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

Time bar (total: 8.9s)

analyze132.0ms (1.5%)

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

Compiled 20 to 14 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
Operation ival-mult, time spent: 30.0ms, 44.0% of total-time
Operation ival-sqrt, time spent: 17.0ms, 25.0% of total-time
Operation ival->, time spent: 8.0ms, 12.0% of total-time
Operation ival-sub, time spent: 6.0ms, 9.0% of total-time
Operation ival-add, time spent: 5.0ms, 7.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

sample2.5s (28.2%)

Results
1.2s6400×256valid
343.0ms632×2048valid
324.0ms573×4096valid
364.0ms389×1024valid
60.0ms261×512valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
Operation ival-mult, time spent: 563.0ms, 42.0% of total-time
Operation ival-sqrt, time spent: 533.0ms, 39.0% of total-time
Operation ival-add, time spent: 83.0ms, 6.0% of total-time
Operation ival-sub, time spent: 78.0ms, 6.0% of total-time
Operation ival->, time spent: 73.0ms, 5.0% of total-time
Operation const, time spent: 26.0ms, 2.0% of total-time
Bogosity

preprocess440.0ms (4.9%)

Algorithm
egg-herbie
Rules
334×fma-define
301×fmm-def
68×distribute-rgt-in
55×distribute-lft-neg-in
55×sub-neg
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1170-0-(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
300-0-(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
270-0-(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 im im)
00-0-re
00-0-#s(literal 2 binary64)
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-im
00-0-(*.f64 re re)
00-0-(*.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))))
Iterations

Useful iterations: 1 (0.0ms)

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

(abs im)

Compiler

Compiled 173 to 52 computations (69.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 222.0ms
Operation ival-add, time spent: 146.0ms, 66.0% of total-time
Operation ival-mult, time spent: 48.0ms, 22.0% of total-time
Operation ival-sqrt, time spent: 20.0ms, 9.0% of total-time
Operation ival-sub, time spent: 5.0ms, 2.0% of total-time
Operation const, time spent: 4.0ms, 2.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
79.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
45.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
Compiler

Compiled 29 to 21 computations (27.6% saved)

localize227.0ms (2.6%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
90.7%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
89.1%
(-.f64 (hypot.f64 re im) re)
90.7%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
89.1%
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
57.6%
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Compiler

Compiled 115 to 34 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
Operation ival-sqrt, time spent: 80.0ms, 56.0% of total-time
Operation ival-mult, time spent: 38.0ms, 26.0% of total-time
Operation composed, time spent: 13.0ms, 9.0% of total-time
Operation ival-sub, time spent: 5.0ms, 3.0% of total-time
Operation ival-add, time spent: 5.0ms, 3.0% of total-time
Operation const, time spent: 3.0ms, 2.0% of total-time

series25.0ms (0.3%)

Counts
5 → 120
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))>
#<alt (-.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 (hypot.f64 re im) re)>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))>
Outputs
#<alt im>
#<alt (+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))>
#<alt (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt re>
#<alt (+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt im>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))>
#<alt im>
#<alt (+.f64 im (*.f64 #s(literal -1 binary64) re))>
#<alt (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))>
#<alt (+.f64 im (*.f64 re (-.f64 (*.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)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (/.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 (+.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 (+.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 #s(literal -1 binary64) (*.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 #s(literal -1 binary64) (*.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 #s(literal -1 binary64) (*.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 (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 (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 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/128 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 7 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 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 binary64) (/.f64 re im))))>
#<alt (*.f64 im (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (/.f64 re im)))>
#<alt (*.f64 im (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))) (/.f64 re im)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.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 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) re) im)))))>
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#<alt (+.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))))>
#<alt (+.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 #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 (sqrt.f64 im) (sqrt.f64 #s(literal 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 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))))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re)))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re)))))))>
#<alt (*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 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 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 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 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.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 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 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 -1/2 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 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 -1/2 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 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
Calls

30 calls:

TimeVariablePointExpression
3.0ms
im
@inf
(sqrt (+ (* re re) (* im im)))
2.0ms
im
@0
(sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))
2.0ms
im
@-inf
(sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))
2.0ms
re
@-inf
(sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))
1.0ms
re
@inf
(sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))

rewrite254.0ms (2.9%)

Algorithm
batch-egg-rewrite
Rules
981×log1p-expm1-u
981×expm1-log1p-u
531×fma-define
472×log-prod
220×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020121
1264121
22857121
Stop Event
node limit
Counts
5 → 276
Calls
Call 1
Inputs
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(-.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 (hypot.f64 re im) re)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
Outputs
(+.f64 #s(literal 0 binary64) (hypot.f64 re im))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))) (cbrt.f64 (exp.f64 (hypot.f64 re im))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))))
(-.f64 (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 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(fabs.f64 (hypot.f64 re im))
(log.f64 (exp.f64 (hypot.f64 re im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(hypot.f64 re im)
(hypot.f64 im re)
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(exp.f64 (log.f64 (hypot.f64 re im)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)))
(+.f64 (hypot.f64 re im) (neg.f64 re))
(+.f64 (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (neg.f64 re) re))
(+.f64 (neg.f64 re) (hypot.f64 re im))
(+.f64 #s(literal 0 binary64) (-.f64 (hypot.f64 re im) re))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 re im) re))) (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 re im) re))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))))
(*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re (hypot.f64 re im)) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
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(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (hypot.f64 re im) re))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (exp.f64 re))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (exp.f64 re))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))) (exp.f64 (neg.f64 re))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 re)) (exp.f64 (hypot.f64 re im))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 re)) (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 re)) (exp.f64 (hypot.f64 re im))))
(log.f64 (*.f64 (exp.f64 (neg.f64 re)) (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im)))))
(log.f64 (/.f64 (exp.f64 (hypot.f64 re im)) (+.f64 #s(literal 1 binary64) (expm1.f64 re))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))) (exp.f64 re)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))) (+.f64 #s(literal 1 binary64) (expm1.f64 re))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 re im) re)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 re im) re)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 re im) re)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) (neg.f64 re))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (neg.f64 re))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (neg.f64 re) (hypot.f64 re im))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (neg.f64 re))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (+.f64 (neg.f64 re) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 re)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 re) (neg.f64 (sqrt.f64 re)) (hypot.f64 re im))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (+.f64 (neg.f64 re) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (+.f64 (neg.f64 re) re))
(fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) (hypot.f64 re im))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (hypot.f64 re im))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (neg.f64 re))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (neg.f64 re))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 re)) (cbrt.f64 (neg.f64 re))) (cbrt.f64 (neg.f64 re)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (neg.f64 re))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (hypot.f64 re im))
(fma.f64 #s(literal -1 binary64) re (hypot.f64 re im))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (+.f64 (neg.f64 re) re))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1 binary64)))

simplify519.0ms (5.8%)

Algorithm
egg-herbie
Rules
433×fma-define
417×associate-*r*
387×associate-*l*
368×*-commutative
325×distribute-lft-neg-out
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065520954
1172320104
2612220042
Stop Event
node limit
Counts
396 → 371
Calls
Call 1
Inputs
im
(+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) re)
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
re
(+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
im
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
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(*.f64 #s(literal -1 binary64) im)
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 re im) re))) (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 re im) re))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))))
(*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re (hypot.f64 re im)) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (+.f64 re (hypot.f64 re im)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (neg.f64 (+.f64 re (hypot.f64 re im))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 (hypot.f64 re im) (neg.f64 re)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 (neg.f64 re) (neg.f64 re))) (-.f64 (hypot.f64 re im) (neg.f64 re)))
(pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (hypot.f64 re im) re))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (exp.f64 re))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (exp.f64 re))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))) (exp.f64 (neg.f64 re))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 re)) (exp.f64 (hypot.f64 re im))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 re)) (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 re)) (exp.f64 (hypot.f64 re im))))
(log.f64 (*.f64 (exp.f64 (neg.f64 re)) (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im)))))
(log.f64 (/.f64 (exp.f64 (hypot.f64 re im)) (+.f64 #s(literal 1 binary64) (expm1.f64 re))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))) (exp.f64 re)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))) (+.f64 #s(literal 1 binary64) (expm1.f64 re))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 re im) re)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 re im) re)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 re im) re)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) (neg.f64 re))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (neg.f64 re))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (neg.f64 re) (hypot.f64 re im))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (neg.f64 re))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (+.f64 (neg.f64 re) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 re)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 re) (neg.f64 (sqrt.f64 re)) (hypot.f64 re im))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (+.f64 (neg.f64 re) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (+.f64 (neg.f64 re) re))
(fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) (hypot.f64 re im))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (hypot.f64 re im))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (neg.f64 re))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (neg.f64 re))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 re)) (cbrt.f64 (neg.f64 re))) (cbrt.f64 (neg.f64 re)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (neg.f64 re))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (hypot.f64 re im))
(fma.f64 #s(literal -1 binary64) re (hypot.f64 re im))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (+.f64 (neg.f64 re) re))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
Outputs
im
(+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im) im)
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im)) im)
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
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(*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))))
(pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))

eval296.0ms (3.3%)

Compiler

Compiled 9136 to 6505 computations (28.8% saved)

prune98.0ms (1.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New35912371
Fresh000
Picked112
Done000
Total36013373
Accuracy
99.9%
Counts
373 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.2%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.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 5 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
25.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
79.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64))))
50.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
25.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
12.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 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))))
79.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
5.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
53.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
50.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))))
15.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.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)))))))
29.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
15.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
Compiler

Compiled 412 to 347 computations (15.8% saved)

localize313.0ms (3.5%)

Compiler

Compiled 170 to 113 computations (33.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 190.0ms
Operation ival-sqrt, time spent: 112.0ms, 59.0% of total-time
Operation ival-mult, time spent: 47.0ms, 25.0% of total-time
Operation ival-div, time spent: 10.0ms, 5.0% of total-time
Operation composed, time spent: 9.0ms, 5.0% of total-time
Operation const, time spent: 7.0ms, 4.0% of total-time
Operation ival-sub, time spent: 3.0ms, 2.0% of total-time
Operation ival-add, time spent: 2.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune64.0ms (0.7%)

Pruning

13 alts after pruning (7 fresh and 6 done)

PrunedKeptTotal
New000
Fresh077
Picked055
Done011
Total01313
Accuracy
99.9%
Counts
13 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.2%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.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 5 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
25.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
79.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64))))
50.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
25.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
12.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 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))))
79.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
5.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
53.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
50.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))))
15.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.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)))))))
29.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
15.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
Compiler

Compiled 354 to 298 computations (15.8% saved)

localize868.0ms (9.8%)

Compiler

Compiled 344 to 245 computations (28.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 470.0ms
Operation ival-sub, time spent: 135.0ms, 29.0% of total-time
Operation ival-pow, time spent: 109.0ms, 23.0% of total-time
Operation ival-mult, time spent: 109.0ms, 23.0% of total-time
Operation ival-div, time spent: 51.0ms, 11.0% of total-time
Operation ival-sqrt, time spent: 38.0ms, 8.0% of total-time
Operation const, time spent: 14.0ms, 3.0% of total-time
Operation ival-add, time spent: 14.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune8.0ms (0.1%)

Pruning

13 alts after pruning (2 fresh and 11 done)

PrunedKeptTotal
New000
Fresh022
Picked055
Done066
Total01313
Accuracy
99.9%
Counts
13 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
20.2%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.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 5 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
25.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
79.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64))))
50.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
25.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
12.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 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))))
79.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
5.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
53.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
50.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))))
15.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.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)))))))
29.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
15.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
Compiler

Compiled 212 to 178 computations (16% saved)

localize848.0ms (9.5%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
99.9%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
99.8%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
95.9%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))
95.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
98.9%
(*.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))))
97.2%
(/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))
90.7%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.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))))))
Compiler

Compiled 299 to 248 computations (17.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 599.0ms
Operation ival-pow, time spent: 279.0ms, 47.0% of total-time
Operation ival-mult, time spent: 155.0ms, 26.0% of total-time
Operation ival-div, time spent: 66.0ms, 11.0% of total-time
Operation ival-sqrt, time spent: 58.0ms, 10.0% of total-time
Operation ival-add, time spent: 20.0ms, 3.0% of total-time
Operation const, time spent: 14.0ms, 2.0% of total-time
Operation composed, time spent: 7.0ms, 1.0% of total-time

series39.0ms (0.4%)

Counts
7 → 97
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.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 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))>
#<alt (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
Outputs
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/512 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))))))))>
#<alt (*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal -1/8192 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64))))))))))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 9 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 9 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (pow.f64 re #s(literal 5 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64))))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 re))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 re)) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))))))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 re)) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64))))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/128 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 5 binary64)))) (sqrt.f64 re)))))))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/8192 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 7 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))>
#<alt (*.f64 (*.f64 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 -1/16 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 (*.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 1/512 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 1/16 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)))) (pow.f64 re #s(literal 3 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 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/512 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 (pow.f64 re #s(literal 3 binary64))))) (*.f64 #s(literal -1/8192 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 7 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 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 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)))) (pow.f64 re #s(literal 3 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 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 3 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #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))))) (pow.f64 re #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #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))))) (pow.f64 re #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #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))))) (pow.f64 re #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (/.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 (+.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 (+.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 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))))) re))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.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 (/.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 (/.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 (/.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 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
Calls

33 calls:

TimeVariablePointExpression
4.0ms
re
@inf
(sqrt (* 2 (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))))
3.0ms
im
@0
(* (sqrt (/ 1 (pow re 5))) (* -1/16 (* (pow im 3) (/ (sqrt 2) (sqrt 1/2)))))
3.0ms
re
@-inf
(sqrt (* 2 (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))))
2.0ms
re
@0
(* (sqrt (/ 1 (pow re 5))) (* -1/16 (* (pow im 3) (/ (sqrt 2) (sqrt 1/2)))))
2.0ms
im
@0
(sqrt (* 2 (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))))

rewrite209.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
487×log1p-expm1-u
276×associate-*r*
243×expm1-log1p-u
238×add-cube-cbrt
236×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038242
1606212
27515212
Stop Event
node limit
Counts
7 → 181
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))))
(/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re))))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)))))
(*.f64 (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)))))) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re))))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)))))))
(*.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re))))))
(*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re))))
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(pow.f64 (sqrt.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal -5 binary64)) (pow.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 re #s(literal -5/2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 re #s(literal -5 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 re #s(literal -5 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal -5/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -5/2 binary64)))
(*.f64 (pow.f64 re #s(literal -5/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -5/2 binary64))) (cbrt.f64 (pow.f64 re #s(literal -5 binary64))))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -5 binary64))) (cbrt.f64 (pow.f64 re #s(literal -5/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 re #s(literal -5/2 binary64))) (sqrt.f64 (pow.f64 re #s(literal -5/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal -10 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 re #s(literal -5 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal -10 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal -5 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 re #s(literal 5/2 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 re #s(literal 5 binary64)))))
(pow.f64 re #s(literal -5/2 binary64))
(pow.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 re #s(literal -5 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 re #s(literal -5/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 re #s(literal -5/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 re #s(literal -5 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 re #s(literal 5/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 re #s(literal -5/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 re #s(literal -5/2 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal -5/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal -5/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 re #s(literal -5 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -5/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal -5/2 binary64))))
(exp.f64 (log.f64 (pow.f64 re #s(literal -5/2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal -5 binary64) (log.f64 re)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal -5/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 re))
(pow.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) re))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3/2 binary64)))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #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 #s(literal 1/2 binary64) re))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 re))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 re)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 re)))
(pow.f64 re #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 re) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
(fabs.f64 (pow.f64 re #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal -1/2 binary64)))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))

simplify189.0ms (2.1%)

Algorithm
egg-herbie
Rules
453×associate-*l*
452×associate-*r*
372×*-commutative
265×distribute-lft-in
255×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062614466
1146014069
2509113827
Stop Event
node limit
Counts
278 → 342
Calls
Call 1
Inputs
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/512 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))))))))
(*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (*.f64 #s(literal -1/8192 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64))))))))))))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 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 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 9 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 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 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 9 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (pow.f64 re #s(literal 5 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64))))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 re))) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 re)) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 3 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))))))) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 re)) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64))))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/128 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 5 binary64)))) (sqrt.f64 re)))))))) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
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(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/8 binary64)) (pow.f64 re #s(literal -3 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) re)))
(fma.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/8 binary64)) (pow.f64 re #s(literal -3 binary64))) (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64))) (pow.f64 re #s(literal 5/2 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 re #s(literal 5/2 binary64))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 re #s(literal -5 binary64)) (pow.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 re #s(literal -5/2 binary64))) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 re #s(literal -5 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 re #s(literal -5 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64))))))
(exp.f64 (log.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal -5/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -5/2 binary64)))
(*.f64 (pow.f64 re #s(literal -5/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -5/2 binary64))) (cbrt.f64 (pow.f64 re #s(literal -5 binary64))))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -5 binary64))) (cbrt.f64 (pow.f64 re #s(literal -5/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 re #s(literal -5/2 binary64))) (sqrt.f64 (pow.f64 re #s(literal -5/2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal -10 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 re #s(literal -5 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal -10 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal -5 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 re #s(literal 5/2 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 re #s(literal 5 binary64)))))
(pow.f64 re #s(literal -5/2 binary64))
(pow.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 re #s(literal -5 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 re #s(literal -5/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 re #s(literal -5/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 re #s(literal -5 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 re #s(literal 5/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 re #s(literal -5/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 re #s(literal -5/2 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal -5/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal -5/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 re #s(literal -5 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -5/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal -5/2 binary64))))
(exp.f64 (log.f64 (pow.f64 re #s(literal -5/2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal -5 binary64) (log.f64 re)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal -5/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 re))
(pow.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 #s(literal 1/2 binary64) re))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3/2 binary64)))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #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 #s(literal 1/2 binary64) re))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 re))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 re)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 re)))
(pow.f64 re #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3/2 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 re) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
(fabs.f64 (pow.f64 re #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal -1/2 binary64)))))
(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal -1/2 binary64)))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 im (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 im (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/16 binary64))))))
(*.f64 im (fma.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 re #s(literal -1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/16 binary64))))))
(*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/512 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))))))))
(*.f64 im (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 #s(literal -1/512 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))))))))
(*.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/512 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal -1/16 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
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(cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) re)) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) re) #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal -1/2 binary64))))
(pow.f64 re #s(literal -1/2 binary64))
(exp.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))))
(pow.f64 re #s(literal -1/2 binary64))
(exp.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 1/2 binary64)))
(pow.f64 re #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 re #s(literal -1/2 binary64))

eval281.0ms (3.2%)

Compiler

Compiled 11430 to 9707 computations (15.1% saved)

prune90.0ms (1%)

Pruning

17 alts after pruning (8 fresh and 9 done)

PrunedKeptTotal
New3348342
Fresh000
Picked202
Done2911
Total33817355
Accuracy
100.0%
Counts
355 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
23.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)))))))
25.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
25.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
23.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)))) (sqrt.f64 #s(literal 2 binary64))))
19.0%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))))
79.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64))))
50.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
23.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re))))))
25.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal -1/2 binary64))))))
5.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #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))))) (pow.f64 re #s(literal 3 binary64))))))
79.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
5.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
53.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
50.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))))
15.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 im (/.f64 im (pow.f64 re #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))))
29.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
15.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
Compiler

Compiled 655 to 536 computations (18.2% saved)

regimes100.0ms (1.1%)

Counts
22 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) 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) (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal -1/2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 im (/.f64 im (pow.f64 re #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 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))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #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))))) (pow.f64 re #s(literal 3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 im (sqrt.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -3 binary64))) (/.f64 #s(literal 1/2 binary64) re)))))))
(*.f64 #s(literal 1/2 binary64) (fma.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.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 5 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
Calls

7 calls:

29.0ms
re
18.0ms
im
12.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
12.0ms
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
10.0ms
(*.f64 im im)
Results
AccuracySegmentsBranch
92.9%5re
81.7%3im
90.3%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))))
90.3%2(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
90.3%3(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
90.3%3(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
81.7%3(*.f64 im im)
Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes12.0ms (0.1%)

Counts
12 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) 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) (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal -1/2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal -1/2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
Calls

2 calls:

5.0ms
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
5.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
Results
AccuracySegmentsBranch
90.3%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))))
90.3%2(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
Compiler

Compiled 32 to 22 computations (31.3% saved)

regimes31.0ms (0.3%)

Counts
9 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) 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) (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
Calls

5 calls:

9.0ms
re
8.0ms
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
5.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
4.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
4.0ms
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
Results
AccuracySegmentsBranch
84.5%2re
85.2%3(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
85.2%3(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
85.2%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))))
85.2%2(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
Compiler

Compiled 61 to 40 computations (34.4% saved)

regimes3.0ms (0%)

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

1 calls:

2.0ms
re
Results
AccuracySegmentsBranch
79.6%1re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts
5 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
Calls

2 calls:

8.0ms
re
4.0ms
im
Results
AccuracySegmentsBranch
64.5%2im
68.3%4re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
4 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))))
Calls

1 calls:

7.0ms
re
Results
AccuracySegmentsBranch
68.3%4re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts
3 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
Calls

1 calls:

4.0ms
re
Results
AccuracySegmentsBranch
68.2%4re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes28.0ms (0.3%)

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

1 calls:

27.0ms
re
Results
AccuracySegmentsBranch
66.4%2re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
re
1.0ms
im
Results
AccuracySegmentsBranch
29.1%1im
29.1%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
6.621166491529909e-150
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
6.621166491529909e-150
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
6.621166491529909e-150
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch141.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
62.0ms
2.240125624617359e+283
1.0087223835435425e+285
61.0ms
2.2451459289174368e+195
5.735059206846077e+198
18.0ms
-2.2333082111395813e+66
-4.236573839139791e+65
Results
22.0ms124×256valid
52.0ms92×4096valid
32.0ms76×2048valid
9.0ms29×1024valid
3.0ms14×512valid
1.0ms4096valid
Compiler

Compiled 477 to 400 computations (16.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
Operation ival-mult, time spent: 37.0ms, 52.0% of total-time
Operation ival-sqrt, time spent: 19.0ms, 27.0% of total-time
Operation ival-add, time spent: 7.0ms, 10.0% of total-time
Operation ival-sub, time spent: 6.0ms, 8.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

bsearch146.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
66.0ms
1.0087223835435425e+285
9.534111929789062e+288
62.0ms
2.2451459289174368e+195
5.735059206846077e+198
17.0ms
-2.2333082111395813e+66
-4.236573839139791e+65
Results
18.0ms121×256valid
62.0ms111×4096valid
31.0ms73×2048valid
11.0ms37×1024valid
2.0ms512valid
0.0ms4096valid
Compiler

Compiled 570 to 466 computations (18.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
Operation ival-mult, time spent: 34.0ms, 47.0% of total-time
Operation ival-sqrt, time spent: 22.0ms, 30.0% of total-time
Operation ival-sub, time spent: 8.0ms, 11.0% of total-time
Operation ival-add, time spent: 6.0ms, 8.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

bsearch144.0ms (1.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
63.0ms
1.0087223835435425e+285
9.534111929789062e+288
64.0ms
2.2451459289174368e+195
5.735059206846077e+198
17.0ms
-2.2333082111395813e+66
-4.236573839139791e+65
Results
20.0ms129×256valid
56.0ms107×4096valid
29.0ms70×2048valid
17.0ms29×1024valid
4.0ms16×512valid
0.0ms2048valid
Compiler

Compiled 506 to 418 computations (17.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
Operation ival-mult, time spent: 32.0ms, 43.0% of total-time
Operation ival-sqrt, time spent: 20.0ms, 27.0% of total-time
Operation ival-add, time spent: 12.0ms, 16.0% of total-time
Operation ival-sub, time spent: 9.0ms, 12.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

bsearch17.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
16.0ms
-2.2333082111395813e+66
-4.236573839139791e+65
Results
13.0ms95×256valid
0.0ms256valid
Compiler

Compiled 154 to 130 computations (15.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
Operation ival-mult, time spent: 3.0ms, 53.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 35.0% of total-time
Operation ival-sub, time spent: 1.0ms, 18.0% of total-time
Operation ival-add, time spent: 1.0ms, 18.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify27.0ms (0.3%)

Algorithm
egg-herbie
Rules
29×*-commutative
12×unsub-neg
+-commutative
sub-neg
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01051016
11501016
21601016
31661016
41741016
51911016
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal -1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) 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 (hypot.f64 re im) re))))
(if (<=.f64 re #s(literal -460000000000000001038382920363605052036469624485565757580598312960 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64))))) (if (<=.f64 re #s(literal 3199999999999999843658535884555242257084531347579589343829306844983523751599986938649084124535148872990680143605484242146223441040176797789643435496408465278006517292279496000248715692233307591802880 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))) (if (<=.f64 re #s(literal 999999999999999980159157920520442850193109519852847211800025710561650359982538085224088616186146493844286149397221450372619320895438893697947652166455225334059372746413748147206443420891752540620587530362220273863006901551095990707698442841525909542472844588688081080376132618600579072 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))))
(if (<=.f64 re #s(literal -449999999999999984748660719629128983072923885893772891897597001728 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64))))) (if (<=.f64 re #s(literal 7400000000000000011916765432323363985624686473482303948725432980843719675184129467784760065149264944764582237327023795900951502422479871304114041372504353665208806308653066336081517344425380937728 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))) (if (<=.f64 re #s(literal 9499999999999999937246098655232535708691409248733000863585907846932600686288760557977230662268908246432025320536014497472389556901866115704501414742963798539192317965110226702657243290234859168053682745430585572318332996889674751910365940669367834497030485499091451668083442130367144787968 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))))))))
(if (<=.f64 re #s(literal -690000000000000001557574380545407578054704436728348636370897469440 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64))))) (if (<=.f64 re #s(literal 48000000000000000974490493373123000666194261166622760967396588468702376270525667832258510998353750214625841311765299062751660904643283312760772392775547225479597626675363389652676178104707232825344 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))) (if (<=.f64 re #s(literal 3099999999999999996605787978536549934356015852360653073653285566714483550021546057128803991416788673103185210773677164569303344034144725140695953261306607633143343144805972716262509844654992134484288288529791364807987014711628295650148285011402110853889477089307063763015255016412974940160 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))))))
(if (<=.f64 re #s(literal -499999999999999972661166934123722562854823285010623962332920807424 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
Outputs
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 im (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal -1/2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(if (<=.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) 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 (hypot.f64 re im) re))))
(if (<=.f64 re #s(literal -460000000000000001038382920363605052036469624485565757580598312960 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64))))) (if (<=.f64 re #s(literal 3199999999999999843658535884555242257084531347579589343829306844983523751599986938649084124535148872990680143605484242146223441040176797789643435496408465278006517292279496000248715692233307591802880 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))) (if (<=.f64 re #s(literal 999999999999999980159157920520442850193109519852847211800025710561650359982538085224088616186146493844286149397221450372619320895438893697947652166455225334059372746413748147206443420891752540620587530362220273863006901551095990707698442841525909542472844588688081080376132618600579072 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))))
(if (<=.f64 re #s(literal -460000000000000001038382920363605052036469624485565757580598312960 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64))))) (if (<=.f64 re #s(literal 3199999999999999843658535884555242257084531347579589343829306844983523751599986938649084124535148872990680143605484242146223441040176797789643435496408465278006517292279496000248715692233307591802880 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))) (if (<=.f64 re #s(literal 999999999999999980159157920520442850193109519852847211800025710561650359982538085224088616186146493844286149397221450372619320895438893697947652166455225334059372746413748147206443420891752540620587530362220273863006901551095990707698442841525909542472844588688081080376132618600579072 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im))))))
(if (<=.f64 re #s(literal -449999999999999984748660719629128983072923885893772891897597001728 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64))))) (if (<=.f64 re #s(literal 7400000000000000011916765432323363985624686473482303948725432980843719675184129467784760065149264944764582237327023795900951502422479871304114041372504353665208806308653066336081517344425380937728 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))) (if (<=.f64 re #s(literal 9499999999999999937246098655232535708691409248733000863585907846932600686288760557977230662268908246432025320536014497472389556901866115704501414742963798539192317965110226702657243290234859168053682745430585572318332996889674751910365940669367834497030485499091451668083442130367144787968 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))))))))
(if (<=.f64 re #s(literal -449999999999999984748660719629128983072923885893772891897597001728 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64))))) (if (<=.f64 re #s(literal 7400000000000000011916765432323363985624686473482303948725432980843719675184129467784760065149264944764582237327023795900951502422479871304114041372504353665208806308653066336081517344425380937728 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))) (if (<=.f64 re #s(literal 9499999999999999937246098655232535708691409248733000863585907846932600686288760557977230662268908246432025320536014497472389556901866115704501414742963798539192317965110226702657243290234859168053682745430585572318332996889674751910365940669367834497030485499091451668083442130367144787968 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal -1 binary64))))))))))
(if (<=.f64 re #s(literal -690000000000000001557574380545407578054704436728348636370897469440 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64))))) (if (<=.f64 re #s(literal 48000000000000000974490493373123000666194261166622760967396588468702376270525667832258510998353750214625841311765299062751660904643283312760772392775547225479597626675363389652676178104707232825344 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))) (if (<=.f64 re #s(literal 3099999999999999996605787978536549934356015852360653073653285566714483550021546057128803991416788673103185210773677164569303344034144725140695953261306607633143343144805972716262509844654992134484288288529791364807987014711628295650148285011402110853889477089307063763015255016412974940160 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))))))
(if (<=.f64 re #s(literal -690000000000000001557574380545407578054704436728348636370897469440 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64))))) (if (or (<=.f64 re #s(literal 48000000000000000974490493373123000666194261166622760967396588468702376270525667832258510998353750214625841311765299062751660904643283312760772392775547225479597626675363389652676178104707232825344 binary64)) (not (<=.f64 re #s(literal 3099999999999999996605787978536549934356015852360653073653285566714483550021546057128803991416788673103185210773677164569303344034144725140695953261306607633143343144805972716262509844654992134484288288529791364807987014711628295650148285011402110853889477089307063763015255016412974940160 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))))
(if (<=.f64 re #s(literal -499999999999999972661166934123722562854823285010623962332920807424 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
Compiler

Compiled 305 to 238 computations (22% saved)

soundness518.0ms (5.8%)

Rules
453×associate-*l*
452×associate-*r*
433×fma-define
417×associate-*r*
387×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065520954
1172320104
2612220042
062614466
1146014069
2509113827
042274
194266
2180266
3341266
4561266
5722266
6916266
71223266
81450266
91477266
Stop Event
saturated
node limit
node limit
Compiler

Compiled 322 to 237 computations (26.4% saved)

end0.0ms (0%)

preprocess291.0ms (3.3%)

Remove

(abs im)

Compiler

Compiled 864 to 618 computations (28.5% saved)

Profiling

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