math.sqrt on complex, real part

Time bar (total: 17.6s)

analyze175.0ms (1%)

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

Compiled 18 to 13 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
Operation ival-add, time spent: 55.0ms, 50.0% of total-time
Operation ival-mult, time spent: 36.0ms, 33.0% of total-time
Operation ival-sqrt, time spent: 17.0ms, 15.0% of total-time
Operation const, time spent: 2.0ms, 2.0% of total-time

sample3.7s (21.1%)

Results
2.0s6404×256valid
536.0ms680×2048valid
448.0ms515×4096valid
236.0ms405×1024valid
129.0ms252×512valid
Precisions
Click to see histograms. Total time spent on operations: 2.1s
Operation ival-sqrt, time spent: 836.0ms, 41.0% of total-time
Operation ival-mult, time spent: 835.0ms, 41.0% of total-time
Operation ival-add, time spent: 344.0ms, 17.0% of total-time
Operation const, time spent: 45.0ms, 2.0% of total-time
Bogosity

preprocess636.0ms (3.6%)

Algorithm
egg-herbie
Rules
255×fma-neg
205×fma-define
61×distribute-rgt-in
43×sub-neg
43×distribute-lft-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1190-0-(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
450-0-(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
240-1(-5.571627445815107e-32 3.6945935469386006e-171)(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-(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) 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 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042266
1121266
2213266
3333266
4531266
5734266
6941266
71149266
81242266
91252266
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 re (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re))))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal -1/2 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re)))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (hypot.f64 re im)))))
Symmetry

(abs im)

Results
Compiler

Compiled 173 to 52 computations (69.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 187.0ms
Operation ival-mult, time spent: 109.0ms, 58.0% of total-time
Operation ival-sqrt, time spent: 51.0ms, 27.0% of total-time
Operation ival-add, time spent: 20.0ms, 11.0% of total-time
Operation const, time spent: 8.0ms, 4.0% of total-time

eval1.0ms (0%)

Results
Compiler

Compiled 12 to 9 computations (25% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

prune2.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
42.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
74.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
Results
Compiler

Compiled 29 to 21 computations (27.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

localize344.0ms (2%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
91.5%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
83.6%
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
56.9%
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
100.0%
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
91.5%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
83.6%
(+.f64 re (hypot.f64 re im))
Results
Compiler

Compiled 115 to 34 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 199.0ms
Operation ival-mult, time spent: 85.0ms, 43.0% of total-time
Operation ival-sqrt, time spent: 50.0ms, 25.0% of total-time
Operation composed, time spent: 37.0ms, 19.0% of total-time
Operation ival-add, time spent: 21.0ms, 11.0% of total-time
Operation const, time spent: 7.0ms, 4.0% of total-time

series67.0ms (0.4%)

Counts
7 → 168
Calls
Call 1
Inputs
#<alt (+.f64 re (hypot.f64 re im))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))>
#<alt (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 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))>
Outputs
#<alt im>
#<alt (+.f64 im re)>
#<alt (+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))>
#<alt (+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))))>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re))>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 2 binary64) re))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt im>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) im))) im)))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<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 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<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 -1/16 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))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.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 -1/16 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))) (+.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 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.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 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
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#<alt (+.f64 (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (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 -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))))>
#<alt (*.f64 (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)))))>
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#<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 -1/4 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 (*.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))))))))>
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#<alt (*.f64 #s(literal 2 binary64) im)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 #s(literal 2 binary64) re))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))>
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#<alt (*.f64 #s(literal 4 binary64) re)>
#<alt (*.f64 re (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
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#<alt (*.f64 re (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
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#<alt (*.f64 #s(literal 4 binary64) re)>
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#<alt (*.f64 #s(literal 2 binary64) im)>
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#<alt (*.f64 im (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 re im)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2 binary64) im)>
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#<alt im>
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#<alt re>
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#<alt (*.f64 #s(literal -1 binary64) re)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #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>
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#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt im>
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#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<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 re)>
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#<alt (+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))))>
#<alt (*.f64 #s(literal 2 binary64) re)>
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#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) (*.f64 #s(literal 2 binary64) re)) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 re #s(literal 2 binary64))) im)) (*.f64 #s(literal 2 binary64) re)) im)))))>
Calls

42 calls:

TimeVariablePointExpression
5.0ms
re
@-inf
(sqrt (+ (* re re) (* im im)))
5.0ms
re
@inf
(+ re (sqrt (+ (* re re) (* im im))))
4.0ms
re
@-inf
(sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im))))))
3.0ms
im
@0
(sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im))))))
3.0ms
re
@inf
(sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im))))))
Results
Precisions
Click to see histograms. Total time spent on operations: 0ms

rewrite398.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
1118×log1p-expm1-u
1118×expm1-log1p-u
714×fma-define
356×fma-neg
105×add-cube-cbrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020177
1296177
23462177
Stop Event
node limit
Counts
7 → 265
Calls
Call 1
Inputs
(+.f64 re (hypot.f64 re im))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(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 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
Outputs
(-.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im))) (/.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im))))
(-.f64 (/.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))
(*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #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 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 re (hypot.f64 re im))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re)))
(/.f64 #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 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re (hypot.f64 re im)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #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 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 re (hypot.f64 re im)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (-.f64 (hypot.f64 re im) re))
(/.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #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 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (neg.f64 (-.f64 re (hypot.f64 re im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (neg.f64 (-.f64 (hypot.f64 re im) re)))
(pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 re (hypot.f64 re im)))))
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 1 binary64) (hypot.f64 re im))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) re)
(fma.f64 #s(literal 1 binary64) re (hypot.f64 re im))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) re)
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) re)
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) re)
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) re)
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) re)
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) re)
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (hypot.f64 re im))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(+.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(+.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)) (*.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (-.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64))) (fma.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (neg.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (-.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (-.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (-.f64 (hypot.f64 re im) re))
(/.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 re (hypot.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 #s(literal 2 binary64) re (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 re #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64) (*.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 re #s(literal 2 binary64))) (cbrt.f64 (*.f64 re #s(literal 2 binary64)))) (cbrt.f64 (*.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 re #s(literal 2 binary64))) (sqrt.f64 (*.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 re)) (sqrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(-.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))))
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(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 #s(literal 2 binary64) re (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 re #s(literal 2 binary64)))
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(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64) (*.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 re #s(literal 2 binary64))) (cbrt.f64 (*.f64 re #s(literal 2 binary64)))) (cbrt.f64 (*.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 re #s(literal 2 binary64))) (sqrt.f64 (*.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 re)) (sqrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
Results
Precisions
Click to see histograms. Total time spent on operations: 0ms

simplify276.0ms (1.6%)

Algorithm
egg-herbie
Rules
575×fma-define
463×associate-*r*
431×*-commutative
394×associate-*l*
315×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070722787
1199621895
2680821867
Stop Event
node limit
Counts
433 → 419
Calls
Call 1
Inputs
im
(+.f64 im re)
(+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))
(+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))))
(*.f64 #s(literal 2 binary64) re)
(*.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))))))
(*.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)))))))
(*.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))))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re))
(*.f64 #s(literal 2 binary64) re)
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 2 binary64) re))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
im
(*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))
(*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im))))
(*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im)))))
(*.f64 #s(literal -1 binary64) im)
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) im))) im)))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(+.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))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.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 re))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 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))) (+.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 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))))
(+.f64 (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (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 -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 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)))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 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))))))))
(*.f64 #s(literal 2 binary64) im)
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 #s(literal 2 binary64) re))
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))
(+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) im))))))
(*.f64 #s(literal 4 binary64) re)
(*.f64 re (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(*.f64 re (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 2 binary64)))) re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 2 binary64))))) re))
(*.f64 #s(literal 4 binary64) re)
(+.f64 (*.f64 #s(literal 4 binary64) re) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(+.f64 (*.f64 #s(literal 4 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) re))))
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(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(+.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(+.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)) (*.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (-.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64))) (fma.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (neg.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64))))) (-.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (-.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (-.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (-.f64 (hypot.f64 re im) re))
(/.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 re (hypot.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64)))
(fma.f64 re #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 #s(literal 2 binary64) re (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 re #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64) (*.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 re #s(literal 2 binary64))) (cbrt.f64 (*.f64 re #s(literal 2 binary64)))) (cbrt.f64 (*.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 re #s(literal 2 binary64))) (sqrt.f64 (*.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 re)) (sqrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
Outputs
im
(+.f64 im re)
(+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 re im) #s(literal 1 binary64)) im)
(+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))))
(+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (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 re (fma.f64 re (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)) #s(literal 1 binary64)) im)
(*.f64 #s(literal 2 binary64) re)
(*.f64 re #s(literal 2 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))))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 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)))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 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))))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 #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 2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal -1/2 binary64)) re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re))
(neg.f64 (/.f64 (fma.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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 2 binary64)))) (neg.f64 re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.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))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.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))))) (neg.f64 re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 5/64 binary64)) (pow.f64 re #s(literal 6 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.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))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 8 binary64)) (/.f64 #s(literal 5/64 binary64) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.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)))))) (neg.f64 re))
(*.f64 #s(literal 2 binary64) re)
(*.f64 re #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 re #s(literal 2 binary64)))
(fma.f64 re #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) re)))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(fma.f64 #s(literal 2 binary64) re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) re))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 re #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(fma.f64 #s(literal 2 binary64) re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.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) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) re))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.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) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) re)) (*.f64 re #s(literal 2 binary64)))
im
(*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))
(*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im))))
(*.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (/.f64 re im))))
(*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im)))))
(*.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (/.f64 re im)))))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 re) im)))
(*.f64 (neg.f64 im) (-.f64 #s(literal 1 binary64) (/.f64 re im)))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 re (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) im)) im))))
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(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (*.f64 (pow.f64 re #s(literal 2 binary64)) #s(literal -4 binary64))) (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(/.f64 (-.f64 (*.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (-.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #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 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 im re) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (fma.f64 re (-.f64 re (hypot.f64 im re)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (-.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 re (hypot.f64 re im))))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 re (hypot.f64 im re))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (-.f64 (hypot.f64 re im) re))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 re (hypot.f64 re im))))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 re (hypot.f64 im re))))
(/.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 re (-.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #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 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 im re) #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (fma.f64 re (-.f64 re (hypot.f64 im re)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 re (hypot.f64 re im))))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 re (hypot.f64 im re))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 re (hypot.f64 re im))))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 re (hypot.f64 im re))))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re))))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re))))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 re #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 #s(literal 2 binary64) re (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 #s(literal 1 binary64) (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (hypot.f64 im re))) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 (cbrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (*.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (*.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 re) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64) (*.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 re #s(literal 2 binary64))) (cbrt.f64 (*.f64 re #s(literal 2 binary64)))) (cbrt.f64 (*.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (sqrt.f64 (*.f64 re #s(literal 2 binary64))) (sqrt.f64 (*.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 re)) (sqrt.f64 re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
(fma.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (cbrt.f64 (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (hypot.f64 re im))) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (cbrt.f64 (hypot.f64 im re))) (*.f64 re #s(literal 2 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))
Results
Precisions
Click to see histograms. Total time spent on operations: 0ms

eval212.0ms (1.2%)

Results
Compiler

Compiled 9798 to 7248 computations (26% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

prune97.0ms (0.6%)

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New40613419
Fresh000
Picked112
Done000
Total40714421
Accuracy
87.3%
Counts
421 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
49.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
26.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
16.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
49.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
51.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64))))
50.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal 2 binary64))))))
49.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
72.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)))))
72.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) re))))
5.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
67.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))))
74.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
69.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))
Results
Compiler

Compiled 336 to 267 computations (20.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

localize477.0ms (2.7%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))
91.5%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)))
91.0%
(exp.f64 (log.f64 (hypot.f64 re im)))
83.6%
(+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)
99.3%
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
99.6%
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
100.0%
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
99.1%
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
89.5%
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))
83.6%
(+.f64 re (hypot.f64 re im))
Results
Compiler

Compiled 176 to 82 computations (53.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 291.0ms
Operation ival-pow, time spent: 96.0ms, 33.0% of total-time
Operation ival-mult, time spent: 88.0ms, 30.0% of total-time
Operation ival-sqrt, time spent: 40.0ms, 14.0% of total-time
Operation composed, time spent: 17.0ms, 6.0% of total-time
Operation ival-exp, time spent: 12.0ms, 4.0% of total-time
Operation ival-log, time spent: 12.0ms, 4.0% of total-time
Operation ival-add, time spent: 12.0ms, 4.0% of total-time
Operation const, time spent: 10.0ms, 3.0% of total-time
Operation ival-neg, time spent: 2.0ms, 1.0% of total-time

series42.0ms (0.2%)

Counts
8 → 160
Calls
Call 1
Inputs
#<alt (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))>
#<alt (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)>
#<alt (exp.f64 (log.f64 (hypot.f64 re im)))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))>
Outputs
#<alt (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/4 binary64)) re)) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)))>
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#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))) (+.f64 (*.f64 #s(literal 1/128 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 2 binary64) (sqrt.f64 re))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/64 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 re)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 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 -5/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64))))) (*.f64 #s(literal 21/512 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 11 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 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))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal 1/2 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 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)))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (+.f64 (*.f64 #s(literal 1/2 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 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))))))))>
#<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 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 re (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 re (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (/.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 re (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt im>
#<alt (+.f64 im re)>
#<alt (+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))>
#<alt (+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))))>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re))>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 2 binary64) re))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt im>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) im))) im)))))>
#<alt im>
#<alt (+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))>
#<alt (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt re>
#<alt (+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt im>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<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 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<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 -1/16 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))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.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 -1/16 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))) (+.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 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.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 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (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 -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))))>
#<alt (*.f64 (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 1/4 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 (*.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 -1/8 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 (*.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 #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 -1/4 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 (*.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 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))))))))>
#<alt (*.f64 #s(literal 2 binary64) im)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 #s(literal 2 binary64) re))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) im))))))>
#<alt (*.f64 #s(literal 4 binary64) re)>
#<alt (*.f64 re (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 2 binary64)))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 2 binary64))))) re))>
#<alt (*.f64 #s(literal 4 binary64) re)>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) re) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 2 binary64) im)>
#<alt (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))>
#<alt (*.f64 im (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 re im)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 im (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 re im)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) (*.f64 #s(literal 2 binary64) re)) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 re #s(literal 2 binary64))) im)) (*.f64 #s(literal 2 binary64) re)) im)))))>
Calls

42 calls:

TimeVariablePointExpression
3.0ms
re
@-inf
(pow (* 2 (+ re (sqrt (+ (* re re) (* im im))))) 1/4)
2.0ms
re
@inf
(pow (* 2 (+ re (sqrt (+ (* re re) (* im im))))) 1/4)
2.0ms
re
@-inf
(* 2 (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))
2.0ms
re
@inf
(pow (pow (* 2 (+ re (sqrt (+ (* re re) (* im im))))) 1/4) 2)
2.0ms
im
@inf
(pow (* 2 (+ re (sqrt (+ (* re re) (* im im))))) 1/4)
Results
Precisions
Click to see histograms. Total time spent on operations: 0ms

rewrite165.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
909×prod-diff
781×log1p-expm1-u
668×expm1-log1p-u
126×pow1
125×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025189
1375189
23836189
Stop Event
node limit
Counts
8 → 240
Calls
Call 1
Inputs
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)
(exp.f64 (log.f64 (hypot.f64 re im)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re)))
(*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))
Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
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(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (hypot.f64 re im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (hypot.f64 re im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (hypot.f64 re im))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (hypot.f64 re im)))) (sqrt.f64 (log.f64 (hypot.f64 re im))))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(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)
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im)))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/8 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/8 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/8 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(+.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (-.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re))) (-.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re (-.f64 re (hypot.f64 re im)))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (-.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (-.f64 (hypot.f64 re im) re))
(/.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))
(/.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re (-.f64 re (hypot.f64 re im)))))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 re (hypot.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) re (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 #s(literal 2 binary64) re))
(fma.f64 re #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) re))
Results
Precisions
Click to see histograms. Total time spent on operations: 0ms

simplify216.0ms (1.2%)

Algorithm
egg-herbie
Rules
813×associate-*r*
687×associate-*l*
494×distribute-rgt-in
491×distribute-lft-in
414×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0112922604
1319521501
Stop Event
node limit
Counts
400 → 553
Calls
Call 1
Inputs
(pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/4 binary64)) re)) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 7 binary64))) #s(literal 1/4 binary64)) re)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/4 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 re (+.f64 (*.f64 #s(literal -5/128 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 11 binary64))) #s(literal 1/4 binary64)) re)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 7 binary64))) #s(literal 1/4 binary64))))))) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))))) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))))) (pow.f64 re #s(literal 2 binary64)))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))) (+.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/96 binary64) (+.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))))))) (pow.f64 re #s(literal 4 binary64)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))))) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))) (+.f64 (*.f64 #s(literal 1/24576 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/2880 binary64) (+.f64 (*.f64 #s(literal 15/4 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 45/4 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 45/2 binary64) (pow.f64 im #s(literal 6 binary64)))))) (*.f64 #s(literal 1/1536 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))))))))) (pow.f64 re #s(literal 6 binary64))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))) (+.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/96 binary64) (+.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))))))) (pow.f64 re #s(literal 4 binary64))))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64))))))
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(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) re) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (-.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re))) (-.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re (-.f64 re (hypot.f64 re im)))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (-.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (-.f64 (hypot.f64 re im) re))
(/.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))
(/.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re (-.f64 re (hypot.f64 re im)))))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 re (hypot.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) re (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 #s(literal 2 binary64) re))
(fma.f64 re #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) re))
Outputs
(pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/4 binary64)) re)) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)))
(fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/4 binary64)) re) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 7 binary64))) #s(literal 1/4 binary64)) re)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/4 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)))
(fma.f64 re (fma.f64 #s(literal 1/32 binary64) (*.f64 re (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 7 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/4 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/4 binary64))) (*.f64 re (+.f64 (*.f64 #s(literal -5/128 binary64) (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 11 binary64))) #s(literal 1/4 binary64)) re)) (*.f64 #s(literal 1/32 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 7 binary64))) #s(literal 1/4 binary64))))))) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)))
(fma.f64 re (fma.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 3 binary64))) #s(literal 1/4 binary64)) (*.f64 re (fma.f64 #s(literal -5/128 binary64) (*.f64 re (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 11 binary64))) #s(literal 1/4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 7 binary64))) #s(literal 1/4 binary64)))))) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 4 binary64)) (neg.f64 (neg.f64 (log.f64 re)))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 4 binary64)) (log.f64 re)))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))))) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 4 binary64)) (neg.f64 (neg.f64 (log.f64 re))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 4 binary64)) (neg.f64 (neg.f64 (log.f64 re))))) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 4 binary64)) (log.f64 re))) (*.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 4 binary64)) (log.f64 re))) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))))) (pow.f64 re #s(literal 2 binary64)))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))) (+.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/96 binary64) (+.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))))))) (pow.f64 re #s(literal 4 binary64)))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 4 binary64)) (neg.f64 (neg.f64 (log.f64 re))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 4 binary64)) (neg.f64 (neg.f64 (log.f64 re))))) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 4 binary64)) (neg.f64 (neg.f64 (log.f64 re))))) (/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 im #s(literal 4 binary64)) (*.f64 #s(literal 1/96 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -9/4 binary64)))) (pow.f64 re #s(literal 4 binary64))))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 4 binary64)) (log.f64 re))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 4 binary64)) (log.f64 re))) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 4 binary64)) (log.f64 re))) (/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -3/128 binary64))) (pow.f64 re #s(literal 4 binary64))))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re))))))) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))) (+.f64 (*.f64 #s(literal 1/24576 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 1/2880 binary64) (+.f64 (*.f64 #s(literal 15/4 binary64) (pow.f64 im #s(literal 6 binary64))) (+.f64 (*.f64 #s(literal 45/4 binary64) (pow.f64 im #s(literal 6 binary64))) (*.f64 #s(literal 45/2 binary64) (pow.f64 im #s(literal 6 binary64)))))) (*.f64 #s(literal 1/1536 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))))))))) (pow.f64 re #s(literal 6 binary64))) (/.f64 (*.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) re)))))) (+.f64 (*.f64 #s(literal 1/512 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal 1/96 binary64) (+.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal -3/4 binary64) (pow.f64 im #s(literal 4 binary64))))))) (pow.f64 re #s(literal 4 binary64))))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 4 binary64)) (neg.f64 (neg.f64 (log.f64 re))))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 4 binary64)) (neg.f64 (neg.f64 (log.f64 re))))) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 4 binary64)) (neg.f64 (neg.f64 (log.f64 re))))) (/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 im #s(literal 4 binary64)) (*.f64 #s(literal 1/96 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -9/4 binary64)))) (pow.f64 re #s(literal 4 binary64)))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 4 binary64)) (neg.f64 (neg.f64 (log.f64 re))))) (/.f64 (fma.f64 #s(literal 1/24576 binary64) (pow.f64 im #s(literal 6 binary64)) (fma.f64 #s(literal 1/2880 binary64) (fma.f64 #s(literal 15/4 binary64) (pow.f64 im #s(literal 6 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 135/4 binary64))) (*.f64 #s(literal 1/1536 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -9/4 binary64)))))) (pow.f64 re #s(literal 6 binary64)))))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 4 binary64)) (log.f64 re))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 4 binary64)) (log.f64 re))) (pow.f64 re #s(literal 2 binary64)))) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 4 binary64)) (log.f64 re))) (+.f64 (/.f64 (fma.f64 #s(literal 1/512 binary64) (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -3/128 binary64))) (pow.f64 re #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 1/24576 binary64) (pow.f64 im #s(literal 6 binary64)) (fma.f64 #s(literal 1/2880 binary64) (*.f64 (pow.f64 im #s(literal 6 binary64)) #s(literal 75/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal -9/4 binary64)) #s(literal 1/1536 binary64))))) (pow.f64 re #s(literal 6 binary64)))))))
(exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64))))))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64)))))
(+.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64)))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64))))))) (pow.f64 re #s(literal 2 binary64)))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64))))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64))))) (pow.f64 re #s(literal 2 binary64))))))
(+.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64))))) (*.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64))))) (pow.f64 re #s(literal 2 binary64)))))
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(/.f64 (*.f64 #s(literal 8 binary64) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (*.f64 re #s(literal 4 binary64)) (-.f64 re (hypot.f64 re im)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re)) (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))) (-.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 re (hypot.f64 re im))))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 re (hypot.f64 re im))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (*.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 #s(literal 2 binary64) re))) (-.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 #s(literal 2 binary64) re)))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(/.f64 (*.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re (-.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re (-.f64 re (hypot.f64 re im))))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (-.f64 re (hypot.f64 re im)))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 re (hypot.f64 re im))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (-.f64 (hypot.f64 re im) re))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (-.f64 (hypot.f64 re im) re)))
(/.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))))
(/.f64 (*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re (-.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 2 binary64) (/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re (-.f64 re (hypot.f64 re im))))))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im)))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (/.f64 #s(literal 2 binary64) (-.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 re (hypot.f64 re im))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (-.f64 (hypot.f64 re im) re)))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(fma.f64 #s(literal 2 binary64) re (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 #s(literal 2 binary64) re))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(fma.f64 re #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) re))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
Results
Precisions
Click to see histograms. Total time spent on operations: 0ms

eval465.0ms (2.6%)

Results
Compiler

Compiled 20278 to 15273 computations (24.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

prune239.0ms (1.4%)

Pruning

29 alts after pruning (23 fresh and 6 done)

PrunedKeptTotal
New77415789
Fresh088
Picked055
Done011
Total77429803
Accuracy
89.6%
Counts
803 → 29
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.9%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
49.3%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
71.6%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
74.2%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
33.0%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
16.6%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))
44.3%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im))) #s(literal 2 binary64)))
17.1%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64)))
46.4%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))))) #s(literal 2 binary64)))
48.7%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64)))
49.8%
(*.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)) (sqrt.f64 im))))
49.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 im)) (cbrt.f64 (sqrt.f64 im))))
49.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))))
49.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
49.1%
(*.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))))
26.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
16.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
49.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
51.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64))))
50.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal 2 binary64))))))
49.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
72.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)))))
72.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) re))))
5.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
67.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))))
74.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
69.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))
46.3%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))))
35.0%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64))))
Results
Compiler

Compiled 703 to 596 computations (15.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

localize398.0ms (2.3%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
99.9%
(sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))
99.8%
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
99.1%
(cbrt.f64 (*.f64 #s(literal 2 binary64) im))
99.7%
(*.f64 (sqrt.f64 im) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
99.2%
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
99.6%
(log.f64 (*.f64 #s(literal 2 binary64) im))
96.2%
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64)))
99.6%
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
99.3%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) re)))
Results
Compiler

Compiled 191 to 133 computations (30.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 237.0ms
Operation ival-mult, time spent: 68.0ms, 29.0% of total-time
Operation ival-pow, time spent: 61.0ms, 26.0% of total-time
Operation ival-add, time spent: 24.0ms, 10.0% of total-time
Operation ival-sqrt, time spent: 21.0ms, 9.0% of total-time
Operation ival-log, time spent: 17.0ms, 7.0% of total-time
Operation composed, time spent: 12.0ms, 5.0% of total-time
Operation ival-cbrt, time spent: 12.0ms, 5.0% of total-time
Operation const, time spent: 9.0ms, 4.0% of total-time
Operation ival-exp, time spent: 7.0ms, 3.0% of total-time
Operation ival-fabs, time spent: 5.0ms, 2.0% of total-time

series116.0ms (0.7%)

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

30 calls:

TimeVariablePointExpression
34.0ms
im
@0
(log (* 2 im))
18.0ms
im
@0
(* (fabs (cbrt (* 2 im))) (sqrt (cbrt (* 2 im))))
13.0ms
im
@-inf
(log (* 2 im))
10.0ms
im
@inf
(log (* 2 im))
8.0ms
im
@inf
(* (fabs (cbrt (* 2 im))) (sqrt (cbrt (* 2 im))))
Results
Precisions
Click to see histograms. Total time spent on operations: 0ms

rewrite178.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
893×log1p-expm1-u
623×prod-diff
452×expm1-log1p-u
169×add-exp-log
168×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029146
1438136
24963136
Stop Event
node limit
Counts
9 → 235
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) re)))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) im))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 im) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) im))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))
(*.f64 (hypot.f64 re im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 re im))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (*.f64 (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (sqrt.f64 (hypot.f64 re im))))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (sqrt.f64 (hypot.f64 re im))))
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64))) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (hypot.f64 re im)) (cbrt.f64 (hypot.f64 re im))) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))))
(sqrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(log.f64 (exp.f64 (hypot.f64 re im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(hypot.f64 re im)
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(exp.f64 (log.f64 (hypot.f64 re im)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 im)))
(*.f64 (cbrt.f64 im) (*.f64 (cbrt.f64 (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))) (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 im #s(literal 1/4 binary64)) (*.f64 (pow.f64 im #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 im)) (cbrt.f64 (sqrt.f64 im)))
(*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 im #s(literal 1/4 binary64))) (pow.f64 im #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 im) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)) #s(literal 1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (*.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64))) (pow.f64 #s(literal 2 binary64) #s(literal 1/8 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) im))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 im #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(+.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im))
(+.f64 (log.f64 im) (log.f64 #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(+.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64)))) (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 im) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1 binary64))
(*.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im)))))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 im) (log.f64 im))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im)))
(pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(log1p.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) #s(literal 1/3 binary64))
(sqrt.f64 #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) im))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 im #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 im))
(*.f64 (cbrt.f64 im) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (fabs.f64 (cbrt.f64 #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 im)))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64))))
(fabs.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))
(fabs.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(fabs.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) im))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 im #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 im)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 im)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))) (cbrt.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 im)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)))))
(cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
Results
Precisions
Click to see histograms. Total time spent on operations: 0ms

simplify185.0ms (1.1%)

Algorithm
egg-herbie
Rules
617×distribute-lft-in
562×associate-*r*
496×times-frac
484×associate-*l*
374×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
065711923
1151711362
2523511206
Stop Event
node limit
Counts
355 → 402
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
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(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) im))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 im #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (cbrt.f64 im))
(*.f64 (cbrt.f64 im) (cbrt.f64 #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (fabs.f64 (cbrt.f64 #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 im)))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 4 binary64))))
(fabs.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))
(fabs.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(fabs.f64 (neg.f64 (neg.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) im))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 im #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 im)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 im)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))) (cbrt.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (sqrt.f64 (cbrt.f64 #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 im)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64)))))
(cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))))
(exp.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
Outputs
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) re) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 re (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) re) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 re (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 re (fma.f64 re (fma.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.f64 (*.f64 re (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1/16 binary64)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 re))
(*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 re (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 re (fma.f64 #s(literal 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 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 re (fma.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(*.f64 re (fma.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))) (fma.f64 #s(literal 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 1/4 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(*.f64 re (fma.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))) (fma.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))
(*.f64 re (+.f64 (fma.f64 #s(literal 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 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (+.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 #s(literal -1/32 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)))))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
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im
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re
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re
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im
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(log1p.f64 (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/6 binary64))
(exp.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))))
(pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/6 binary64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 1/2 binary64)))
(sqrt.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/6 binary64))
Results
Precisions
Click to see histograms. Total time spent on operations: 0ms

eval241.0ms (1.4%)

Results
Compiler

Compiled 9010 to 7308 computations (18.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

prune143.0ms (0.8%)

Pruning

36 alts after pruning (27 fresh and 9 done)

PrunedKeptTotal
New43113444
Fresh41418
Picked235
Done066
Total43736473
Accuracy
89.6%
Counts
473 → 36
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.9%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
49.3%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
45.7%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
71.6%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
74.2%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
33.0%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
16.6%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))
44.4%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))))
17.1%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64)))
46.4%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))))) #s(literal 2 binary64)))
46.0%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 im #s(literal 2 binary64)))))
49.1%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3/2 binary64)))
45.9%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
49.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))))
49.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
26.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
16.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
49.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
51.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64))))
50.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal 2 binary64))))))
49.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
72.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)))))
72.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) re))))
5.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
67.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))))
74.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
69.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))
30.4%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
44.6%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
46.1%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (/.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 im) (log.f64 im))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im))) #s(literal 1/2 binary64))))
46.0%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 im) (-.f64 (log.f64 im) (log.f64 #s(literal 2 binary64)))))) #s(literal 1/2 binary64))))
46.4%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 im) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
46.3%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))))
31.0%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
31.1%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64))))
35.0%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64))))
Results
Compiler

Compiled 903 to 773 computations (14.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

localize6.0s (34%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
99.6%
(log.f64 (*.f64 #s(literal 2 binary64) im))
99.6%
(pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64))
99.0%
(pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
97.0%
(exp.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
99.8%
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))
99.8%
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)))
83.2%
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
99.6%
(sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64)))
99.6%
(pow.f64 (cbrt.f64 re) #s(literal 2 binary64))
99.6%
(cbrt.f64 re)
99.3%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))))
Results
Compiler

Compiled 218 to 149 computations (31.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.1s
Operation ival-pow, time spent: 3.1s, 61.0% of total-time
Operation ival-log, time spent: 1.2s, 23.0% of total-time
Operation ival-mult, time spent: 266.0ms, 5.0% of total-time
Operation ival-exp, time spent: 215.0ms, 4.0% of total-time
Operation composed, time spent: 135.0ms, 3.0% of total-time
Operation ival-sqrt, time spent: 93.0ms, 2.0% of total-time
Operation const, time spent: 40.0ms, 1.0% of total-time
Operation ival-add, time spent: 28.0ms, 1.0% of total-time
Operation ival-cbrt, time spent: 15.0ms, 0.0% of total-time

series133.0ms (0.8%)

Counts
10 → 128
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))))>
#<alt (cbrt.f64 re)>
#<alt (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64)))>
#<alt (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))>
#<alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)))>
#<alt (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))>
#<alt (exp.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))>
#<alt (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))>
#<alt (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64))>
Outputs
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<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 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #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)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 re (+.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64)))))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 re (+.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))))>
#<alt (+.f64 (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (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 -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))))>
#<alt (*.f64 (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)))))>
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#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im)) #s(literal 3 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im)) #s(literal 3 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im)) #s(literal 3 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im)) #s(literal 3 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))) #s(literal 3 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))) #s(literal 3 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))) #s(literal 3 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))) #s(literal 3 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) #s(literal 3 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) #s(literal 3 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) #s(literal 3 binary64))>
#<alt (pow.f64 (+.f64 (log.f64 #s(literal -2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im)))) #s(literal 3 binary64))>
Calls

36 calls:

TimeVariablePointExpression
43.0ms
re
@0
(cbrt re)
27.0ms
im
@0
(* (pow 4 1/8) (* (pow 4 1/8) (sqrt im)))
4.0ms
im
@0
(pow (pow (* 2 im) 3/2) 1/3)
4.0ms
im
@-inf
(pow (pow (* 2 im) 3/2) 1/3)
4.0ms
re
@-inf
(sqrt (* 2 (+ (* (pow (cbrt re) 2) (cbrt re)) (sqrt (+ (* re re) (* im im))))))
Results
Precisions
Click to see histograms. Total time spent on operations: 0ms

rewrite300.0ms (1.7%)

Algorithm
batch-egg-rewrite
Rules
798×prod-diff
723×log1p-expm1-u
196×expm1-log1p-u
193×pow1
188×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
037195
1498179
25425179
Stop Event
node limit
Counts
10 → 225
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))))
(cbrt.f64 re)
(pow.f64 (cbrt.f64 re) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))
(exp.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64)))
(pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64))
Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 re))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 re))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 (cbrt.f64 re)))
(*.f64 (cbrt.f64 (cbrt.f64 re)) (cbrt.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (pow.f64 re #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (cbrt.f64 re))
(*.f64 (pow.f64 (sqrt.f64 re) #s(literal 1/3 binary64)) (pow.f64 (sqrt.f64 re) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))))))
(pow.f64 re #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (cbrt.f64 re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 re #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))))
(fabs.f64 (cbrt.f64 re))
(log.f64 (exp.f64 (cbrt.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 re))))
(expm1.f64 (log1p.f64 (cbrt.f64 re)))
(log1p.f64 (expm1.f64 (cbrt.f64 re)))
(exp.f64 (log.f64 (cbrt.f64 re)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (cbrt.f64 re) (cbrt.f64 re))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 re #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (cbrt.f64 re)) (cbrt.f64 re)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64))) (cbrt.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))))
(*.f64 (pow.f64 re #s(literal 1/6 binary64)) (*.f64 (pow.f64 re #s(literal 1/6 binary64)) (cbrt.f64 re)))
(*.f64 (sqrt.f64 re) (pow.f64 re #s(literal 1/6 binary64)))
(*.f64 (*.f64 (cbrt.f64 re) (cbrt.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))))) (cbrt.f64 (cbrt.f64 re)))
(sqrt.f64 (pow.f64 (cbrt.f64 re) #s(literal 4 binary64)))
(log.f64 (exp.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 re #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 re))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (cbrt.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re im)))
(*.f64 (sqrt.f64 (+.f64 re im)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 im))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (sqrt.f64 im))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) im))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 im #s(literal 1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (sqrt.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 im (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 im)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))))
(exp.f64 (log.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 im))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (sqrt.f64 im))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) im))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im))
(+.f64 (log.f64 im) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 im) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1 binary64))
(*.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im)))))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 im) (log.f64 im))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(log1p.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (log.f64 im)))
(+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (*.f64 (log.f64 im) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) (*.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)) #s(literal 3 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1 binary64)))
Results
Precisions
Click to see histograms. Total time spent on operations: 0ms

simplify472.0ms (2.7%)

Algorithm
egg-herbie
Rules
713×distribute-lft-in
612×associate-*r*
513×associate-*l*
434×*-commutative
415×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
073912899
1179112119
2597212013
Stop Event
node limit
Counts
353 → 408
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 re (+.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
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(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 im))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (sqrt.f64 im))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) im))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 im #s(literal 1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) (sqrt.f64 im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)) #s(literal 3 binary64)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 im) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 im (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64))))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 im)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3/2 binary64)) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))))
(exp.f64 (log.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (sqrt.f64 im))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (sqrt.f64 im))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3 binary64)) #s(literal 1/6 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) im))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im))
(+.f64 (log.f64 im) (log.f64 #s(literal 2 binary64)))
(+.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(+.f64 #s(literal 0 binary64) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 im) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1 binary64))
(*.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (-.f64 (*.f64 (log.f64 im) (log.f64 im)) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im)))))
(/.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 im) (log.f64 im))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im)))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)))
(log.f64 (*.f64 #s(literal 2 binary64) im))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(log1p.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1 binary64)))
(exp.f64 (log.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (log.f64 im)))
(+.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (*.f64 (log.f64 im) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))) #s(literal 1 binary64))
(*.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3/2 binary64)))
(*.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) (*.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64)) #s(literal 3 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64)))
(*.f64 (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (*.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64)) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))) (sqrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1 binary64)))
Outputs
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 re (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) re) (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
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(expm1.f64 (log1p.f64 (pow.f64 (log.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64))))
(pow.f64 (log.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))))
(pow.f64 (log.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1 binary64)))
(pow.f64 (log.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))
Results
Precisions
Click to see histograms. Total time spent on operations: 0ms

eval423.0ms (2.4%)

Results
Compiler

Compiled 10242 to 8242 computations (19.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

prune178.0ms (1%)

Pruning

43 alts after pruning (29 fresh and 14 done)

PrunedKeptTotal
New4629471
Fresh22022
Picked055
Done099
Total46443507
Accuracy
89.6%
Counts
507 → 43
Alt Table
Click to see full alt table
StatusAccuracyProgram
16.9%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
49.3%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
45.7%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
71.6%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
74.2%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
33.0%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
16.6%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))
44.4%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))))
17.1%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64)))
46.4%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))))) #s(literal 2 binary64)))
46.0%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 im #s(literal 2 binary64)))))
49.1%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3/2 binary64)))
45.9%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
49.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (pow.f64 im #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) #s(literal 2 binary64))))
49.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))))
46.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (exp.f64 (log.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))))))
49.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
26.3%
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
16.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
49.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
51.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64))))
50.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal 2 binary64))))))
49.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
72.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)))))
72.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) re))))
5.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
67.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))))
74.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
69.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))
29.9%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
30.7%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
30.4%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
30.5%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
30.6%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (log.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
30.6%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
44.6%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
46.1%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (/.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 im) (log.f64 im))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im))) #s(literal 1/2 binary64))))
46.0%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (fma.f64 (log.f64 im) (-.f64 (log.f64 im) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
46.4%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 im) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
46.3%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))))
31.0%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
31.1%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64))))
35.0%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 3/2 binary64))))
Results
Compiler

Compiled 1284 to 1082 computations (15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

regimes184.0ms (1%)

Counts
52 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 im) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 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)) (sqrt.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 im)) (cbrt.f64 (sqrt.f64 im))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (pow.f64 im #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (exp.f64 (log.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (log.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (pow.f64 (pow.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (/.f64 (-.f64 (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 im) (log.f64 im))) (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (fma.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64)) (*.f64 (log.f64 im) (-.f64 (log.f64 im) (log.f64 #s(literal 2 binary64)))))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (log.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 im) #s(literal 3 binary64))) (fma.f64 (log.f64 im) (-.f64 (log.f64 im) (log.f64 #s(literal 2 binary64))) (*.f64 (log.f64 #s(literal 2 binary64)) (log.f64 #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
Calls

7 calls:

43.0ms
re
28.0ms
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
26.0ms
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
25.0ms
im
24.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
Results
AccuracySegmentsBranch
82.3%2re
74.8%1im
80.7%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))))
80.7%2(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
80.8%3(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
80.8%3(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
74.8%1(*.f64 im im)
Results
Compiler

Compiled 69 to 45 computations (34.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

regimes44.0ms (0.3%)

Counts
40 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (*.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (+.f64 (log.f64 im) (log.f64 #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 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)) (sqrt.f64 im))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (exp.f64 (log.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 im)) (cbrt.f64 (sqrt.f64 im))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (exp.f64 (log.f64 (hypot.f64 re im))) re))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 3 binary64)) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (pow.f64 im #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/16 binary64))) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im))) #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (exp.f64 (log.f64 (*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 im))))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 (*.f64 #s(literal 2 binary64) im))))) #s(literal 1/3 binary64)) #s(literal 1/2 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
Calls

1 calls:

40.0ms
re
Results
AccuracySegmentsBranch
80.9%2re
Results
Compiler

Compiled 3 to 2 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

regimes54.0ms (0.3%)

Counts
15 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
Calls

2 calls:

29.0ms
im
22.0ms
re
Results
AccuracySegmentsBranch
61.7%4im
71.2%3re
Results
Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

regimes14.0ms (0.1%)

Counts
11 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (+.f64 im re) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1/2 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))
Calls

1 calls:

12.0ms
re
Results
AccuracySegmentsBranch
63.6%2re
Results
Compiler

Compiled 3 to 2 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

regimes8.0ms (0%)

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

1 calls:

7.0ms
re
Results
AccuracySegmentsBranch
63.5%2re
Results
Compiler

Compiled 3 to 2 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

regimes5.0ms (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 im #s(literal 2 binary64))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
Calls

2 calls:

2.0ms
im
1.0ms
re
Results
AccuracySegmentsBranch
49.8%1im
49.8%1re
Results
Compiler

Compiled 6 to 4 computations (33.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

bsearch91.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
82.0ms
-2.9343103279700066e+26
-70866163355.717
Results
20.0ms79×256valid
36.0ms43×2048valid
11.0ms19×1024valid
5.0ms13×512valid
6.0ms4096valid
Compiler

Compiled 342 to 286 computations (16.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
Operation ival-mult, time spent: 21.0ms, 51.0% of total-time
Operation ival-sqrt, time spent: 11.0ms, 27.0% of total-time
Operation ival-add, time spent: 8.0ms, 19.0% of total-time
Operation const, time spent: 1.0ms, 2.0% of total-time

bsearch83.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
78.0ms
-2.9343103279700066e+26
-70866163355.717
Results
19.0ms81×256valid
29.0ms43×2048valid
11.0ms20×1024valid
7.0ms4096valid
8.0ms512valid
Compiler

Compiled 272 to 216 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
Operation ival-mult, time spent: 17.0ms, 44.0% of total-time
Operation ival-sqrt, time spent: 13.0ms, 34.0% of total-time
Operation ival-add, time spent: 7.0ms, 18.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

bsearch76.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
19.0ms
2.5189939772374925e-67
6.38873801660471e-63
48.0ms
-2.9343103279700066e+26
-70866163355.717
Results
31.0ms202×256valid
21.0ms53×2048valid
7.0ms22×1024valid
4.0ms512valid
2.0ms4096valid
Compiler

Compiled 520 to 414 computations (20.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
Operation ival-mult, time spent: 19.0ms, 56.0% of total-time
Operation ival-sqrt, time spent: 8.0ms, 24.0% of total-time
Operation ival-add, time spent: 6.0ms, 18.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

bsearch22.0ms (0.1%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
20.0ms
2.5189939772374925e-67
6.38873801660471e-63
Results
18.0ms128×256valid
Compiler

Compiled 174 to 152 computations (12.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
Operation ival-mult, time spent: 4.0ms, 53.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 26.0% of total-time
Operation ival-add, time spent: 1.0ms, 13.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch33.0ms (0.2%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
30.0ms
2.5189939772374925e-67
6.38873801660471e-63
Results
28.0ms128×256valid
Compiler

Compiled 166 to 144 computations (13.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
Operation ival-mult, time spent: 9.0ms, 64.0% of total-time
Operation ival-sqrt, time spent: 3.0ms, 21.0% of total-time
Operation ival-add, time spent: 2.0ms, 14.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify26.0ms (0.1%)

Algorithm
egg-herbie
Rules
16×*-commutative
+-commutative
sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068446
190446
296446
3101446
4104446
5105446
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 re #s(literal -52000000000000000 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(if (<=.f64 re #s(literal -130000000000000001040187392 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(if (<=.f64 re #s(literal -30000000000000000000000 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (if (<=.f64 re #s(literal 5743287626170883/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))))
(if (<=.f64 re #s(literal 2593742798915883/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re))))
(if (<=.f64 re #s(literal 5928554968950589/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
Outputs
(if (<=.f64 re #s(literal -52000000000000000 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(if (<=.f64 re #s(literal -130000000000000001040187392 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(if (<=.f64 re #s(literal -30000000000000000000000 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (if (<=.f64 re #s(literal 5743287626170883/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))))
(if (<=.f64 re #s(literal -30000000000000000000000 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (if (<=.f64 re #s(literal 5743287626170883/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 im #s(literal 2 binary64)) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re)))))
(if (<=.f64 re #s(literal 2593742798915883/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re))))
(if (<=.f64 re #s(literal 5928554968950589/3705346855594118253554271520278013051304639509300498049262642688253220148477952 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (sqrt.f64 re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
Results
Compiler

Compiled 141 to 113 computations (19.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

soundness544.0ms (3.1%)

Rules
1118×log1p-expm1-u
1118×expm1-log1p-u
714×fma-define
575×fma-define
463×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070722787
1199621895
2680821867
020177
1296177
23462177
042266
1121266
2213266
3333266
4531266
5734266
6941266
71149266
81242266
91252266
Stop Event
saturated
node limit
node limit
Results
Compiler

Compiled 447 to 245 computations (45.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 0ms

end0.0ms (0%)

preprocess119.0ms (0.7%)

Remove

(abs im)

Compiler

Compiled 506 to 370 computations (26.9% saved)

Profiling

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