math.sqrt on complex, real part

Time bar (total: 5.8s)

analyze128.0ms (2.2%)

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

Compiled 18 to 13 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
Operation ival-mult, time spent: 34.0ms, 52.0% of total-time
Operation ival-sqrt, time spent: 18.0ms, 28.0% of total-time
Operation ival-add, time spent: 12.0ms, 18.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

sample2.3s (38.9%)

Results
930.0ms6401×256valid
293.0ms682×2048valid
264.0ms521×4096valid
140.0ms404×1024valid
53.0ms247×512valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 879.0ms
Operation ival-mult, time spent: 423.0ms, 48.0% of total-time
Operation ival-sqrt, time spent: 268.0ms, 31.0% of total-time
Operation ival-add, time spent: 162.0ms, 18.0% of total-time
Operation const, time spent: 26.0ms, 3.0% of total-time
Bogosity

preprocess319.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
250×fmm-def
205×fma-define
61×distribute-rgt-in
43×sub-neg
43×distribute-lft-in
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1210-1(-1.1468090212425726e-160 1.1094046889222735e-157)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
300-0-(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
220-2(-0.00041648608957370407 1.3013713818541986e-160)(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
3331266
4529266
5732266
6939266
71141266
81234266
91244266
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re))))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) im))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re))))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal -1/2 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re)))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (hypot.f64 re im)))))
Symmetry

(abs im)

Compiler

Compiled 173 to 52 computations (69.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
Operation ival-mult, time spent: 80.0ms, 72.0% of total-time
Operation ival-sqrt, time spent: 19.0ms, 17.0% of total-time
Operation ival-add, time spent: 9.0ms, 8.0% of total-time
Operation const, time spent: 3.0ms, 3.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶46.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
▶82.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
Compiler

Compiled 29 to 21 computations (27.6% saved)

localize151.0ms (2.6%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
✓92.8%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
✓89.5%
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
✓56.2%
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
✓100.0%
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
✓100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
✓92.8%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
✓89.5%
(+.f64 re (hypot.f64 re im))
Compiler

Compiled 115 to 34 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
Operation ival-mult, time spent: 33.0ms, 43.0% of total-time
Operation ival-sqrt, time spent: 20.0ms, 26.0% of total-time
Operation composed, time spent: 13.0ms, 17.0% of total-time
Operation ival-add, time spent: 8.0ms, 10.0% of total-time
Operation const, time spent: 3.0ms, 4.0% of total-time

series44.0ms (0.8%)

Counts
8 → 192
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 1/2 binary64) (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 1/2 binary64) (sqrt.f64 (*.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))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<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)))))>
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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 -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))>
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#<alt (*.f64 #s(literal 4 binary64) re)>
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#<alt (+.f64 (*.f64 #s(literal 4 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 2 binary64) im)>
#<alt (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))>
#<alt (*.f64 im (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 re im)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 im (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 re im)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) (*.f64 #s(literal 2 binary64) re)) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 re #s(literal 2 binary64))) im)) (*.f64 #s(literal 2 binary64) re)) im)))))>
#<alt im>
#<alt (+.f64 im (*.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 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))>
#<alt im>
#<alt (+.f64 im 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))>
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#<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))>
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#<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)))>
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#<alt (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))>
Calls

48 calls:

TimeVariablePointExpression
3.0ms
re
@0
(* 1/2 (sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im)))))))
2.0ms
re
@-inf
(sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im))))))
2.0ms
im
@inf
(* 1/2 (sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im)))))))
1.0ms
im
@0
(sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im))))))
1.0ms
re
@inf
(sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im))))))

rewrite260.0ms (4.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
023225
1338225
23744225
Stop Event
1×node limit
Counts
8 → 247
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 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(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 1/2 binary64) (sqrt.f64 (*.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 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #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 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #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 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #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 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #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))))))
(hypot.f64 (sqrt.f64 (*.f64 re #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 re #s(literal 2 binary64))))
(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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) (*.f64 re #s(literal 2 binary64)))
(+.f64 (*.f64 re #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im)) #s(literal 1 binary64)) (*.f64 (*.f64 re #s(literal 2 binary64)) #s(literal 1 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 (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 (-.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 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))))
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(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64)))

simplify209.0ms (3.6%)

Algorithm
1×egg-herbie
Rules
771×fma-define
666×associate-*r*
562×associate-*l*
388×distribute-rgt-in
386×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081626738
1240925300
Stop Event
1×node limit
Counts
439 → 486
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 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
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im
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(*.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))))))
(hypot.f64 (sqrt.f64 (*.f64 re #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 re #s(literal 2 binary64))))
(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 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64)))
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 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 4 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 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 4 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 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im))))
(*.f64 im (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im) 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 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 (neg.f64 im) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 re (neg.f64 (/.f64 (fma.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 (neg.f64 im) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 re (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #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))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) re) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (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))))
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(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
(log.f64 (pow.f64 (exp.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 re (hypot.f64 re im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))

eval301.0ms (5.2%)

Compiler

Compiled 12195 to 9278 computations (23.9% saved)

prune170.0ms (2.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New4797486
Fresh000
Picked202
Done000
Total4817488
Accuracy
91.2%
Counts
488 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶33.7%
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
12.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
50.2%
(*.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))))))
▶50.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
▶4.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
▶53.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
▶82.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
Compiler

Compiled 144 to 114 computations (20.8% saved)

localize166.0ms (2.9%)

Localize:

Found 1 expressions with local error:

NewAccuracyProgram
100.0%
(+.f64 re (hypot.f64 re im))
Compiler

Compiled 110 to 54 computations (50.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
Operation ival-mult, time spent: 30.0ms, 42.0% of total-time
Operation ival-sqrt, time spent: 18.0ms, 25.0% of total-time
Operation composed, time spent: 14.0ms, 20.0% of total-time
Operation ival-add, time spent: 5.0ms, 7.0% of total-time
Operation const, time spent: 3.0ms, 4.0% of total-time
Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

eval39.0ms (0.7%)

Compiler

Compiled 2001 to 1326 computations (33.7% saved)

prune18.0ms (0.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1052107
Fresh022
Picked235
Done000
Total1077114
Accuracy
91.2%
Counts
114 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓33.7%
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
▶12.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
▶50.2%
(*.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))))))
✓4.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
✓82.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
▶53.9%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 im re)))
▶50.4%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))
Compiler

Compiled 68 to 53 computations (22.1% saved)

localize166.0ms (2.9%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓96.6%
(/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))
✓89.8%
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))
Compiler

Compiled 119 to 66 computations (44.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
Operation ival-mult, time spent: 29.0ms, 36.0% of total-time
Operation ival-add, time spent: 16.0ms, 20.0% of total-time
Operation ival-sqrt, time spent: 11.0ms, 14.0% of total-time
Operation ival-pow, time spent: 11.0ms, 14.0% of total-time
Operation ival-div, time spent: 9.0ms, 11.0% of total-time
Operation const, time spent: 4.0ms, 5.0% of total-time
Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

series13.0ms (0.2%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))>
#<alt (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))>
Outputs
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
Calls

12 calls:

TimeVariablePointExpression
3.0ms
im
@inf
(sqrt (/ (pow im 2) (neg re)))
3.0ms
re
@inf
(/ (pow im 2) (neg re))
2.0ms
im
@0
(sqrt (/ (pow im 2) (neg re)))
1.0ms
re
@0
(sqrt (/ (pow im 2) (neg re)))
1.0ms
re
@0
(/ (pow im 2) (neg re))

rewrite81.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
591×unpow-prod-down
478×log1p-expm1-u
478×expm1-log1p-u
431×pow1
275×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01350
114036
2182836
Stop Event
1×node limit
Counts
2 → 148
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))
(/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 im (sqrt.f64 re)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 im (sqrt.f64 re)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 im (sqrt.f64 re))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 im (sqrt.f64 re))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 im (sqrt.f64 re))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 im (sqrt.f64 re))) #s(literal 1 binary64))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (/.f64 im (sqrt.f64 re)) #s(literal 1 binary64))
(*.f64 (/.f64 im (sqrt.f64 re)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 im (sqrt.f64 re)))
(*.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 im (sqrt.f64 re))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (cbrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) (sqrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (sqrt.f64 im) (pow.f64 (/.f64 im re) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 im) (pow.f64 (*.f64 im (/.f64 #s(literal 1 binary64) re)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 4 binary64))) (pow.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 im (sqrt.f64 re)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re)))) (pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) im)
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64)))) (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 im (sqrt.f64 re)))
(*.f64 (pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re)))))
(*.f64 (pow.f64 (/.f64 im #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 im re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 im (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 im (cbrt.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 im #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 im re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 re) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (cbrt.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (sqrt.f64 re)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (sqrt.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re)))))
(/.f64 im (sqrt.f64 re))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64)))) (sqrt.f64 re))
(/.f64 (neg.f64 im) (neg.f64 (sqrt.f64 re)))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1/2 binary64))
(pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 2 binary64))
(pow.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 im (sqrt.f64 re))))
(pow.f64 (sqrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 re) im) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 im (sqrt.f64 re)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 im (sqrt.f64 re)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 im (sqrt.f64 re))))) (sqrt.f64 (log.f64 (/.f64 im (sqrt.f64 re)))))
(fabs.f64 (/.f64 im (sqrt.f64 re)))
(log.f64 (exp.f64 (/.f64 im (sqrt.f64 re))))
(cbrt.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 im (sqrt.f64 re))))
(log1p.f64 (expm1.f64 (/.f64 im (sqrt.f64 re))))
(exp.f64 (log.f64 (/.f64 im (sqrt.f64 re))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 im (sqrt.f64 re)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1 binary64))
(*.f64 im (/.f64 im re))
(*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1 binary64))
(*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (log.f64 (E.f64)))
(*.f64 (/.f64 im (sqrt.f64 re)) (/.f64 im (sqrt.f64 re)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) re)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (pow.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 4 binary64)) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) re))
(*.f64 (/.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) re) (pow.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 re)))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 im #s(literal 1 binary64)) (/.f64 im re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re))
(*.f64 (/.f64 im (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (/.f64 im (cbrt.f64 re)))
(*.f64 (/.f64 im #s(literal -1 binary64)) (/.f64 im re))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal -2 binary64)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (cbrt.f64 re)))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (sqrt.f64 re)) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (sqrt.f64 re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re))
(*.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 5/6 binary64)) (cbrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3/2 binary64)) (sqrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (*.f64 (/.f64 im (sqrt.f64 re)) im) (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) im) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -1 binary64)) (pow.f64 (/.f64 re im) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 re (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) im) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 re) im) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 re) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 re) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) im) #s(literal -1 binary64)) (pow.f64 (/.f64 re im) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 re (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1 binary64))
(pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 4 binary64))
(pow.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(pow.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(neg.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(sqrt.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(cbrt.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 6 binary64)))
(cbrt.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(exp.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(exp.f64 (*.f64 (log.f64 (/.f64 im (sqrt.f64 re))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) #s(literal -1 binary64)))

simplify125.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
307×fma-define
293×fmm-def
255×associate-*r/
236×*-commutative
204×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03686125
16686074
216306005
343555906
Stop Event
1×node limit
Counts
196 → 217
Calls
Call 1
Inputs
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(+.f64 #s(literal 0 binary64) (/.f64 im (sqrt.f64 re)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 im (sqrt.f64 re)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 im (sqrt.f64 re))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 im (sqrt.f64 re))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 im (sqrt.f64 re))))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 im (sqrt.f64 re))) #s(literal 1 binary64))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (/.f64 im (sqrt.f64 re)) #s(literal 1 binary64))
(*.f64 (/.f64 im (sqrt.f64 re)) (log.f64 (E.f64)))
(*.f64 #s(literal 1 binary64) (/.f64 im (sqrt.f64 re)))
(*.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 im (sqrt.f64 re))) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (cbrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) (sqrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (sqrt.f64 im) (pow.f64 (/.f64 im re) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 im) (pow.f64 (*.f64 im (/.f64 #s(literal 1 binary64) re)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 4 binary64))) (pow.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 5/6 binary64)) #s(literal 1/3 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 im (sqrt.f64 re)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re)))) (pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) im)
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64)))) (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 im (sqrt.f64 re)))
(*.f64 (pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re)))))
(*.f64 (pow.f64 (/.f64 im #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 im re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 im (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 im (cbrt.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 im #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 im re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 re) #s(literal -2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (cbrt.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (sqrt.f64 re)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (sqrt.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 5/6 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re)))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re)))) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re)))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 4 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re)))))
(/.f64 im (sqrt.f64 re))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64)))) (sqrt.f64 re))
(/.f64 (neg.f64 im) (neg.f64 (sqrt.f64 re)))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1/2 binary64))
(pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 3 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 6 binary64)) #s(literal 1/6 binary64))
(pow.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 2 binary64))
(pow.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal -1/2 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 im (sqrt.f64 re))))
(pow.f64 (sqrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 re) im) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 im (sqrt.f64 re)))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 im (sqrt.f64 re)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 im (sqrt.f64 re))))) (sqrt.f64 (log.f64 (/.f64 im (sqrt.f64 re)))))
(fabs.f64 (/.f64 im (sqrt.f64 re)))
(log.f64 (exp.f64 (/.f64 im (sqrt.f64 re))))
(cbrt.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 im (sqrt.f64 re))))
(log1p.f64 (expm1.f64 (/.f64 im (sqrt.f64 re))))
(exp.f64 (log.f64 (/.f64 im (sqrt.f64 re))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re)))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 (/.f64 im (sqrt.f64 re)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re)))) #s(literal 2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1 binary64))
(*.f64 im (/.f64 im re))
(*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1 binary64))
(*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (log.f64 (E.f64)))
(*.f64 (/.f64 im (sqrt.f64 re)) (/.f64 im (sqrt.f64 re)))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) re)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (pow.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 4 binary64)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 4 binary64)) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) re))
(*.f64 (/.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) re) (pow.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 re)))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 im #s(literal 1 binary64)) (/.f64 im re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re))
(*.f64 (/.f64 im (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (/.f64 im (cbrt.f64 re)))
(*.f64 (/.f64 im #s(literal -1 binary64)) (/.f64 im re))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal -2 binary64)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (cbrt.f64 re)))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal -2 binary64)) (pow.f64 (/.f64 (cbrt.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (sqrt.f64 re)) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (sqrt.f64 re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re))
(*.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 5/6 binary64)) (cbrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3/2 binary64)) (sqrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (*.f64 (/.f64 im (sqrt.f64 re)) im) (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 2 binary64)) #s(literal 3 binary64)) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 5 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) im) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 5/2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) #s(literal 2 binary64)) #s(literal -1 binary64)) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal -1 binary64)) (pow.f64 (/.f64 re im) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 re (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) im) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 re) im) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 re) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 re) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sqrt.f64 re) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) im) #s(literal -1 binary64)) (pow.f64 (/.f64 re im) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 re (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1 binary64))
(pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 6 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 4 binary64))
(pow.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (E.f64) (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(pow.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(neg.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(sqrt.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(cbrt.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 6 binary64)))
(cbrt.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(exp.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(exp.f64 (*.f64 (log.f64 (/.f64 im (sqrt.f64 re))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) #s(literal -1 binary64)))
Outputs
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
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(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 5 binary64)) (/.f64 (cbrt.f64 im) re))
(/.f64 (pow.f64 (cbrt.f64 im) #s(literal 6 binary64)) re)
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) im) #s(literal -1 binary64)) (pow.f64 (/.f64 re im) #s(literal -1 binary64)))
(/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 re (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 4 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 4 binary64))) (neg.f64 re))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 5 binary64)) (/.f64 (cbrt.f64 im) (neg.f64 re)))
(/.f64 (pow.f64 (cbrt.f64 im) #s(literal 6 binary64)) (neg.f64 re))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1 binary64))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 2 binary64))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 6 binary64))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3 binary64)) #s(literal 2/3 binary64))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 4 binary64)))
(pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 6 binary64)))
(pow.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 4 binary64))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 re (pow.f64 im #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal -2 binary64)))
(pow.f64 (E.f64) (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 1/3 binary64))
(cbrt.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 3 binary64))))
(pow.f64 (/.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 re (pow.f64 im #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal -2 binary64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (sqrt.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(neg.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))
(sqrt.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 4 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(cbrt.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 6 binary64)))
(cbrt.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(exp.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(exp.f64 (*.f64 (log.f64 (/.f64 im (sqrt.f64 re))) #s(literal 2 binary64)))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 3 binary64)))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 6 binary64))) #s(literal 1/3 binary64)))
(cbrt.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 6 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 re (pow.f64 im #s(literal -2 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 re (pow.f64 im #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal -2 binary64)))

eval62.0ms (1.1%)

Compiler

Compiled 2996 to 1969 computations (34.3% saved)

prune36.0ms (0.6%)

Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New2134217
Fresh000
Picked044
Done123
Total21410224
Accuracy
92.7%
Counts
224 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓33.7%
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
▶12.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 6 binary64)) (neg.f64 re))))
✓12.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
✓50.2%
(*.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))))))
▶14.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) im) #s(literal -1 binary64)) (pow.f64 (/.f64 re im) #s(literal -1 binary64)))))
▶14.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 im #s(literal -1 binary64)) (/.f64 im re))))
▶4.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 im re))))
✓82.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
✓53.9%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 im re)))
✓50.4%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))
Compiler

Compiled 107 to 83 computations (22.4% saved)

localize247.0ms (4.3%)

Compiler

Compiled 157 to 81 computations (48.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 160.0ms
Operation ival-pow, time spent: 86.0ms, 54.0% of total-time
Operation ival-div, time spent: 29.0ms, 18.0% of total-time
Operation ival-mult, time spent: 22.0ms, 14.0% of total-time
Operation ival-sqrt, time spent: 15.0ms, 9.0% of total-time
Operation const, time spent: 5.0ms, 3.0% of total-time
Operation ival-cbrt, time spent: 2.0ms, 1.0% of total-time
Operation ival-neg, time spent: 1.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune8.0ms (0.1%)

Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New000
Fresh000
Picked044
Done066
Total01010
Accuracy
92.7%
Counts
10 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓33.7%
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
✓12.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 6 binary64)) (neg.f64 re))))
✓12.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
✓50.2%
(*.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))))))
✓14.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) im) #s(literal -1 binary64)) (pow.f64 (/.f64 re im) #s(literal -1 binary64)))))
✓14.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 im #s(literal -1 binary64)) (/.f64 im re))))
✓4.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 im re))))
✓82.0%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
✓53.9%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 im re)))
✓50.4%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))
Compiler

Compiled 244 to 176 computations (27.9% saved)

regimes50.0ms (0.9%)

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

7 calls:

11.0ms
re
9.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
8.0ms
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
6.0ms
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
6.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
Results
AccuracySegmentsBranch
88.3%2re
82.0%1im
85.5%2(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
85.5%2(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
85.2%2(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
85.2%2(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
82.0%1(*.f64 im im)
Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes14.0ms (0.2%)

Counts
9 → 3
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 im re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 im re))))
(*.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 (/.f64 im #s(literal -1 binary64)) (/.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 im #s(literal -1 binary64)) (/.f64 im re))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
Calls

2 calls:

8.0ms
re
5.0ms
im
Results
AccuracySegmentsBranch
66.6%2im
78.3%3re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts
7 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 im re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im (/.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
Outputs
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
Calls

1 calls:

5.0ms
re
Results
AccuracySegmentsBranch
72.1%2re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
re
1.0ms
im
Results
AccuracySegmentsBranch
50.4%1im
50.4%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch60.0ms (1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
60.0ms
-2.317639497202613e+167
-3.3027631283714955e+160
Results
18.0ms45×2048valid
11.0ms34×1024valid
4.0ms29×256valid
17.0ms28×4096valid
2.0ms7×512valid
0.0ms1×4096valid
Compiler

Compiled 238 to 178 computations (25.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
Operation ival-mult, time spent: 16.0ms, 52.0% of total-time
Operation ival-sqrt, time spent: 9.0ms, 29.0% of total-time
Operation ival-add, time spent: 5.0ms, 16.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

bsearch83.0ms (1.4%)

Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
26.0ms
4.932798270465031e-85
9.939987730654412e-79
56.0ms
-2.317639497202613e+167
-3.3027631283714955e+160
Results
27.0ms181×256valid
17.0ms36×4096valid
15.0ms35×2048valid
9.0ms29×1024valid
1.0ms6×512valid
0.0ms1×256valid
Compiler

Compiled 328 to 268 computations (18.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
Operation ival-mult, time spent: 19.0ms, 53.0% of total-time
Operation ival-sqrt, time spent: 10.0ms, 28.0% of total-time
Operation ival-add, time spent: 6.0ms, 17.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

bsearch24.0ms (0.4%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
24.0ms
4.932798270465031e-85
9.939987730654412e-79
Results
21.0ms143×256valid
0.0ms1×256valid
Compiler

Compiled 148 to 124 computations (16.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
Operation ival-mult, time spent: 4.0ms, 49.0% of total-time
Operation ival-add, time spent: 2.0ms, 24.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 24.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
5×*-commutative
3×1-exp
1×*-lft-identity
1×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039214
151214
Stop Event
1×done
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 re #s(literal -43999999999999998414200810593406629672250887579199791872016030401307561306993821251822441752091642885408245030728390758956341844809617796298426606488957254369280 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 im #s(literal -1 binary64)) (/.f64 im re)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(if (<=.f64 re #s(literal -34000000000000003031539558616712711176190090120062983376464399853243775817891079547369712471751206030051057155779171713502988409271008609114205576770946932408320 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 im #s(literal -1 binary64)) (/.f64 im re)))) (if (<=.f64 re #s(literal 1922388332328819/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) (*.f64 #s(literal 1 binary64) (sqrt.f64 re))))
(if (<=.f64 re #s(literal 4088412685942367/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) (*.f64 #s(literal 1 binary64) (sqrt.f64 re)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))
Outputs
(if (<=.f64 re #s(literal -43999999999999998414200810593406629672250887579199791872016030401307561306993821251822441752091642885408245030728390758956341844809617796298426606488957254369280 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 im #s(literal -1 binary64)) (/.f64 im re)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(if (<=.f64 re #s(literal -34000000000000003031539558616712711176190090120062983376464399853243775817891079547369712471751206030051057155779171713502988409271008609114205576770946932408320 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 im #s(literal -1 binary64)) (/.f64 im re)))) (if (<=.f64 re #s(literal 1922388332328819/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) (*.f64 #s(literal 1 binary64) (sqrt.f64 re))))
(if (<=.f64 re #s(literal -34000000000000003031539558616712711176190090120062983376464399853243775817891079547369712471751206030051057155779171713502988409271008609114205576770946932408320 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 (/.f64 im #s(literal -1 binary64)) (/.f64 im re)))) (if (<=.f64 re #s(literal 1922388332328819/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) (sqrt.f64 re)))
(if (<=.f64 re #s(literal 4088412685942367/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) (*.f64 #s(literal 1 binary64) (sqrt.f64 re)))
(if (<=.f64 re #s(literal 4088412685942367/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) im)) (sqrt.f64 re))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) im))
Compiler

Compiled 68 to 50 computations (26.5% saved)

soundness671.0ms (11.6%)

Rules
771×fma-define
764×log1p-expm1-u
764×expm1-log1p-u
721×fma-define
666×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023225
1338225
23744225
042266
1121266
2213266
3331266
4529266
5732266
6939266
71141266
81234266
91244266
081626738
1240925300
01350
114036
2182836
Stop Event
1×node limit
1×node limit
1×saturated
1×node limit
Compiler

Compiled 563 to 286 computations (49.2% saved)

end0.0ms (0%)

preprocess83.0ms (1.4%)

Remove

(abs im)

Compiler

Compiled 336 to 222 computations (33.9% saved)

Profiling

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