
✓accuracy100.0%
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
✓accuracy100.0%
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
✓accuracy100.0%
(*.f64 (log.f64 re) #s(literal 1/2 binary64))
✓accuracy100.0%
(log.f64 re)
✓accuracy100.0%
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
✓accuracy100.0%
(+.f64 re im)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (+.f64 re im))
✓accuracy100.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
accuracy100.0%
(sqrt.f64 re)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
accuracy100.0%
(sqrt.f64 (+.f64 re (hypot.f64 re im)))
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy100.0%
(cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))
Results
404.0ms256×0invalid
Compiler

Compiled 125 to 27 computations (78.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-sqrt: 12.0ms (27.2% of total)
ival-pow: 9.0ms (20.4% of total)
ival-mult: 8.0ms (18.1% of total)
ival-hypot: 5.0ms (11.3% of total)
ival-add: 3.0ms (6.8% of total)
ival-div: 2.0ms (4.5% of total)
ival-exp: 2.0ms (4.5% of total)
ival-cbrt: 2.0ms (4.5% of total)
ival-log: 2.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series108.0ms (1%)

Counts
14 → 224
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))>
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))>
#<alt (*.f64 #s(literal 1/2 binary64) (+.f64 re im))>
#<alt (+.f64 re im)>
#<alt (exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))>
#<alt (*.f64 (log.f64 re) #s(literal 1/2 binary64))>
#<alt (log.f64 re)>
#<alt (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (*.f64 #s(literal -1/4 binary64) (/.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))>
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 1/16 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 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 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 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 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)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 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)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 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)) (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 binary64)) (*.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)) (*.f64 (sqrt.f64 #s(literal -1 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 binary64)) (*.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 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 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 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.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 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re))) (+.f64 (*.f64 #s(literal 1/1024 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 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 3 binary64)))))) (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 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 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.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) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (*.f64 #s(literal 1/4 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 -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.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))))))>
#<alt (*.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)) (sqrt.f64 #s(literal 2 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 (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)))))))>
#<alt (*.f64 im (+.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 (*.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))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.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))))))))>
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#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
Calls

72 calls:

TimeVariablePointExpression
30.0ms
re
@0
(* (log re) 1/2)
19.0ms
re
@-inf
(* (log re) 1/2)
8.0ms
re
@inf
(* (log re) 1/2)
6.0ms
re
@inf
(cbrt (sqrt (+ re (sqrt (+ (* re re) (* im im))))))
5.0ms
re
@inf
(sqrt (* 1/2 (+ re im)))

rewrite231.0ms (2.2%)

Algorithm
1×batch-egg-rewrite
Rules
1209×log1p-expm1-u
346×expm1-log1p-u
188×add-exp-log
188×pow1
185×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030304
1446288
25704288
Stop Event
1×node limit
Counts
14 → 330
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
(*.f64 #s(literal 1/2 binary64) (+.f64 re im))
(+.f64 re im)
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
(*.f64 (log.f64 re) #s(literal 1/2 binary64))
(log.f64 re)
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 #s(literal -1/4 binary64) (/.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))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/4 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64)) (cbrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im)))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64))) (cbrt.f64 (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64))) (*.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64))) (cbrt.f64 (+.f64 re (hypot.f64 re im)))))
(*.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 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64))) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64)) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (sqrt.f64 (-.f64 re (hypot.f64 re im))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))))
(sqrt.f64 (+.f64 re (hypot.f64 re im)))
(fabs.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))))))
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))))
(hypot.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
(hypot.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))))
(log.f64 (exp.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 re im)))
(*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.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 1/2 binary64) (+.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) im))
(+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/2 binary64) re))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) re) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) im) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) re)) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 1/2 binary64) im)) (*.f64 (*.f64 #s(literal 1/2 binary64) re) (*.f64 #s(literal 1/2 binary64) im)))))
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(neg.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re))
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #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 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) im))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) im))
(*.f64 (*.f64 im (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))

simplify243.0ms (2.3%)

Algorithm
1×egg-herbie
Rules
485×*-commutative
477×distribute-lft-in
475×distribute-rgt-in
308×associate-+r+
232×associate-*r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0138425929
1371424600
Stop Event
1×node limit
Counts
554 → 702
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 1/16 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 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 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)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 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)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 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)) (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 binary64)) (*.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)) (*.f64 (sqrt.f64 #s(literal -1 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 binary64)) (*.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 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 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 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.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 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re))) (+.f64 (*.f64 #s(literal 1/1024 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 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 3 binary64)))))) (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 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 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.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) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (*.f64 #s(literal 1/4 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 -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))))
(*.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 1/8 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 (*.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 -1/16 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 (*.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 #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 -1/8 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 (*.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 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 1/2 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 1/8 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 (sqrt.f64 im) (sqrt.f64 #s(literal 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 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 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 2 binary64)))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 re (+.f64 (*.f64 #s(literal 1/4 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 2 binary64)) #s(literal 2 binary64)))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 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 2 binary64)) #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 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 2 binary64)) #s(literal 2 binary64)))))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.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 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re)))) (cbrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(*.f64 (cbrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re)))))
(*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re)))
(*.f64 (/.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (sqrt.f64 re))
(pow.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 #s(literal -1/4 binary64))) (/.f64 im (sqrt.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) #s(literal 1 binary64))
(/.f64 #s(literal -1/4 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 re (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) re)
(/.f64 (neg.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)))) (neg.f64 re))
(/.f64 (*.f64 #s(literal -1/4 binary64) (neg.f64 (pow.f64 im #s(literal 2 binary64)))) (neg.f64 re))
(/.f64 (*.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal -1/4 binary64)) (neg.f64 re))
(/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) re)
(/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re))
(/.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 re)) (sqrt.f64 re))
(pow.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 3 binary64))
(pow.f64 (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/16 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal -1/4 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 1 binary64))
(*.f64 im (/.f64 im re))
(*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) re))
(*.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))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) re)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (/.f64 im (sqrt.f64 re)) (/.f64 im (sqrt.f64 re)))
(*.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (/.f64 im #s(literal 1 binary64)) (/.f64 im re))
(*.f64 (/.f64 im (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (/.f64 im (cbrt.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (cbrt.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 re)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (sqrt.f64 re)) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (sqrt.f64 re)))
(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 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 3 binary64)) #s(literal 1/3 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))
(neg.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re))
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #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 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) im))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) im))
(*.f64 (*.f64 im (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 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 (*.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 1/16 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 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 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) (*.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))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
(*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 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)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 re (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 re (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) #s(literal 2 binary64))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 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)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(*.f64 re (fma.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 re (fma.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) #s(literal 2 binary64)))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 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)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))
(*.f64 re (fma.f64 #s(literal -1/32 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))) (fma.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(*.f64 re (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (+.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64))))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.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 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(pow.f64 (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/16 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal -1/4 binary64) re) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/16 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal -1/4 binary64)))
(*.f64 (/.f64 #s(literal -1/4 binary64) re) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(*.f64 (/.f64 #s(literal -1/4 binary64) re) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal -1/4 binary64) re) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(*.f64 (/.f64 #s(literal -1/4 binary64) re) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(exp.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(*.f64 (/.f64 #s(literal -1/4 binary64) re) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1/4 binary64) re) (pow.f64 im #s(literal 2 binary64)))
(*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 im (/.f64 im re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1 binary64))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) re)))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (/.f64 im (sqrt.f64 re)) (/.f64 im (sqrt.f64 re)))
(pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 2 binary64))
(*.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 re)))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(*.f64 (/.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(*.f64 (/.f64 im #s(literal 1 binary64)) (/.f64 im re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(*.f64 (/.f64 im (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (/.f64 im (cbrt.f64 re)))
(/.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (cbrt.f64 re)))
(*.f64 (/.f64 im (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (/.f64 im (cbrt.f64 re)))
(/.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 re)))
(pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 2 binary64))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (/.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (sqrt.f64 re)) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (sqrt.f64 re)))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1 binary64))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(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))
(/.f64 #s(literal 1 binary64) (/.f64 re (pow.f64 im #s(literal 2 binary64))))
(neg.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(neg.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(/.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))))
(/.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)))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(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)))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(exp.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1 binary64)))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(*.f64 im im)
(pow.f64 im #s(literal 2 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 im #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(pow.f64 im #s(literal 2 binary64))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) im))
(pow.f64 im #s(literal 2 binary64))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) im))
(pow.f64 im #s(literal 2 binary64))
(*.f64 (*.f64 im (sqrt.f64 im)) (sqrt.f64 im))
(pow.f64 im #s(literal 2 binary64))
(*.f64 (*.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(pow.f64 im #s(literal 2 binary64))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(pow.f64 im #s(literal 2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))
(pow.f64 im #s(literal 2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)))
(pow.f64 im #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 im)) #s(literal 1 binary64)))
(pow.f64 im #s(literal 2 binary64))

eval169.0ms (1.6%)

Compiler

Compiled 19464 to 3478 computations (82.1% saved)

prune120.0ms (1.2%)

Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New8007807
Fresh235
Picked145
Done033
Total80317820
Accuracy
93.7%
Counts
820 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.8%
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
▶51.6%
(*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 #s(literal 1/2 binary64)))
17.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
18.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓76.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
▶48.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓50.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
✓44.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
▶49.6%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
✓77.5%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
7.3%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re))))
✓52.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
16.1%
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 im im) re)))
▶19.9%
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re))))
▶19.9%
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))))
✓25.2%
(sqrt.f64 re)
✓23.6%
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
Compiler

Compiled 320 to 252 computations (21.3% saved)

simplify25.0ms (0.2%)

Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cbrt.f64 (sqrt.f64 im))
✓cost-diff12864
(pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64))
✓cost-diff12864
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓cost-diff12864
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓cost-diff128
(*.f64 im (/.f64 #s(literal 1 binary64) re))
✓cost-diff128
(*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))
✓cost-diff128
(*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re))))
✓cost-diff128
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))))
✓cost-diff0
(/.f64 im re)
✓cost-diff0
(*.f64 im (/.f64 im re))
✓cost-diff0
(*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re)))
✓cost-diff0
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re))))
✓cost-diff0
(*.f64 im #s(literal 1/2 binary64))
✓cost-diff0
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
✓cost-diff0
(sqrt.f64 #s(literal 1/2 binary64))
cost-diff0
(+.f64 re im)
✓cost-diff0
(sqrt.f64 (+.f64 re im))
✓cost-diff0
(*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 #s(literal 1/2 binary64)))
Rules
61×associate-*r*
42×associate-*l*
26×*-commutative
6×associate-*r/
5×*-rgt-identity
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034401
163401
2112401
3198401
4223401
5223401
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 re im))
(+.f64 re im)
re
im
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 im #s(literal 1/2 binary64))
im
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re))))
(*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re)))
#s(literal -1/4 binary64)
(*.f64 im (/.f64 im re))
im
(/.f64 im re)
re
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))))
(*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re))))
#s(literal -1/4 binary64)
(*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))
im
(*.f64 im (/.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64))
(cbrt.f64 (sqrt.f64 im))
(sqrt.f64 im)
im
#s(literal 3 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 re im))
(+.f64 re im)
re
im
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 im #s(literal 1/2 binary64))
im
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re))))
(sqrt.f64 (*.f64 im (*.f64 im (/.f64 #s(literal -1/4 binary64) re))))
(*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re)))
(*.f64 im (*.f64 im (/.f64 #s(literal -1/4 binary64) re)))
#s(literal -1/4 binary64)
(*.f64 im (/.f64 im re))
im
(/.f64 im re)
re
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))))
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re))))
(sqrt.f64 (*.f64 im (*.f64 im (/.f64 #s(literal -1/4 binary64) re))))
(*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re)))
(*.f64 im (*.f64 im (/.f64 #s(literal -1/4 binary64) re)))
#s(literal -1/4 binary64)
(*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (/.f64 im re))
im
(*.f64 im (/.f64 #s(literal 1 binary64) re))
(/.f64 im re)
(/.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64))
(sqrt.f64 im)
(cbrt.f64 (sqrt.f64 im))
(sqrt.f64 im)
im
#s(literal 3 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)

localize107.0ms (1%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(sqrt.f64 #s(literal 2 binary64))
✓accuracy99.8%
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
✓accuracy99.8%
(cbrt.f64 (sqrt.f64 im))
✓accuracy99.7%
(pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64))
✓accuracy100.0%
(*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re))))
✓accuracy100.0%
(*.f64 im (/.f64 #s(literal 1 binary64) re))
✓accuracy100.0%
(*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))
✓accuracy93.4%
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))))
✓accuracy100.0%
(/.f64 im re)
✓accuracy100.0%
(*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re)))
✓accuracy100.0%
(*.f64 im (/.f64 im re))
✓accuracy93.4%
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re))))
✓accuracy100.0%
(*.f64 im #s(literal 1/2 binary64))
✓accuracy100.0%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
accuracy100.0%
(+.f64 re im)
✓accuracy100.0%
(sqrt.f64 (+.f64 re im))
✓accuracy100.0%
(sqrt.f64 #s(literal 1/2 binary64))
✓accuracy99.8%
(*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 #s(literal 1/2 binary64)))
Results
58.0ms193×0invalid
16.0ms63×0valid
Compiler

Compiled 128 to 30 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 23.0ms (48.1% of total)
ival-sqrt: 11.0ms (23% of total)
ival-div: 5.0ms (10.5% of total)
ival-pow: 4.0ms (8.4% of total)
ival-add: 2.0ms (4.2% of total)
ival-cbrt: 2.0ms (4.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series42.0ms (0.4%)

Counts
17 → 288
Calls
Call 1
Inputs
#<alt (*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (sqrt.f64 (+.f64 re im))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))>
#<alt (*.f64 im #s(literal 1/2 binary64))>
#<alt (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re))))>
#<alt (*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re)))>
#<alt (*.f64 im (/.f64 im re))>
#<alt (/.f64 im re)>
#<alt (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))))>
#<alt (*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (/.f64 #s(literal 1 binary64) re))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64))>
#<alt (cbrt.f64 (sqrt.f64 im))>
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 -1/8 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (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) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (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)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #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 1/2 binary64) (*.f64 (*.f64 im (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)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #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 1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 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 (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)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (*.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 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 (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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (*.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 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 (*.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 4 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 (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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 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)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 re) (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)) (sqrt.f64 #s(literal 1/2 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)))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))))))) (*.f64 (sqrt.f64 re) (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 -1/8 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 1/2 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 -1/8 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 (*.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 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 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 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 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 (*.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 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 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (sqrt.f64 im)>
#<alt (+.f64 (sqrt.f64 im) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) re)))>
#<alt (+.f64 (sqrt.f64 im) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) re)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))>
#<alt (+.f64 (sqrt.f64 im) (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) re)))))))>
#<alt (sqrt.f64 re)>
#<alt (*.f64 re (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))))>
#<alt (*.f64 re (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 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) (pow.f64 re #s(literal 3 binary64)))))))))>
#<alt (*.f64 re (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 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 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal -1 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)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal -1 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)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 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)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))))))>
#<alt (sqrt.f64 re)>
#<alt (+.f64 (sqrt.f64 re) (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (sqrt.f64 re) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))>
#<alt (+.f64 (sqrt.f64 re) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))))))))>
#<alt (sqrt.f64 im)>
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#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (sqrt.f64 im)>
#<alt (sqrt.f64 im)>
#<alt (sqrt.f64 im)>
#<alt (sqrt.f64 im)>
#<alt (sqrt.f64 im)>
#<alt (sqrt.f64 im)>
#<alt (sqrt.f64 im)>
#<alt (sqrt.f64 im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/6 binary64))>
#<alt (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/6 binary64))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))>
Calls

78 calls:

TimeVariablePointExpression
8.0ms
im
@0
(cbrt (sqrt im))
7.0ms
im
@inf
(cbrt (sqrt im))
3.0ms
im
@-inf
(sqrt (* im 1/2))
2.0ms
im
@-inf
(cbrt (sqrt im))
1.0ms
im
@-inf
(* 1/2 (* (pow (cbrt (sqrt im)) 3) (sqrt 2)))

rewrite210.0ms (2%)

Algorithm
1×batch-egg-rewrite
Rules
981×log1p-expm1-u
613×prod-diff
200×associate-*r*
175×expm1-log1p-u
173×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034321
1510289
25223289
Stop Event
1×node limit
Counts
17 → 406
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 (+.f64 re im))
(sqrt.f64 #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 im #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re))))
(*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re)))
(*.f64 im (/.f64 im re))
(/.f64 im re)
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))))
(*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (/.f64 #s(literal 1 binary64) re))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64))
(cbrt.f64 (sqrt.f64 im))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re im) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re im) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re im) #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 re im) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (+.f64 re im) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (+.f64 re im) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (+.f64 re im) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 re im) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re im) #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (+.f64 re im) #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 re im) #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (+.f64 re im) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (+.f64 re im) #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (+.f64 re im) #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re im) #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 re im) #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 re im)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (+.f64 re im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 re im)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 re im))) (cbrt.f64 (+.f64 re im)))
(*.f64 (cbrt.f64 (+.f64 re im)) (cbrt.f64 (sqrt.f64 (+.f64 re im))))
(*.f64 (pow.f64 (+.f64 re im) #s(literal 1/4 binary64)) (pow.f64 (+.f64 re im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 re im)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 re im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (+.f64 re im)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 re im)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (+.f64 re im))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (sqrt.f64 (-.f64 re im)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 re re (*.f64 im (-.f64 im re)))))
(pow.f64 (+.f64 re im) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (+.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (+.f64 re im) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (+.f64 re im)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (+.f64 re im)))))
(cbrt.f64 (pow.f64 (+.f64 re im) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 re im))))
(hypot.f64 (sqrt.f64 im) (sqrt.f64 re))
(hypot.f64 (sqrt.f64 re) (sqrt.f64 im))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 re im))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 re im))))
(exp.f64 (*.f64 (log.f64 (+.f64 re im)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 re im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 im))
(*.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 1/6 binary64)) (*.f64 (cbrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))))
(*.f64 (cbrt.f64 im) (*.f64 (pow.f64 im #s(literal 1/6 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 im #s(literal 1/4 binary64)) (*.f64 (pow.f64 im #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 im) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 im) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re))))) #s(literal 1 binary64))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re)))) (cbrt.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) re)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) re)) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re)))))
(*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re)))
(*.f64 (/.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal -1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re)))) (sqrt.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 im #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 im re)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) re))))
(*.f64 (sqrt.f64 (*.f64 im #s(literal -1/4 binary64))) (sqrt.f64 (/.f64 im re)))
(pow.f64 (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))) re) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) (/.f64 im (sqrt.f64 re)))) #s(literal 3 binary64))
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(pow.f64 (cbrt.f64 (/.f64 im re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 im re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 im re)) #s(literal 2 binary64))
(pow.f64 (/.f64 re im) #s(literal -1 binary64))
(neg.f64 (/.f64 im (neg.f64 re)))
(neg.f64 (/.f64 (neg.f64 im) re))
(sqrt.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 im re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 im re))))
(cbrt.f64 (pow.f64 (/.f64 im re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 im re)))
(log1p.f64 (expm1.f64 (/.f64 im re)))
(exp.f64 (log.f64 (/.f64 im re)))
(exp.f64 (*.f64 (log.f64 (/.f64 im re)) #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 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 1/2 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))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))
(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 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 im #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)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 im))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 im))
(*.f64 (sqrt.f64 im) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 1/6 binary64)) (cbrt.f64 im))
(*.f64 (cbrt.f64 (cbrt.f64 im)) (*.f64 (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))) (cbrt.f64 im)))
(*.f64 (cbrt.f64 im) (pow.f64 im #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64)) (cbrt.f64 im)))
(*.f64 (pow.f64 im #s(literal 1/4 binary64)) (pow.f64 im #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 im))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (pow.f64 im #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 im) #s(literal 1 binary64)) (pow.f64 im #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 im) (cbrt.f64 (cbrt.f64 im))) (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))))
(*.f64 (*.f64 (cbrt.f64 im) (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64))) (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64)))
(sqrt.f64 im)
(fabs.f64 (sqrt.f64 im))
(log.f64 (exp.f64 (sqrt.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 im))))
(cbrt.f64 (pow.f64 im #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 im)))
(log1p.f64 (expm1.f64 (sqrt.f64 im)))
(exp.f64 (log.f64 (sqrt.f64 im)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 1/6 binary64)))
(*.f64 (pow.f64 im #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 im)))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 im)) (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 im #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 im #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(pow.f64 im #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 im #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 im))
(log.f64 (exp.f64 (pow.f64 im #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 im #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 im)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 im #s(literal 1/6 binary64))) #s(literal 1 binary64)))

simplify752.0ms (7.2%)

Algorithm
1×egg-herbie
Rules
427×*-commutative
382×fma-define
335×distribute-lft-neg-in
323×unsub-neg
314×neg-sub0
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
086818435
1191818041
2526917979
Stop Event
1×node limit
Counts
694 → 526
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 -1/8 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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (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) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (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)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #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 1/2 binary64) (*.f64 (*.f64 im (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)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #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 1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 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 (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)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -1 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 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 (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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 #s(literal -1 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 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 (*.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 4 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 (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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))
(*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 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)) (sqrt.f64 #s(literal 1/2 binary64)))))) (*.f64 (sqrt.f64 re) (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)) (sqrt.f64 #s(literal 1/2 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)))) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))))))) (*.f64 (sqrt.f64 re) (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 -1/8 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 1/2 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 -1/8 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 (*.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 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 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 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 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 (*.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 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 (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))
(sqrt.f64 im)
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(/.f64 #s(literal 1 binary64) (/.f64 re im))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 re im) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 re im)))
(/.f64 (/.f64 im (sqrt.f64 re)) (sqrt.f64 re))
(/.f64 (neg.f64 im) (neg.f64 re))
(/.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 re)))
(/.f64 (/.f64 im #s(literal 1 binary64)) re)
(/.f64 (/.f64 im (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re))
(/.f64 (*.f64 im #s(literal -1 binary64)) (neg.f64 re))
(pow.f64 (/.f64 im re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 im re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 im re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 im re)) #s(literal 2 binary64))
(pow.f64 (/.f64 re im) #s(literal -1 binary64))
(neg.f64 (/.f64 im (neg.f64 re)))
(neg.f64 (/.f64 (neg.f64 im) re))
(sqrt.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 im re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 im re))))
(cbrt.f64 (pow.f64 (/.f64 im re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 im re)))
(log1p.f64 (expm1.f64 (/.f64 im re)))
(exp.f64 (log.f64 (/.f64 im re)))
(exp.f64 (*.f64 (log.f64 (/.f64 im re)) #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 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 1/2 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))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))
(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 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 im #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)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 im))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 im))
(*.f64 (sqrt.f64 im) #s(literal 1 binary64))
(*.f64 (pow.f64 im #s(literal 1/6 binary64)) (cbrt.f64 im))
(*.f64 (cbrt.f64 (cbrt.f64 im)) (*.f64 (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))) (cbrt.f64 im)))
(*.f64 (cbrt.f64 im) (pow.f64 im #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64)) (*.f64 (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64)) (cbrt.f64 im)))
(*.f64 (pow.f64 im #s(literal 1/4 binary64)) (pow.f64 im #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 im))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (pow.f64 im #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 im) #s(literal 1 binary64)) (pow.f64 im #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 im) (cbrt.f64 (cbrt.f64 im))) (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))))
(*.f64 (*.f64 (cbrt.f64 im) (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64))) (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64)))
(sqrt.f64 im)
(fabs.f64 (sqrt.f64 im))
(log.f64 (exp.f64 (sqrt.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 im))))
(cbrt.f64 (pow.f64 im #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 im)))
(log1p.f64 (expm1.f64 (sqrt.f64 im)))
(exp.f64 (log.f64 (sqrt.f64 im)))
(exp.f64 (*.f64 (log.f64 im) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 1/6 binary64)))
(*.f64 (pow.f64 im #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 im)))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 im)) (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 im #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 im #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(pow.f64 im #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 im #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 im))
(log.f64 (exp.f64 (pow.f64 im #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 1/6 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 im #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 im)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 im #s(literal 1/6 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))))
(fma.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re))))
(fma.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))
(+.f64 (*.f64 re (+.f64 (*.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 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (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 -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)) (*.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 (sqrt.f64 #s(literal 1/2 binary64)) re) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))))))
(fma.f64 re (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 re (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (*.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))))
(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 -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.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 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)) (*.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 -1/8 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) re) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))))))))))
(fma.f64 re (fma.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 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (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)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 re (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #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 1/2 binary64) (*.f64 (*.f64 im (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)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 re (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(*.f64 re (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #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 1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 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 (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)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(*.f64 re (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64))))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))
(*.f64 re (fma.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64))))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (sqrt.f64 #s(literal 1/2 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 1/6 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 1/6 binary64)))
(pow.f64 im #s(literal 1/6 binary64))
(*.f64 (pow.f64 im #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 im #s(literal 1/6 binary64))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 im)))
(*.f64 (cbrt.f64 (cbrt.f64 im)) (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 im)) (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 im)) (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64)))
(cbrt.f64 (sqrt.f64 im))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 im #s(literal 1/6 binary64)))
(pow.f64 im #s(literal 1/6 binary64))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 1/3 binary64)) (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 im)) (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (pow.f64 im #s(literal 1/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 im #s(literal 1/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 im #s(literal 1/4 binary64))))
(pow.f64 im #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 im) #s(literal 1/3 binary64))
(cbrt.f64 (sqrt.f64 im))
(pow.f64 (pow.f64 im #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 im #s(literal 1/6 binary64))
(pow.f64 (cbrt.f64 (pow.f64 im #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 im #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (sqrt.f64 im) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(cbrt.f64 (sqrt.f64 im))
(sqrt.f64 (cbrt.f64 im))
(log.f64 (exp.f64 (pow.f64 im #s(literal 1/6 binary64))))
(pow.f64 im #s(literal 1/6 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 1/6 binary64)))))
(pow.f64 im #s(literal 1/6 binary64))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 1/6 binary64))))
(pow.f64 im #s(literal 1/6 binary64))
(exp.f64 (log.f64 (pow.f64 im #s(literal 1/6 binary64))))
(pow.f64 im #s(literal 1/6 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 im)) #s(literal 1/3 binary64)))
(cbrt.f64 (sqrt.f64 im))
(exp.f64 (*.f64 (log.f64 (pow.f64 im #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(pow.f64 im #s(literal 1/6 binary64))

eval73.0ms (0.7%)

Compiler

Compiled 9808 to 2137 computations (78.2% saved)

prune97.0ms (0.9%)

Pruning

32 alts after pruning (20 fresh and 12 done)

PrunedKeptTotal
New58416600
Fresh145
Picked055
Done077
Total58532617
Accuracy
93.8%
Counts
617 → 32
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
16.8%
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
48.6%
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 3 binary64))
49.1%
(*.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
✓51.6%
(*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 #s(literal 1/2 binary64)))
48.6%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))
17.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
48.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 im #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 im #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
45.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 im)) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
18.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
46.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 (log.f64 (pow.f64 im #s(literal 1/6 binary64)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
✓76.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
48.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
✓48.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
46.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
✓50.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
✓44.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
49.0%
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 3 binary64)))
16.1%
(sqrt.f64 (/.f64 (*.f64 (*.f64 im #s(literal -1/4 binary64)) im) re))
19.9%
(sqrt.f64 (/.f64 (*.f64 im #s(literal -1/4 binary64)) (/.f64 re im)))
✓49.6%
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
✓77.5%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
7.3%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re))))
✓52.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
✓19.9%
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re))))
✓19.9%
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))))
33.8%
(sqrt.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64))))
46.4%
(sqrt.f64 (exp.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64)))))
✓25.2%
(sqrt.f64 re)
46.4%
(exp.f64 (*.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
✓23.6%
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
37.7%
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
Compiler

Compiled 786 to 476 computations (39.4% saved)

regimes390.0ms (3.7%)

Counts
44 → 2
Calls
Call 1
Inputs
(sqrt.f64 re)
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re))))
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re))))
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 im im) re)))
(sqrt.f64 (/.f64 (*.f64 im #s(literal -1/4 binary64)) (/.f64 re im)))
(sqrt.f64 (/.f64 (*.f64 (*.f64 im #s(literal -1/4 binary64)) im) re))
(*.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 (neg.f64 re) re))))
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 #s(literal 2 binary64))))
(*.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 im im))) re))))
(sqrt.f64 (exp.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64)))))
(sqrt.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 (log.f64 (pow.f64 im #s(literal 1/6 binary64)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 im)) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 im #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 im #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
Calls

7 calls:

314.0ms
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
13.0ms
re
12.0ms
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
12.0ms
im
12.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
Results
AccuracySegmentsBranch
83.7%2re
77.5%1im
82.8%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))))
82.8%2(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
83.4%2(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
83.4%2(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
77.5%1(*.f64 im im)
Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes60.0ms (0.6%)

Counts
42 → 2
Calls
Call 1
Inputs
(sqrt.f64 re)
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re))))
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re))))
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 im im) re)))
(sqrt.f64 (/.f64 (*.f64 im #s(literal -1/4 binary64)) (/.f64 re im)))
(sqrt.f64 (/.f64 (*.f64 (*.f64 im #s(literal -1/4 binary64)) im) re))
(*.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 (neg.f64 re) re))))
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 #s(literal 2 binary64))))
(*.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 im im))) re))))
(sqrt.f64 (exp.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64)))))
(sqrt.f64 (sqrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (exp.f64 (*.f64 (log.f64 im) #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 (log.f64 (pow.f64 im #s(literal 1/6 binary64)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 (*.f64 (log.f64 (sqrt.f64 im)) #s(literal 1/3 binary64))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (*.f64 (cbrt.f64 (pow.f64 im #s(literal 1/4 binary64))) (cbrt.f64 (pow.f64 im #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 #s(literal 2 binary64) re))))
Outputs
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
Calls

3 calls:

34.0ms
re
12.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
11.0ms
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
Results
AccuracySegmentsBranch
83.4%2(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
83.4%2(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
83.2%2re
Compiler

Compiled 29 to 18 computations (37.9% saved)

regimes23.0ms (0.2%)

Counts
21 → 3
Calls
Call 1
Inputs
(sqrt.f64 re)
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re))))
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re))))
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (*.f64 im im) re)))
(sqrt.f64 (/.f64 (*.f64 im #s(literal -1/4 binary64)) (/.f64 re im)))
(sqrt.f64 (/.f64 (*.f64 (*.f64 im #s(literal -1/4 binary64)) im) re))
(*.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 (neg.f64 re) re))))
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
Outputs
(sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
(sqrt.f64 re)
Calls

3 calls:

9.0ms
(*.f64 im im)
7.0ms
re
7.0ms
im
Results
AccuracySegmentsBranch
61.8%2im
61.8%2(*.f64 im im)
70.1%3re
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes10.0ms (0.1%)

Counts
6 → 2
Calls
Call 1
Inputs
(sqrt.f64 re)
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (neg.f64 re))))
Outputs
(sqrt.f64 re)
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im)))
Calls

2 calls:

7.0ms
im
3.0ms
re
Results
AccuracySegmentsBranch
61.8%2im
63.2%3re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
3 → 2
Calls
Call 1
Inputs
(sqrt.f64 re)
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
Outputs
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 re)
Calls

2 calls:

2.0ms
im
2.0ms
re
Results
AccuracySegmentsBranch
60.9%2re
60.8%2im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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

2 calls:

1.0ms
im
1.0ms
re
Results
AccuracySegmentsBranch
25.2%1im
25.2%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch45.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
37.0ms
-1.1159585942097035e+147
-3.4716860560095454e+138
Results
23.0ms79×2valid
3.0ms38×0valid
3.0ms10×3valid
3.0ms17×1valid
Compiler

Compiled 335 to 269 computations (19.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 13.0ms (53.2% of total)
ival-sqrt: 5.0ms (20.4% of total)
adjust: 3.0ms (12.3% of total)
ival-add: 3.0ms (12.3% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch0.0ms (0%)

Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.3668610311814552e-281
Compiler

Compiled 20 to 17 computations (15% saved)

bsearch44.0ms (0.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
9.0ms
5.9855291098874e+81
2.103659330590352e+82
30.0ms
-1.3611061607149908e+130
-2.0238132598264612e+127
Results
18.0ms65×2valid
10.0ms123×0valid
2.0ms8×3valid
2.0ms12×1valid
Compiler

Compiled 250 to 192 computations (23.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-mult: 13.0ms (54% of total)
ival-sqrt: 5.0ms (20.8% of total)
ival-add: 3.0ms (12.5% of total)
adjust: 2.0ms (8.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

bsearch25.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
3.870910319004519e-105
4.024703738540164e-103
Results
8.0ms33×2valid
6.0ms74×0valid
1.0ms5×1valid
Compiler

Compiled 118 to 94 computations (20.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (49.1% of total)
ival-sqrt: 3.0ms (29.5% of total)
ival-add: 2.0ms (19.6% of total)
adjust: 1.0ms (9.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

bsearch20.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
18.0ms
46104009441.5724
51632302642966.92
Results
15.0ms128×0valid
Compiler

Compiled 116 to 97 computations (16.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 8.0ms (72.9% of total)
ival-sqrt: 2.0ms (18.2% of total)
ival-add: 1.0ms (9.1% of total)
ival-true: 0.0ms (0% of total)
...in/eval/compile.rkt:70:19: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Rules
9×*-commutative
5×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066403
180403
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 re #s(literal -4699999999999999823827359304138853095281305045504655054705531621275501290099905941853910565294645927019957452628673023424041893469114859520 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(if (<=.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re) #s(literal 0 binary64)) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(if (<=.f64 re #s(literal -33499999999999997708530102182549538302636611431243443086279594764746063287088999658298043452056801973191360801795255822540865536 binary64)) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re)))) (if (<=.f64 re #s(literal 9000000000000000344659835746563911656599806078236977855240938022598689878978854912 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) (sqrt.f64 re)))
(if (<=.f64 im #s(literal 6778405929978135/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (sqrt.f64 re) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))))
(if (<=.f64 re #s(literal 48000000000 binary64)) (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) (sqrt.f64 re))
(sqrt.f64 re)
Outputs
(if (<=.f64 re #s(literal -4699999999999999823827359304138853095281305045504655054705531621275501290099905941853910565294645927019957452628673023424041893469114859520 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(if (<=.f64 (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re) #s(literal 0 binary64)) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(if (<=.f64 (+.f64 re (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) #s(literal 0 binary64)) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(if (<=.f64 re #s(literal -33499999999999997708530102182549538302636611431243443086279594764746063287088999658298043452056801973191360801795255822540865536 binary64)) (sqrt.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 im (/.f64 im re)))) (if (<=.f64 re #s(literal 9000000000000000344659835746563911656599806078236977855240938022598689878978854912 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))) (sqrt.f64 re)))
(if (<=.f64 im #s(literal 6778405929978135/322781234760863573706989896500376484291213224103652939103832419567580952752105149328705669160017228929487896496593436672 binary64)) (sqrt.f64 re) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re im))))
(if (<=.f64 re #s(literal 48000000000 binary64)) (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) (sqrt.f64 re))
(if (<=.f64 re #s(literal 48000000000 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) (sqrt.f64 re))
(sqrt.f64 re)

soundness1.3s (12.9%)

Rules
1209×log1p-expm1-u
789×fma-define
764×log1p-expm1-u
764×expm1-log1p-u
763×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023253
1338253
23739253
042266
1121266
2213266
3331266
4529266
5732266
6939266
71141266
81234266
91244266
0201843974
1585742768
032475
1541475
27256475
030304
1446288
25704288
081430033
1239128525
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×saturated
1×node limit
Compiler

Compiled 720 to 237 computations (67.1% saved)

preprocess12.0ms (0.1%)

Remove

(abs im)

Compiler

Compiled 174 to 128 computations (26.4% saved)

end0.0ms (0%)

Profiling

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