math.sqrt on complex, real part

Time bar (total: 9.4s)

analyze132.0ms (1.4%)

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

Compiled 18 to 13 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
Operation ival-mult, time spent: 31.0ms, 46.0% of total-time
Operation ival-sqrt, time spent: 21.0ms, 31.0% of total-time
Operation ival-add, time spent: 13.0ms, 19.0% of total-time
Operation const, time spent: 2.0ms, 3.0% of total-time

sample2.2s (23.9%)

Results
1.2s6397×256valid
272.0ms643×2048valid
272.0ms533×4096valid
231.0ms426×1024valid
56.0ms256×512valid
0.0ms256valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
Operation ival-mult, time spent: 658.0ms, 58.0% of total-time
Operation ival-sqrt, time spent: 279.0ms, 24.0% of total-time
Operation ival-add, time spent: 176.0ms, 15.0% of total-time
Operation const, time spent: 28.0ms, 2.0% of total-time
Bogosity

preprocess300.0ms (3.2%)

Algorithm
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
1270-1(-1.0887638510748744e-240 1.7336959654555473e-157)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
410-0-(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
300-1(-3.363607113554085e+58 1.3758818995882562e-131)(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
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: 79.0ms
Operation ival-mult, time spent: 43.0ms, 54.0% of total-time
Operation ival-sqrt, time spent: 22.0ms, 28.0% of total-time
Operation ival-add, time spent: 10.0ms, 13.0% of total-time
Operation const, time spent: 4.0ms, 5.0% 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
39.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
74.9%
(*.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)

localize172.0ms (1.8%)

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))))
89.9%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
85.2%
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
54.3%
(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)))))
89.9%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
85.2%
(+.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: 99.0ms
Operation ival-mult, time spent: 44.0ms, 44.0% of total-time
Operation composed, time spent: 22.0ms, 22.0% of total-time
Operation ival-sqrt, time spent: 21.0ms, 21.0% of total-time
Operation ival-add, time spent: 10.0ms, 10.0% of total-time
Operation const, time spent: 3.0ms, 3.0% of total-time

series42.0ms (0.4%)

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
5.0ms
re
@inf
(sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im))))))
4.0ms
re
@inf
(* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))))
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))))))

rewrite276.0ms (2.9%)

Algorithm
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
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))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) (fma.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re) (pow.f64 re #s(literal 2 binary64))))
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(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)))

simplify225.0ms (2.4%)

Algorithm
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
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))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
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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)))))

eval309.0ms (3.3%)

Compiler

Compiled 12195 to 9278 computations (23.9% saved)

prune143.0ms (1.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New47610486
Fresh000
Picked202
Done000
Total47810488
Accuracy
87.8%
Counts
488 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
43.5%
(*.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))))))
25.1%
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
18.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
49.6%
(*.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))))))
50.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
6.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
51.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
15.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))))
75.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
Compiler

Compiled 260 to 212 computations (18.5% saved)

localize216.0ms (2.3%)

Compiler

Compiled 153 to 78 computations (49% saved)

Precisions
Click to see histograms. Total time spent on operations: 114.0ms
Operation ival-mult, time spent: 40.0ms, 35.0% of total-time
Operation ival-add, time spent: 21.0ms, 18.0% of total-time
Operation ival-sqrt, time spent: 16.0ms, 14.0% of total-time
Operation composed, time spent: 12.0ms, 11.0% of total-time
Operation ival-pow, time spent: 11.0ms, 10.0% of total-time
Operation ival-div, time spent: 8.0ms, 7.0% of total-time
Operation const, time spent: 4.0ms, 4.0% 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)

prune7.0ms (0.1%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New000
Fresh055
Picked055
Done000
Total01010
Accuracy
87.8%
Counts
10 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
43.5%
(*.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))))))
25.1%
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
18.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
49.6%
(*.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))))))
50.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
6.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
51.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
15.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))))
75.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
Compiler

Compiled 207 to 171 computations (17.4% saved)

localize780.0ms (8.3%)

Localize:

Found 9 expressions with local error:

NewAccuracyProgram
99.3%
(/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))
94.2%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))
93.2%
(*.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))))))
81.9%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))
94.4%
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re)
88.7%
(/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))
86.8%
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
84.8%
(sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re)))
99.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
Compiler

Compiled 305 to 229 computations (24.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 463.0ms
Operation ival-mult, time spent: 169.0ms, 36.0% of total-time
Operation ival-pow, time spent: 121.0ms, 26.0% of total-time
Operation ival-sqrt, time spent: 98.0ms, 21.0% of total-time
Operation ival-div, time spent: 49.0ms, 11.0% of total-time
Operation const, time spent: 14.0ms, 3.0% of total-time
Operation ival-add, time spent: 12.0ms, 3.0% of total-time
Operation ival-neg, time spent: 1.0ms, 0.0% of total-time

series103.0ms (1.1%)

Counts
9 → 104
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re)))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re)>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))))))))>
#<alt (*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/1024 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64))))))))))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 9 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 9 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))))>
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#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (/.f64 (sqrt.f64 #s(literal 2 binary64)) re)))))>
#<alt (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (/.f64 (sqrt.f64 #s(literal 2 binary64)) re))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (/.f64 (sqrt.f64 #s(literal 2 binary64)) re))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (/.f64 (sqrt.f64 #s(literal 2 binary64)) re))) (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
Calls

45 calls:

TimeVariablePointExpression
66.0ms
im
@inf
(* (* 1/2 (sqrt im)) (sqrt 2))
4.0ms
im
@-inf
(* (sqrt (/ 1 (pow im 3))) (* re (sqrt 2)))
4.0ms
re
@0
(sqrt (* -1 (/ (+ (* -1/4 (/ (pow im 4) (pow re 2))) (pow im 2)) re)))
2.0ms
im
@-inf
(* (* 1/2 (sqrt im)) (sqrt 2))
2.0ms
re
@0
(* im (+ (* 1/4 (* (sqrt (/ 1 (pow im 3))) (* re (sqrt 2)))) (* 1/2 (* (sqrt (/ 1 im)) (sqrt 2)))))

rewrite119.0ms (1.3%)

Algorithm
batch-egg-rewrite
Rules
311×associate-*r*
274×log1p-expm1-u
274×expm1-log1p-u
269×add-cube-cbrt
266×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041333
1640307
Stop Event
node limit
Counts
9 → 277
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))
(*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (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 binary64) (pow.f64 im #s(literal 3 binary64)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 im #s(literal 1/4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/4 binary64))) #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/4 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re)))
(*.f64 (cbrt.f64 (/.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) re)))
(*.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) re)) (cbrt.f64 (/.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re)))
(*.f64 (/.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (/.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (sqrt.f64 (/.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))))
(*.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) re) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) re))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) (sqrt.f64 re))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 re)))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) re) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (/.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) #s(literal 2 binary64))
(fabs.f64 (/.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re)))
(log.f64 (exp.f64 (/.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re)))))
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))))
(log1p.f64 (expm1.f64 (/.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))))
(exp.f64 (log.f64 (/.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (/.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/16 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal -1/4 binary64))) (pow.f64 im #s(literal 2 binary64)))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal -1/4 binary64))) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))) (hypot.f64 im (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (sqrt.f64 #s(literal -1/4 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal -1/4 binary64))) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/16 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))))))))
(*.f64 (-.f64 (*.f64 (/.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/16 binary64)) (pow.f64 im #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal -1/4 binary64))) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (/.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/16 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)))))) (+.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal -1/4 binary64))) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal -1/4 binary64))) (pow.f64 im #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/16 binary64)) (pow.f64 im #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal -1/4 binary64))) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64))) (+.f64 (*.f64 (/.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/16 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/16 binary64)) (pow.f64 im #s(literal 4 binary64))) (-.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal -1/4 binary64))) (pow.f64 im #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal -1/4 binary64))) #s(literal 3 binary64)) (pow.f64 im #s(literal 6 binary64)))) (neg.f64 (+.f64 (*.f64 (/.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 re #s(literal 4 binary64))) #s(literal 1/16 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 2 binary64))))))))
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(exp.f64 (log.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re))))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re))))) #s(literal 1 binary64)))
(fma.f64 im (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)) im (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (pow.f64 im #s(literal -3/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) re) (pow.f64 im #s(literal 3/2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (pow.f64 im #s(literal -3/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (pow.f64 im #s(literal -3/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (pow.f64 im #s(literal -3/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal -3 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (pow.f64 im #s(literal -3/2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (pow.f64 im #s(literal -3/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal -3 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) re) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal -3 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (pow.f64 im #s(literal -3/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (pow.f64 im #s(literal -3/2 binary64))))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (pow.f64 im #s(literal -3/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (pow.f64 im #s(literal -3/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal -3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 im #s(literal 3 binary64)))))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal -3 binary64)))
(*.f64 (pow.f64 im #s(literal -3/2 binary64)) (pow.f64 im #s(literal -3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) im) (pow.f64 im #s(literal -2 binary64)))
(*.f64 (pow.f64 im #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) im))
(*.f64 (sqrt.f64 (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 (pow.f64 im #s(literal -3/2 binary64))) (pow.f64 im #s(literal -3/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 im) #s(literal -3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal -3 binary64)) (pow.f64 (cbrt.f64 im) #s(literal -3 binary64)))
(*.f64 (*.f64 (pow.f64 im #s(literal -3/2 binary64)) (sqrt.f64 (pow.f64 im #s(literal -3/2 binary64)))) (sqrt.f64 (pow.f64 im #s(literal -3/2 binary64))))
(*.f64 (*.f64 (pow.f64 im #s(literal -3/2 binary64)) #s(literal 1 binary64)) (pow.f64 im #s(literal -3/2 binary64)))
(*.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) im))
(*.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) (pow.f64 im #s(literal -1/2 binary64))) (pow.f64 im #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) (cbrt.f64 (pow.f64 im #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 im)))
(*.f64 (*.f64 (pow.f64 im #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) im)) (pow.f64 im #s(literal -1/2 binary64)))
(pow.f64 im #s(literal -3 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 im #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 im #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 3 binary64))
(pow.f64 (pow.f64 im #s(literal -6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 im #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 im #s(literal -6 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal -3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal -3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal -3 binary64))))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 im)))
(exp.f64 (*.f64 (log.f64 im) #s(literal -3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 im)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 im)) #s(literal 1 binary64)))

simplify320.0ms (3.4%)

Algorithm
egg-herbie
Rules
496×*-commutative
361×fma-define
329×distribute-lft-neg-in
311×distribute-rgt-neg-in
296×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
083421200
1207120629
2527319764
Stop Event
node limit
Counts
381 → 515
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))))))))
(*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 #s(literal -1/1024 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64))))))))))))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.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 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 9 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -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 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 9 binary64))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))))))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 re #s(literal 5 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re)) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re)) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 re)))))))) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/1024 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 7 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64)))))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
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(cbrt.f64 (pow.f64 (pow.f64 im #s(literal -3 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal -3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal -3/2 binary64))))
(exp.f64 (log.f64 (pow.f64 im #s(literal -3/2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 im)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 im #s(literal -3/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 im (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re))) (*.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)))))
(+.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)))) (*.f64 im (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re))))
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)) im) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)))
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)) im))
(+.f64 (*.f64 (*.f64 im (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re))) #s(literal 1 binary64)) (*.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)) im) #s(literal 1 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 im (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re))) #s(literal 3 binary64)) (pow.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 im (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re))) (*.f64 im (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)))) (-.f64 (*.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)))) (*.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im))))) (*.f64 (*.f64 im (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re))) (*.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)) im) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)) im) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)) im)) (-.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)) im) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im))))))
(/.f64 (-.f64 (*.f64 (*.f64 im (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re))) (*.f64 im (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)))) (*.f64 (*.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)))) (*.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)))))) (-.f64 (*.f64 im (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re))) (*.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)) im) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)) im)) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)))) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)) im) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im))))
(pow.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)))) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)))))))
(cbrt.f64 (pow.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re))) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re))))))
(log1p.f64 (expm1.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re))))))
(exp.f64 (log.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re))))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)) (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re))))) #s(literal 1 binary64)))
(fma.f64 im (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)) (*.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im)))))
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)) im (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (pow.f64 im #s(literal -3/2 binary64)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) re) (pow.f64 im #s(literal 3/2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (pow.f64 im #s(literal -3/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal -1/2 binary64)) (cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (pow.f64 im #s(literal -3/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (pow.f64 im #s(literal -3/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal -3 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 re #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (pow.f64 im #s(literal -3/2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (pow.f64 im #s(literal -3/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal -3 binary64)) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) re) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) re) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal -3 binary64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (pow.f64 im #s(literal -3/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (pow.f64 im #s(literal -3/2 binary64))))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (pow.f64 im #s(literal -3/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (pow.f64 im #s(literal -3/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal -3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 im #s(literal 3 binary64)))))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal -3 binary64)))
(*.f64 (pow.f64 im #s(literal -3/2 binary64)) (pow.f64 im #s(literal -3/2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) im) (pow.f64 im #s(literal -2 binary64)))
(*.f64 (pow.f64 im #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) im))
(*.f64 (sqrt.f64 (pow.f64 im #s(literal -3/2 binary64))) (*.f64 (sqrt.f64 (pow.f64 im #s(literal -3/2 binary64))) (pow.f64 im #s(literal -3/2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 im) #s(literal -3 binary64)) (pow.f64 (sqrt.f64 im) #s(literal -3 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal -3 binary64)) (pow.f64 (cbrt.f64 im) #s(literal -3 binary64)))
(*.f64 (*.f64 (pow.f64 im #s(literal -3/2 binary64)) (sqrt.f64 (pow.f64 im #s(literal -3/2 binary64)))) (sqrt.f64 (pow.f64 im #s(literal -3/2 binary64))))
(*.f64 (*.f64 (pow.f64 im #s(literal -3/2 binary64)) #s(literal 1 binary64)) (pow.f64 im #s(literal -3/2 binary64)))
(*.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) im))
(*.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) (pow.f64 im #s(literal -1/2 binary64))) (pow.f64 im #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 im #s(literal -2 binary64)) (cbrt.f64 (pow.f64 im #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 im)))
(*.f64 (*.f64 (pow.f64 im #s(literal -3/2 binary64)) (/.f64 #s(literal 1 binary64) im)) (pow.f64 im #s(literal -1/2 binary64)))
(pow.f64 im #s(literal -3 binary64))
(pow.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 im #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 im #s(literal -3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 3 binary64))
(pow.f64 (pow.f64 im #s(literal -6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (pow.f64 im #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 3 binary64))))
(sqrt.f64 (pow.f64 im #s(literal -6 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal -3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal -3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal -3 binary64))))
(exp.f64 (*.f64 #s(literal -3 binary64) (log.f64 im)))
(exp.f64 (*.f64 (log.f64 im) #s(literal -3 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 im)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 im)) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 im) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 im) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 im) #s(literal -1/2 binary64)))
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(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (log.f64 im)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))
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(exp.f64 (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 im)) #s(literal 1 binary64)))
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eval528.0ms (5.6%)

Compiler

Compiled 14138 to 11324 computations (19.9% saved)

prune129.0ms (1.4%)

Pruning

21 alts after pruning (13 fresh and 8 done)

PrunedKeptTotal
New50213515
Fresh000
Picked235
Done055
Total50421525
Accuracy
87.8%
Counts
525 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
33.2%
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
49.6%
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))
49.0%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))
49.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
25.1%
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
18.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
49.6%
(*.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))))))
50.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
6.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
51.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
15.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal -1 binary64)))))
15.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 3 binary64)))))
16.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 im im (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal -1/4 binary64)))) re))))
15.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))))
6.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 re #s(literal 3 binary64))))))
16.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 (pow.f64 im #s(literal 4 binary64)) re))) (pow.f64 im #s(literal 2 binary64))) re))))
8.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) re))))
7.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 3 binary64))))))))
75.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
46.6%
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
35.1%
(cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/4 binary64))) #s(literal 3 binary64)))))
Compiler

Compiled 579 to 481 computations (16.9% saved)

localize926.0ms (9.9%)

Localize:

Found 16 expressions with local error:

NewAccuracyProgram
94.4%
(/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))
88.7%
(*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))
86.8%
(fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))
84.8%
(sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal -1 binary64))))
94.1%
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 3 binary64))))
92.6%
(*.f64 re (pow.f64 im #s(literal 2 binary64)))
84.8%
(sqrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 3 binary64)))))))
76.1%
(*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 3 binary64)))))
96.7%
(/.f64 (pow.f64 im #s(literal 4 binary64)) re)
94.4%
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 (pow.f64 im #s(literal 4 binary64)) re))) (pow.f64 im #s(literal 2 binary64))) re)
86.8%
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 (pow.f64 im #s(literal 4 binary64)) re))) (pow.f64 im #s(literal 2 binary64)))
84.8%
(sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 (pow.f64 im #s(literal 4 binary64)) re))) (pow.f64 im #s(literal 2 binary64))) re)))
100.0%
(log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))
95.8%
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
99.9%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))
99.6%
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))
Compiler

Compiled 451 to 343 computations (23.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 587.0ms
Operation ival-pow, time spent: 280.0ms, 48.0% of total-time
Operation ival-mult, time spent: 117.0ms, 20.0% of total-time
Operation ival-div, time spent: 79.0ms, 13.0% of total-time
Operation ival-sqrt, time spent: 32.0ms, 5.0% of total-time
Operation composed, time spent: 24.0ms, 4.0% of total-time
Operation const, time spent: 21.0ms, 4.0% of total-time
Operation ival-add, time spent: 15.0ms, 3.0% of total-time
Operation ival-log, time spent: 9.0ms, 2.0% of total-time
Operation ival-sub, time spent: 6.0ms, 1.0% of total-time
Operation ival-exp, time spent: 4.0ms, 1.0% of total-time

series266.0ms (2.8%)

Counts
16 → 312
Calls
Call 1
Inputs
#<alt (pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))>
#<alt (exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))>
#<alt (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))>
#<alt (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 (pow.f64 im #s(literal 4 binary64)) re))) (pow.f64 im #s(literal 2 binary64))) re)))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 (pow.f64 im #s(literal 4 binary64)) re))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 (pow.f64 im #s(literal 4 binary64)) re))) (pow.f64 im #s(literal 2 binary64))) re)>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) re)>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (sqrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 3 binary64)))))))>
#<alt (*.f64 re (pow.f64 im #s(literal 2 binary64)))>
#<alt (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 3 binary64))))>
#<alt (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal -1 binary64))))>
#<alt (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))>
#<alt (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))>
Outputs
#<alt (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
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#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (*.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -64 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 8 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 6 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (*.f64 (pow.f64 re #s(literal 3 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -256 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 10 binary64)))) (*.f64 #s(literal 64 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 8 binary64)))))) (*.f64 #s(literal 16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 6 binary64)))))) (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 4 binary64))))))>
#<alt (/.f64 re (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 re (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 re (-.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64))))))>
#<alt (/.f64 re (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 re (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (-.f64 (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt (/.f64 re (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 re (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 re (*.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 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) re))))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/64 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) re))))) (pow.f64 im #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (/.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -4 binary64) (pow.f64 re #s(literal 3 binary64)))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -64 binary64) (/.f64 (pow.f64 re #s(literal 7 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal -4 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -256 binary64) (/.f64 (pow.f64 re #s(literal 9 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal -4 binary64) (pow.f64 re #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 64 binary64) (/.f64 (pow.f64 re #s(literal 7 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (*.f64 #s(literal -4 binary64) (/.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 im #s(literal 4 binary64))))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -16 binary64) (/.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal -4 binary64) (pow.f64 re #s(literal 3 binary64)))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -64 binary64) (/.f64 (pow.f64 re #s(literal 7 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal -4 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 im #s(literal 4 binary64)))>
#<alt (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -256 binary64) (/.f64 (pow.f64 re #s(literal 9 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal -4 binary64) (pow.f64 re #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 64 binary64) (/.f64 (pow.f64 re #s(literal 7 binary64)) (pow.f64 im #s(literal 4 binary64)))))) (pow.f64 im #s(literal 4 binary64)))>
Calls

84 calls:

TimeVariablePointExpression
84.0ms
im
@-inf
(log (* 1/2 (sqrt (* im 2))))
47.0ms
im
@0
(sqrt (* 1/2 (sqrt (* im 2))))
30.0ms
re
@-inf
(/ (pow im 4) re)
15.0ms
im
@0
(log (* 1/2 (sqrt (* im 2))))
8.0ms
im
@inf
(log (* 1/2 (sqrt (* im 2))))

rewrite217.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
323×log1p-expm1-u
323×expm1-log1p-u
316×pow1
312×add-exp-log
312×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
050646
1780617
Stop Event
node limit
Counts
16 → 397
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 (pow.f64 im #s(literal 4 binary64)) re))) (pow.f64 im #s(literal 2 binary64))) re)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 (pow.f64 im #s(literal 4 binary64)) re))) (pow.f64 im #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 (pow.f64 im #s(literal 4 binary64)) re))) (pow.f64 im #s(literal 2 binary64))) re)
(/.f64 (pow.f64 im #s(literal 4 binary64)) re)
(*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 3 binary64)))))
(sqrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 3 binary64)))))))
(*.f64 re (pow.f64 im #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 3 binary64))))
(sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal -1 binary64))))
(fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))
(/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
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(*.f64 (pow.f64 (cbrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) (sqrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 re) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 re) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 re (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) (/.f64 re (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (cbrt.f64 re) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 re) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 re) (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) re) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)))

simplify382.0ms (4.1%)

Algorithm
egg-herbie
Rules
666×associate-*l*
378×fma-define
334×associate-/r*
287×*-commutative
254×times-frac
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0118039699
1271838432
Stop Event
node limit
Counts
709 → 696
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) im) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))
(log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im))))
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(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) im))))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (pow.f64 re #s(literal 5 binary64))) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re))) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re)) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))))) (pow.f64 re #s(literal 2 binary64)))
(/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 re)) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 re)))))))) (pow.f64 re #s(literal 2 binary64)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/128 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/1024 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 7 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64)))))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
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(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))) (pow.f64 im #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))))
(pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 re (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) (sqrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 re) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (/.f64 (sqrt.f64 re) (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 re (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) (/.f64 re (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (cbrt.f64 re) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (/.f64 (sqrt.f64 re) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 re) (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) re) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(exp.f64 (log.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)))
Outputs
(*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 im) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
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(*.f64 (sqrt.f64 im) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (/.f64 re (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64)) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) (/.f64 (cbrt.f64 re) (sqrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))
(/.f64 re (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 re) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 re) (cbrt.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))
(/.f64 re (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))
(/.f64 re (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(pow.f64 (cbrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))
(/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))
(/.f64 re (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(pow.f64 (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))
(/.f64 re (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(pow.f64 (sqrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))
(/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))
(/.f64 re (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) re) #s(literal -1 binary64))
(/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))
(/.f64 re (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 re (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(log.f64 (exp.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))
(/.f64 re (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))))))
(/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))
(/.f64 re (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)))
(/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))
(/.f64 re (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64))))
(/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))
(/.f64 re (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(expm1.f64 (log1p.f64 (/.f64 re (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))
(/.f64 re (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (log.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))))
(/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))
(/.f64 re (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64)) (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) #s(literal 1 binary64)))
(/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))
(/.f64 re (fma.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal -2 binary64)) (pow.f64 im #s(literal 2 binary64))))

eval507.0ms (5.4%)

Compiler

Compiled 18354 to 14974 computations (18.4% saved)

prune275.0ms (2.9%)

Pruning

33 alts after pruning (23 fresh and 10 done)

PrunedKeptTotal
New67917696
Fresh268
Picked325
Done088
Total68433717
Accuracy
87.8%
Counts
717 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
46.0%
(pow.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
33.2%
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
48.6%
(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))) #s(literal 3 binary64)) #s(literal 2 binary64))
49.6%
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))
44.8%
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))))
46.5%
(pow.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
46.2%
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
49.3%
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3/2 binary64))) #s(literal 2 binary64))
49.0%
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))
49.6%
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
25.1%
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
18.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
49.6%
(*.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))))))
50.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
6.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
51.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
15.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal -1 binary64)))))
18.3%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))))
15.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 3 binary64)))))
16.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 im im (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal -1/4 binary64)))) re))))
15.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))))
6.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 re #s(literal 3 binary64))))))
7.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal 2 binary64)))))))
75.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
31.9%
(exp.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
44.8%
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))) #s(literal 3 binary64)))
46.5%
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) (log.f64 #s(literal 1/2 binary64))))
44.7%
(exp.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))))
46.6%
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
32.7%
(exp.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))))
32.5%
(exp.f64 (exp.f64 (log.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))))
45.9%
(exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))))
35.1%
(cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/4 binary64))) #s(literal 3 binary64)))))
Compiler

Compiled 1073 to 905 computations (15.7% saved)

regimes105.0ms (1.1%)

Counts
42 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1 binary64) (sqrt.f64 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 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 im)) (sqrt.f64 #s(literal 2 binary64)))
(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))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal 2 binary64)))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 (pow.f64 im #s(literal 4 binary64)) re))) (pow.f64 im #s(literal 2 binary64))) re))))
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) (log.f64 #s(literal 1/2 binary64))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3/2 binary64))) #s(literal 2 binary64))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/4 binary64))) #s(literal 3 binary64)))))
(pow.f64 (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 im im (*.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal -1/4 binary64)))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 re (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 3 binary64))))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1/4 binary64) (pow.f64 re #s(literal 2 binary64))))) re))))
(exp.f64 (exp.f64 (log.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))))
(exp.f64 (expm1.f64 (log1p.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))))
(exp.f64 (cbrt.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64))))
(exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))) #s(literal 3 binary64)))
(exp.f64 (pow.f64 (pow.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64)))
(pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))) #s(literal 3 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 re #s(literal 3 binary64))))))
(*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64)))) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 3 binary64)))))
(exp.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (log.f64 (*.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 -1 binary64) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 re (fma.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (fma.f64 (pow.f64 im #s(literal 4 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 re #s(literal -2 binary64))) (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
Calls

7 calls:

31.0ms
re
14.0ms
im
13.0ms
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
13.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
12.0ms
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
Results
AccuracySegmentsBranch
83.5%2re
75.7%1im
82.5%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))))
82.5%2(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
81.7%2(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
81.7%2(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
75.7%1(*.f64 im im)
Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes6.0ms (0.1%)

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

2 calls:

3.0ms
re
3.0ms
im
Results
AccuracySegmentsBranch
75.7%1im
75.7%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

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

2 calls:

6.0ms
re
5.0ms
im
Results
AccuracySegmentsBranch
64.9%3re
57.0%2im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

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

1 calls:

6.0ms
re
Results
AccuracySegmentsBranch
62.0%2re
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
im
1.0ms
re
Results
AccuracySegmentsBranch
25.1%1im
25.1%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch49.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
49.0ms
-1.2636381579646498e+25
-381469691073.22906
Results
12.0ms87×256valid
18.0ms39×2048valid
6.0ms16×1024valid
2.0ms10×512valid
3.0ms4096valid
0.0ms2048valid
Compiler

Compiled 252 to 196 computations (22.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
Operation ival-mult, time spent: 10.0ms, 51.0% of total-time
Operation ival-sqrt, time spent: 6.0ms, 30.0% of total-time
Operation ival-add, time spent: 4.0ms, 20.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

bsearch39.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
25.0ms
1.0580535717183521e+102
1.996843008504823e+107
14.0ms
-3.794739579829363e+45
-2.6435724780601915e+45
Results
24.0ms167×256valid
5.0ms14×2048valid
1.0ms512valid
1.0ms4096valid
1.0ms1024valid
0.0ms256valid
Compiler

Compiled 253 to 208 computations (17.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
Operation ival-mult, time spent: 7.0ms, 46.0% of total-time
Operation ival-sqrt, time spent: 4.0ms, 26.0% of total-time
Operation ival-add, time spent: 4.0ms, 26.0% of total-time
Operation const, time spent: 1.0ms, 7.0% of total-time

bsearch26.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
26.0ms
1.0580535717183521e+102
1.996843008504823e+107
Results
22.0ms143×256valid
0.0ms256valid
Compiler

Compiled 166 to 142 computations (14.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
Operation ival-mult, time spent: 6.0ms, 57.0% of total-time
Operation ival-add, time spent: 2.0ms, 19.0% of total-time
Operation ival-sqrt, time spent: 2.0ms, 19.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
12×*-commutative
+-commutative
sub-neg
1-exp
neg-sub0
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048251
171247
278247
383247
486247
587247
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(if (<=.f64 re #s(literal -11499999999999999001755648 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
(if (<=.f64 re #s(literal -3699999999999999771793234396487274551161389056 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re)))) (if (<=.f64 re #s(literal 4900000000000000447031255960712121904194558492801780143050149923202950036207844570190414482059454054400 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 re))))
(if (<=.f64 re #s(literal 26000000000000001641241908740418642038838027378721680611432573931096558238788433713102530212919490117632 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
Outputs
(if (<=.f64 re #s(literal -11499999999999999001755648 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
(if (<=.f64 re #s(literal -3699999999999999771793234396487274551161389056 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re)))) (if (<=.f64 re #s(literal 4900000000000000447031255960712121904194558492801780143050149923202950036207844570190414482059454054400 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 re))))
(if (<=.f64 re #s(literal -3699999999999999771793234396487274551161389056 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (neg.f64 re))))) (if (<=.f64 re #s(literal 4900000000000000447031255960712121904194558492801780143050149923202950036207844570190414482059454054400 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)))) (sqrt.f64 re)))
(if (<=.f64 re #s(literal -3699999999999999771793234396487274551161389056 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))) (if (<=.f64 re #s(literal 4900000000000000447031255960712121904194558492801780143050149923202950036207844570190414482059454054400 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re im)))) (sqrt.f64 re)))
(if (<=.f64 re #s(literal 26000000000000001641241908740418642038838027378721680611432573931096558238788433713102530212919490117632 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 re)))
(if (<=.f64 re #s(literal 26000000000000001641241908740418642038838027378721680611432573931096558238788433713102530212919490117632 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) (sqrt.f64 re))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(sqrt.f64 re)
Compiler

Compiled 79 to 59 computations (25.3% saved)

soundness435.0ms (4.6%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 558 to 288 computations (48.4% saved)

end0.0ms (0%)

preprocess84.0ms (0.9%)

Remove

(abs im)

Compiler

Compiled 396 to 266 computations (32.8% saved)

Profiling

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