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

Time bar (total: 8.4s)

analyze125.0ms (1.5%)

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

Compiled 20 to 14 computations (30% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 28.0ms (44.2% of total)
ival-sqrt: 16.0ms (25.3% of total)
ival-sub: 6.0ms (9.5% of total)
ival-add: 5.0ms (7.9% of total)
ival->: 5.0ms (7.9% of total)
const: 2.0ms (3.2% of total)

sample2.6s (30.6%)

Results
1.1s6293×0valid
318.0ms1080×1valid
683.0ms883×2valid
Precisions
Click to see histograms. Total time spent on operations: 972.0ms
ival-mult: 460.0ms (47.3% of total)
ival-sqrt: 189.0ms (19.5% of total)
ival-sub: 91.0ms (9.4% of total)
backward-pass: 74.0ms (7.6% of total)
ival-add: 74.0ms (7.6% of total)
ival->: 59.0ms (6.1% of total)
const: 24.0ms (2.5% of total)
Bogosity

preprocess84.0ms (1%)

Algorithm
egg-herbie
Rules
334×fma-define
301×fma-neg
68×distribute-rgt-in
56×distribute-lft-neg-in
56×sub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042274
194266
2180266
3341266
4562266
5723266
6917266
71224266
81452266
91479266
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re))))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) im))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) (neg.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re))))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) (neg.f64 re)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal -1/2 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re)))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) im))))
Symmetry

(abs im)

explain294.0ms (3.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1320-1(1.0120873038367923e-239 3.046485604271881e-161)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
300-0-(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
261(1.7569448076399162e+162 4.661570917088456e-242)0-(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 im im)
00-0-re
00-0-#s(literal 2 binary64)
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-im
00-0-(*.f64 re re)
00-0-(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
00-0-(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
Results
93.0ms384×256valid
89.0ms42×2048valid
30.0ms42×4096valid
11.0ms28×1024valid
5.0ms16×512valid
Compiler

Compiled 173 to 52 computations (69.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 143.0ms
ival-sqrt: 87.0ms (60.8% of total)
ival-mult: 43.0ms (30.1% of total)
ival-sub: 5.0ms (3.5% of total)
ival-add: 5.0ms (3.5% of total)
const: 3.0ms (2.1% of total)

eval3.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
79.4%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
40.9%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
Compiler

Compiled 29 to 21 computations (27.6% saved)

localize167.0ms (2%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
90.6%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
88.8%
(-.f64 (hypot.f64 re im) re)
90.6%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
88.8%
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
52.1%
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
Results
61.0ms192×256valid
20.0ms21×2048valid
33.0ms21×4096valid
11.0ms14×1024valid
4.0ms512valid
Compiler

Compiled 115 to 34 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 88.0ms
ival-mult: 37.0ms (42.1% of total)
ival-sqrt: 21.0ms (23.9% of total)
composed: 12.0ms (13.7% of total)
ival-sub: 10.0ms (11.4% of total)
ival-add: 5.0ms (5.7% of total)
const: 3.0ms (3.4% of total)

series26.0ms (0.3%)

Counts
5 → 120
Calls
Call 1
Inputs
#<alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))>
#<alt (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))>
#<alt (-.f64 (hypot.f64 re im) re)>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))>
Outputs
#<alt im>
#<alt (+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))>
#<alt (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt re>
#<alt (+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt im>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))>
#<alt im>
#<alt (+.f64 im (*.f64 #s(literal -1 binary64) re))>
#<alt (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))>
#<alt (+.f64 im (*.f64 re (-.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re)>
#<alt (*.f64 #s(literal -2 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -5/128 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 7 binary64)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt im>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im))))>
#<alt (*.f64 im (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (/.f64 re im)))>
#<alt (*.f64 im (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))) (/.f64 re im)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) re) im)))))>
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#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (*.f64 #s(literal -1/512 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re)))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re)))))))>
#<alt (*.f64 im (+.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
Calls

30 calls:

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

rewrite249.0ms (3%)

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

Useful iterations: 0 (0.0ms)

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

simplify247.0ms (2.9%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
065520954
1171520104
2611320042
Stop Event
node limit
Counts
396 → 369
Calls
Call 1
Inputs
im
(+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
re
(*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) re)
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
re
(+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
im
(*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 re im) re))) (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 re im) re))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))))
(*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re (hypot.f64 re im)) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (+.f64 re (hypot.f64 re im)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (neg.f64 (+.f64 re (hypot.f64 re im))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 (hypot.f64 re im) (neg.f64 re)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 (neg.f64 re) (neg.f64 re))) (-.f64 (hypot.f64 re im) (neg.f64 re)))
(pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (hypot.f64 re im) re))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (exp.f64 re))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (exp.f64 re))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))) (exp.f64 (neg.f64 re))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 re)) (exp.f64 (hypot.f64 re im))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 re)) (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 re)) (exp.f64 (hypot.f64 re im))))
(log.f64 (*.f64 (exp.f64 (neg.f64 re)) (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im)))))
(log.f64 (/.f64 (exp.f64 (hypot.f64 re im)) (+.f64 #s(literal 1 binary64) (expm1.f64 re))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))) (exp.f64 re)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))) (+.f64 #s(literal 1 binary64) (expm1.f64 re))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 re im) re)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 re im) re)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 re im) re)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) (neg.f64 re))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (neg.f64 re))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (neg.f64 re) (hypot.f64 re im))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (neg.f64 re))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (+.f64 (neg.f64 re) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 re)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 re) (neg.f64 (sqrt.f64 re)) (hypot.f64 re im))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (+.f64 (neg.f64 re) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (+.f64 (neg.f64 re) re))
(fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) (hypot.f64 re im))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (hypot.f64 re im))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (neg.f64 re))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (neg.f64 re))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 re)) (cbrt.f64 (neg.f64 re))) (cbrt.f64 (neg.f64 re)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (neg.f64 re))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (hypot.f64 re im))
(fma.f64 #s(literal -1 binary64) re (hypot.f64 re im))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (+.f64 (neg.f64 re) re))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
Outputs
im
(+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im) im)
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im)) im)
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
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(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(*.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))))
(pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(exp.f64 (*.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))

eval171.0ms (2%)

Compiler

Compiled 9076 to 6460 computations (28.8% saved)

prune75.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New35910369
Fresh000
Picked202
Done000
Total36110371
Accuracy
99.9%
Counts
371 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.8%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
27.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
78.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64))))
54.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
21.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
7.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
57.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
55.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))))
22.3%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
16.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
Compiler

Compiled 338 to 288 computations (14.8% saved)

localize393.0ms (4.7%)

Results
318.0ms256×256invalid
Compiler

Compiled 166 to 108 computations (34.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 275.0ms
ival-sqrt: 199.0ms (72.4% of total)
ival-mult: 50.0ms (18.2% of total)
composed: 9.0ms (3.3% of total)
ival-div: 8.0ms (2.9% of total)
const: 5.0ms (1.8% of total)
ival-sub: 3.0ms (1.1% of total)
ival-add: 2.0ms (0.7% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune8.0ms (0.1%)

Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New000
Fresh055
Picked055
Done000
Total01010
Accuracy
99.9%
Counts
10 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
19.8%
(*.f64 #s(literal 1/2 binary64) (fma.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
27.6%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
78.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64))))
54.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
21.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
7.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re))))
57.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
55.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))))
22.3%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
16.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
Compiler

Compiled 280 to 239 computations (14.6% saved)

localize1.3s (15.2%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
99.8%
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
99.8%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
96.0%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))
93.1%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
99.6%
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
99.2%
(*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
96.0%
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))
94.5%
(*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
97.1%
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
93.4%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
Results
771.0ms189×256invalid
272.0ms67×256valid
Compiler

Compiled 512 to 404 computations (21.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 944.0ms
ival-mult: 263.0ms (27.8% of total)
ival-div: 250.0ms (26.5% of total)
ival-pow: 203.0ms (21.5% of total)
ival-sqrt: 182.0ms (19.3% of total)
const: 18.0ms (1.9% of total)
ival-add: 12.0ms (1.3% of total)
ival-sub: 10.0ms (1.1% of total)
composed: 7.0ms (0.7% of total)

series45.0ms (0.5%)

Counts
10 → 105
Calls
Call 1
Inputs
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))>
#<alt (/.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))>
#<alt (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
Outputs
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))>
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#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))>
Calls

42 calls:

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

rewrite101.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
317×associate-*r*
254×log1p-expm1-u
254×expm1-log1p-u
251×add-cube-cbrt
249×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041246
1713200
Stop Event
node limit
Counts
10 → 280
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 im (sqrt.f64 re)))) #s(literal 1 binary64))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (/.f64 im (sqrt.f64 re)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (/.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re)) im))
(*.f64 #s(literal 1 binary64) (/.f64 im (sqrt.f64 re)))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) im)
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) im))
(*.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (*.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) im))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (cbrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (*.f64 (/.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) im))
(*.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) (sqrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 re)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) im))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 im (sqrt.f64 re)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(*.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64)))) (*.f64 (sqrt.f64 im) (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (sqrt.f64 im)) (*.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (sqrt.f64 im)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (*.f64 im (/.f64 #s(literal 1 binary64) (cbrt.f64 re))) (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (*.f64 im (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (*.f64 im (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 re))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (sqrt.f64 im)) (sqrt.f64 im))
(/.f64 im (sqrt.f64 re))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64)))) (sqrt.f64 (neg.f64 re)))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1/2 binary64))
(pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 2 binary64))
(fabs.f64 (/.f64 im (sqrt.f64 re)))
(log.f64 (exp.f64 (/.f64 im (sqrt.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 im (sqrt.f64 re)))))
(cbrt.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 im (sqrt.f64 re))))
(log1p.f64 (expm1.f64 (/.f64 im (sqrt.f64 re))))
(exp.f64 (log.f64 (/.f64 im (sqrt.f64 re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 im (sqrt.f64 re))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 im) (log.f64 (pow.f64 re #s(literal -1/2 binary64)))))
(exp.f64 (+.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))) (log.f64 im)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 2 binary64)))
(*.f64 im (/.f64 im re))
(*.f64 im (*.f64 im (/.f64 #s(literal 1 binary64) re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) re))
(*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 2 binary64))
(*.f64 (/.f64 im (sqrt.f64 re)) (/.f64 im (sqrt.f64 re)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/2 binary64))) (/.f64 im (sqrt.f64 re))))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 (/.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 re)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) re)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) (/.f64 im (sqrt.f64 re))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal 1/4 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 2 binary64)))
(*.f64 (*.f64 (/.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (*.f64 (/.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) (*.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) (/.f64 im (sqrt.f64 re))))
(*.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 re)))
(*.f64 (*.f64 (/.f64 im (sqrt.f64 re)) (sqrt.f64 (/.f64 im (sqrt.f64 re)))) (sqrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (/.f64 im #s(literal 1 binary64)) (/.f64 im re))
(*.f64 (/.f64 im (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))) (/.f64 im (cbrt.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (cbrt.f64 re)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) re))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (sqrt.f64 re)) (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (sqrt.f64 re)))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal -1/2 binary64))) (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (cbrt.f64 (pow.f64 re #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 re)))
(*.f64 (*.f64 (/.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (/.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (*.f64 (/.f64 im (sqrt.f64 re)) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (cbrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1/2 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal 1/4 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (/.f64 im (sqrt.f64 re)) (sqrt.f64 #s(literal 1/2 binary64))))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1 binary64))
(pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 re (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re))
(sqrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal -2 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(exp.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 re #s(literal 5/2 binary64))))
(/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (pow.f64 re #s(literal 5/2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 re #s(literal 5/2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal 5/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5/2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal -5/2 binary64))))))
(/.f64 (pow.f64 re #s(literal -5/2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (pow.f64 re #s(literal 5/2 binary64)) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal -5/2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 re #s(literal 5/2 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal -5/2 binary64))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 re #s(literal -5/2 binary64))) (neg.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(/.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal -5/2 binary64)))) #s(literal 1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal -5/2 binary64)))) (cbrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
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(exp.f64 (*.f64 (*.f64 #s(literal -5 binary64) (log.f64 re)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal -5/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 re))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 re)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 re)))
(pow.f64 re #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 re) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
(fabs.f64 (pow.f64 re #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 re))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 2 binary64) re))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))) #s(literal 1 binary64)))

simplify206.0ms (2.4%)

Algorithm
egg-herbie
Rules
729×fma-define
578×associate-*r*
560×associate-*l*
374×distribute-lft-neg-in
306×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061014460
1134013678
2487113168
Stop Event
node limit
Counts
385 → 396
Calls
Call 1
Inputs
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal -1 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal -1 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal -1 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))
(/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (pow.f64 re #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (pow.f64 re #s(literal 3 binary64)))
(/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (pow.f64 re #s(literal 3 binary64)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))
(*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))
(*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))
(*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))
(*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))
(*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))
(*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))
(*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))
(*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))
(*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))
(*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))
(*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))
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(exp.f64 (log.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/8 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 re #s(literal -5/2 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) #s(literal -1/8 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal -5/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -5/2 binary64)))
(*.f64 (pow.f64 re #s(literal -5/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -5/2 binary64))) (cbrt.f64 (pow.f64 re #s(literal -5 binary64))))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -5 binary64))) (cbrt.f64 (pow.f64 re #s(literal -5/2 binary64))))
(*.f64 (sqrt.f64 (pow.f64 re #s(literal -5/2 binary64))) (sqrt.f64 (pow.f64 re #s(literal -5/2 binary64))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 re #s(literal -5/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal -10 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 re #s(literal -5 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal -10 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal -5 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 5/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 re #s(literal 5/2 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 re #s(literal 5 binary64)))))
(pow.f64 re #s(literal -5/2 binary64))
(pow.f64 (pow.f64 re #s(literal 5 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 re #s(literal -5 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 re #s(literal -5/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 re #s(literal -5/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 re #s(literal -5 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 re #s(literal 5/2 binary64)) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 re #s(literal -5/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 re #s(literal -5/2 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal -5/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal -5/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 re #s(literal -5 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -5/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal -5/2 binary64))))
(exp.f64 (log.f64 (pow.f64 re #s(literal -5/2 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal -5 binary64) (log.f64 re)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal -5/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 re))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 re)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 re)))
(pow.f64 re #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 re) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
(fabs.f64 (pow.f64 re #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))) #s(literal 1 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 re))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 2 binary64) re))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))) #s(literal 1 binary64)))
Outputs
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(neg.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (neg.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(neg.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (neg.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(neg.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (neg.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(neg.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (neg.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(neg.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (neg.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(neg.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (neg.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(neg.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (neg.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(neg.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (neg.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))
(*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))
(*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))
(*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 re #s(literal -1/2 binary64)))))
(*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))
(*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (pow.f64 im #s(literal 3 binary64)) (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 im #s(literal 2 binary64)))))
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(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re)) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 #s(literal 2 binary64) re))
(cbrt.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(cbrt.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) re))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))
(sqrt.f64 (/.f64 #s(literal 2 binary64) re))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 #s(literal 2 binary64) re))

eval694.0ms (8.2%)

Compiler

Compiled 10806 to 8931 computations (17.4% saved)

prune77.0ms (0.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New4273430
Fresh000
Picked325
Done325
Total4337440
Accuracy
100.0%
Counts
440 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.9%
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
27.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal -1/2 binary64)) im))
27.7%
(*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re))) (sqrt.f64 #s(literal 1/2 binary64))))
78.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64))))
57.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
55.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))))
22.3%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
Compiler

Compiled 81 to 65 computations (19.8% saved)

localize203.0ms (2.4%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
99.9%
(/.f64 im (sqrt.f64 re))
99.9%
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) im)
99.9%
(sqrt.f64 (/.f64 #s(literal 2 binary64) re))
99.9%
(*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))
99.8%
(*.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re))) (sqrt.f64 #s(literal 1/2 binary64)))
Results
131.0ms123×256valid
31.0ms122×256invalid
4.0ms11×256infinite
Compiler

Compiled 76 to 49 computations (35.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-mult: 88.0ms (67.8% of total)
ival-pow: 15.0ms (11.6% of total)
ival-sqrt: 14.0ms (10.8% of total)
ival-div: 11.0ms (8.5% of total)
const: 3.0ms (2.3% of total)

series17.0ms (0.2%)

Counts
5 → 108
Calls
Call 1
Inputs
#<alt (*.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re))) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))>
#<alt (sqrt.f64 (/.f64 #s(literal 2 binary64) re))>
#<alt (*.f64 (pow.f64 re #s(literal -1/2 binary64)) im)>
#<alt (/.f64 im (sqrt.f64 re))>
Outputs
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
Calls

27 calls:

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

rewrite120.0ms (1.4%)

Algorithm
batch-egg-rewrite
Rules
1005×log1p-expm1-u
1005×expm1-log1p-u
589×log-prod
183×expm1-undefine
183×log1p-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020108
1248100
23106100
Stop Event
node limit
Counts
5 → 152
Calls
Call 1
Inputs
(*.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re))) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))
(sqrt.f64 (/.f64 #s(literal 2 binary64) re))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) im)
(/.f64 im (sqrt.f64 re))
Outputs
(+.f64 #s(literal 0 binary64) (*.f64 im (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 im) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64))))) (cbrt.f64 (pow.f64 (exp.f64 im) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64))))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 im) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 im) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64)))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 im) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 im (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) re) (pow.f64 im #s(literal 2 binary64)))))
(log.f64 (pow.f64 (exp.f64 im) (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 im (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re))) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 im (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (*.f64 im (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 im) (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))) (cbrt.f64 (pow.f64 (exp.f64 im) (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 im) (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 im) (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 im) (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))) #s(literal 1 binary64))
(/.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 re))
(/.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) im) (sqrt.f64 re))
(pow.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 #s(literal 2 binary64) re) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 im) (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))))
(cbrt.f64 (pow.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 3/2 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))
(log1p.f64 (expm1.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))
(exp.f64 (log.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))
(exp.f64 (*.f64 (log.f64 (*.f64 im (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))) (cbrt.f64 (/.f64 #s(literal 2 binary64) re)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) re)) (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) re)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) re)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) re)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (/.f64 #s(literal 2 binary64) re))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 re #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 re))
(/.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 (neg.f64 re)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (neg.f64 (sqrt.f64 re)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 re))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 re)) (cbrt.f64 (sqrt.f64 re)))
(/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal 1/4 binary64))) (pow.f64 re #s(literal 1/4 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) re) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) re)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 #s(literal 2 binary64) re))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 im (sqrt.f64 re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 im (sqrt.f64 re)))) (cbrt.f64 (exp.f64 (/.f64 im (sqrt.f64 re)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 im (sqrt.f64 re))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 im (sqrt.f64 re))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 im (sqrt.f64 re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 im (sqrt.f64 re)))) #s(literal 1 binary64))
(/.f64 im (sqrt.f64 re))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 re) im) #s(literal 1 binary64)))
(/.f64 (neg.f64 im) (neg.f64 (sqrt.f64 re)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 re) im)))
(/.f64 (neg.f64 (neg.f64 im)) (neg.f64 (neg.f64 (sqrt.f64 re))))
(/.f64 (/.f64 im (pow.f64 re #s(literal 1/4 binary64))) (pow.f64 re #s(literal 1/4 binary64)))
(/.f64 (/.f64 im #s(literal 1 binary64)) (sqrt.f64 re))
(/.f64 (/.f64 im (cbrt.f64 re)) (cbrt.f64 (sqrt.f64 re)))
(pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 re) im) #s(literal -1 binary64))
(neg.f64 (/.f64 im (neg.f64 (sqrt.f64 re))))
(neg.f64 (/.f64 (neg.f64 im) (sqrt.f64 re)))
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(log.f64 (exp.f64 (/.f64 im (sqrt.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 im (sqrt.f64 re)))))
(cbrt.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 im (sqrt.f64 re))))
(log1p.f64 (expm1.f64 (/.f64 im (sqrt.f64 re))))
(exp.f64 (log.f64 (/.f64 im (sqrt.f64 re))))
(exp.f64 (*.f64 (log.f64 (/.f64 im (sqrt.f64 re))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 im (sqrt.f64 re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 im (sqrt.f64 re)))) (cbrt.f64 (exp.f64 (/.f64 im (sqrt.f64 re)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 im (sqrt.f64 re))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 im (sqrt.f64 re))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 im (sqrt.f64 re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 im (sqrt.f64 re)))) #s(literal 1 binary64))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) im)
(*.f64 (/.f64 im (sqrt.f64 re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 im (sqrt.f64 re)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) im))
(*.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (cbrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (/.f64 (cbrt.f64 im) (sqrt.f64 re)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) (sqrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (sqrt.f64 im) (/.f64 (sqrt.f64 im) (sqrt.f64 re)))
(*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 re))))
(*.f64 (pow.f64 re #s(literal -1/4 binary64)) (*.f64 (pow.f64 re #s(literal -1/4 binary64)) im))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (/.f64 im (cbrt.f64 (sqrt.f64 re))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 1/4 binary64))) (/.f64 im (pow.f64 re #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 im) (sqrt.f64 re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 re)) (cbrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 re #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 im) (pow.f64 re #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 im) (sqrt.f64 re)))
(*.f64 (/.f64 (sqrt.f64 im) (cbrt.f64 re)) (/.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 re))))
(*.f64 (*.f64 im (cbrt.f64 (/.f64 #s(literal 1 binary64) re))) (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (*.f64 im (pow.f64 re #s(literal -1/4 binary64))) (pow.f64 re #s(literal -1/4 binary64)))
(*.f64 (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (sqrt.f64 im)) (sqrt.f64 im))
(pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 re) im) #s(literal -1 binary64))
(neg.f64 (/.f64 im (neg.f64 (sqrt.f64 re))))
(neg.f64 (/.f64 (neg.f64 im) (sqrt.f64 re)))
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(log.f64 (exp.f64 (/.f64 im (sqrt.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 im (sqrt.f64 re)))))
(cbrt.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 im (sqrt.f64 re))))
(log1p.f64 (expm1.f64 (/.f64 im (sqrt.f64 re))))
(exp.f64 (log.f64 (/.f64 im (sqrt.f64 re))))
(exp.f64 (*.f64 (log.f64 (/.f64 im (sqrt.f64 re))) #s(literal 1 binary64)))

simplify252.0ms (3%)

Algorithm
egg-herbie
Rules
722×unsub-neg
393×fma-define
352×fma-neg
339×cube-prod
322×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03257156
15717078
216407048
360997038
Stop Event
node limit
Counts
260 → 177
Calls
Call 1
Inputs
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
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(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) im))
(*.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (cbrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (/.f64 (cbrt.f64 im) (sqrt.f64 re)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) (sqrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (sqrt.f64 im) (/.f64 (sqrt.f64 im) (sqrt.f64 re)))
(*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 re))))
(*.f64 (pow.f64 re #s(literal -1/4 binary64)) (*.f64 (pow.f64 re #s(literal -1/4 binary64)) im))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (/.f64 im (cbrt.f64 (sqrt.f64 re))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 1/4 binary64))) (/.f64 im (pow.f64 re #s(literal 1/4 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 im) (sqrt.f64 re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 re)) (cbrt.f64 (/.f64 im (sqrt.f64 re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 re #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 im) (pow.f64 re #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 im) (sqrt.f64 re)))
(*.f64 (/.f64 (sqrt.f64 im) (cbrt.f64 re)) (/.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 re))))
(*.f64 (*.f64 im (cbrt.f64 (/.f64 #s(literal 1 binary64) re))) (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (*.f64 im (pow.f64 re #s(literal -1/4 binary64))) (pow.f64 re #s(literal -1/4 binary64)))
(*.f64 (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (sqrt.f64 im)) (sqrt.f64 im))
(pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 2 binary64))
(pow.f64 (/.f64 (sqrt.f64 re) im) #s(literal -1 binary64))
(neg.f64 (/.f64 im (neg.f64 (sqrt.f64 re))))
(neg.f64 (/.f64 (neg.f64 im) (sqrt.f64 re)))
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(log.f64 (exp.f64 (/.f64 im (sqrt.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 im (sqrt.f64 re)))))
(cbrt.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (/.f64 im (sqrt.f64 re))))
(log1p.f64 (expm1.f64 (/.f64 im (sqrt.f64 re))))
(exp.f64 (log.f64 (/.f64 im (sqrt.f64 re))))
(exp.f64 (*.f64 (log.f64 (/.f64 im (sqrt.f64 re))) #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 im (*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 im (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 im (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -2 binary64))))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 im (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -2 binary64))))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 im (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -2 binary64))))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 im (*.f64 (sqrt.f64 #s(literal -2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))
(*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -2 binary64))))))
(*.f64 (*.f64 im (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 im (sqrt.f64 #s(literal 2 binary64))))
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(*.f64 (/.f64 (sqrt.f64 im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 im) (sqrt.f64 re)))
(/.f64 im (sqrt.f64 re))
(*.f64 (/.f64 (sqrt.f64 im) (cbrt.f64 re)) (/.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 re))))
(/.f64 (/.f64 im (cbrt.f64 re)) (cbrt.f64 (sqrt.f64 re)))
(/.f64 im (*.f64 (cbrt.f64 re) (cbrt.f64 (sqrt.f64 re))))
(/.f64 (/.f64 im (cbrt.f64 (sqrt.f64 re))) (cbrt.f64 re))
(*.f64 (*.f64 im (cbrt.f64 (/.f64 #s(literal 1 binary64) re))) (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 im (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64)))))
(*.f64 im (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64)))))
(*.f64 (*.f64 im (pow.f64 re #s(literal -1/4 binary64))) (pow.f64 re #s(literal -1/4 binary64)))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 re #s(literal -1/2 binary64)) (sqrt.f64 im)) (sqrt.f64 im))
(*.f64 im (pow.f64 re #s(literal -1/2 binary64)))
(pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 1 binary64))
(/.f64 im (sqrt.f64 re))
(pow.f64 (cbrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 3 binary64))
(/.f64 im (sqrt.f64 re))
(pow.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 im (sqrt.f64 re))
(pow.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 2 binary64))
(/.f64 im (sqrt.f64 re))
(pow.f64 (/.f64 (sqrt.f64 re) im) #s(literal -1 binary64))
(/.f64 im (sqrt.f64 re))
(neg.f64 (/.f64 im (neg.f64 (sqrt.f64 re))))
(/.f64 im (sqrt.f64 re))
(neg.f64 (/.f64 (neg.f64 im) (sqrt.f64 re)))
(/.f64 im (sqrt.f64 re))
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) re) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 im (sqrt.f64 re))))
(/.f64 im (sqrt.f64 re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 im (sqrt.f64 re)))))
(/.f64 im (sqrt.f64 re))
(cbrt.f64 (pow.f64 (/.f64 im (sqrt.f64 re)) #s(literal 3 binary64)))
(/.f64 im (sqrt.f64 re))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3/2 binary64))))
(/.f64 im (sqrt.f64 re))
(expm1.f64 (log1p.f64 (/.f64 im (sqrt.f64 re))))
(/.f64 im (sqrt.f64 re))
(log1p.f64 (expm1.f64 (/.f64 im (sqrt.f64 re))))
(/.f64 im (sqrt.f64 re))
(exp.f64 (log.f64 (/.f64 im (sqrt.f64 re))))
(/.f64 im (sqrt.f64 re))
(exp.f64 (*.f64 (log.f64 (/.f64 im (sqrt.f64 re))) #s(literal 1 binary64)))
(/.f64 im (sqrt.f64 re))

eval47.0ms (0.6%)

Compiler

Compiled 2384 to 1782 computations (25.3% saved)

prune37.0ms (0.4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1761177
Fresh000
Picked123
Done044
Total1777184
Accuracy
100.0%
Counts
184 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.9%
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
27.3%
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im)))
27.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal -1/2 binary64)) im))
78.8%
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64))))
57.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re))))
55.2%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (*.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))))
22.3%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
Compiler

Compiled 286 to 226 computations (21% saved)

regimes48.0ms (0.6%)

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

7 calls:

12.0ms
re
7.0ms
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
6.0ms
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
6.0ms
(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
5.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
Results
AccuracySegmentsBranch
89.4%2re
79.4%1im
89.0%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))))
89.0%2(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
89.0%2(*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
89.0%2(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
79.4%1(*.f64 im im)
Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes17.0ms (0.2%)

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

2 calls:

9.0ms
im
7.0ms
re
Results
AccuracySegmentsBranch
68.3%4im
82.5%3re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

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

2 calls:

5.0ms
im
3.0ms
re
Results
AccuracySegmentsBranch
31.6%5im
50.2%2re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0.1%)

Threshold costs -0b (-0.1%)

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

1 calls:

1.0ms
re
Results
AccuracySegmentsBranch
27.9%1re
Compiler

Compiled 3 to 2 computations (33.3% saved)

bsearch32.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
29.0ms
8.604797003496593e+46
3.2020610831205064e+49
Results
8.0ms67×0valid
10.0ms33×2valid
6.0ms28×1valid
Compiler

Compiled 206 to 160 computations (22.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 7.0ms (45.4% of total)
ival-sqrt: 3.0ms (19.5% of total)
backward-pass: 2.0ms (13% of total)
ival-add: 1.0ms (6.5% of total)
ival-sub: 1.0ms (6.5% of total)
const: 0.0ms (0% of total)

bsearch54.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
33.0ms
8.604797003496593e+46
3.2020610831205064e+49
16.0ms
-1.2312863717453878e+88
-6.906672638736044e+85
Results
18.0ms158×0valid
12.0ms51×1valid
10.0ms31×2valid
Compiler

Compiled 344 to 285 computations (17.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 9.0ms (38.8% of total)
ival-sqrt: 6.0ms (25.9% of total)
backward-pass: 3.0ms (12.9% of total)
ival-add: 2.0ms (8.6% of total)
ival-sub: 2.0ms (8.6% of total)
const: 1.0ms (4.3% of total)

bsearch27.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
25.0ms
-7.590866226753639e-302
1.9244335986712564e-305
Results
19.0ms160×0valid
Compiler

Compiled 222 to 186 computations (16.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 4.0ms (37% of total)
ival-add: 3.0ms (27.8% of total)
ival-sqrt: 2.0ms (18.5% of total)
ival-sub: 1.0ms (9.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
046263
159263
265263
367263
468263
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 re #s(literal 1200000000000000052615011654091436825560857182208 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal -1/2 binary64)) im)))
(if (<=.f64 re #s(literal -70000000000000001024148666147241112167903009150525854149502755101885745497580375113728 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64))))) (if (<=.f64 re #s(literal 86999999999999996107272695533994408753206657024 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal -1/2 binary64)) im))))
(if (<=.f64 re #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))))
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
Outputs
(if (<=.f64 re #s(literal 1200000000000000052615011654091436825560857182208 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal -1/2 binary64)) im)))
(if (<=.f64 re #s(literal 1200000000000000052615011654091436825560857182208 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal -1/2 binary64)))))
(if (<=.f64 re #s(literal -70000000000000001024148666147241112167903009150525854149502755101885745497580375113728 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64))))) (if (<=.f64 re #s(literal 86999999999999996107272695533994408753206657024 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 re #s(literal -1/2 binary64)) im))))
(if (<=.f64 re #s(literal -70000000000000001024148666147241112167903009150525854149502755101885745497580375113728 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64))))) (if (<=.f64 re #s(literal 86999999999999996107272695533994408753206657024 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 im re)))) (*.f64 #s(literal 1/2 binary64) (*.f64 im (pow.f64 re #s(literal -1/2 binary64))))))
(if (<=.f64 re #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))))
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))

soundness627.0ms (7.4%)

Rules
729×fma-define
578×associate-*r*
560×associate-*l*
434×fma-define
417×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041246
1713200
061014460
1134013678
2487113168
065520954
1171520104
2611320042
042274
194266
2180266
3341266
4562266
5723266
6917266
71224266
81452266
91479266
Stop Event
fuel
saturated
node limit
node limit
node limit
Compiler

Compiled 641 to 487 computations (24% saved)

preprocess102.0ms (1.2%)

Remove

(abs im)

Compiler

Compiled 236 to 172 computations (27.1% saved)

end0.0ms (0%)

Profiling

Loading profile data...