math.sqrt on complex, real part

Time bar (total: 6.4s)

analyze125.0ms (1.9%)

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

Compiled 18 to 13 computations (27.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 30.0ms (46.1% of total)
ival-sqrt: 22.0ms (33.8% of total)
ival-add: 11.0ms (16.9% of total)
const: 2.0ms (3.1% of total)
backward-pass: 0.0ms (0% of total)

sample1.4s (21.1%)

Results
547.0ms6304×0valid
224.0ms1065×1valid
252.0ms887×2valid
Precisions
Click to see histograms. Total time spent on operations: 735.0ms
ival-mult: 325.0ms (44.2% of total)
ival-sqrt: 213.0ms (29% of total)
ival-add: 125.0ms (17% of total)
backward-pass: 56.0ms (7.6% of total)
const: 16.0ms (2.2% of total)
Bogosity

preprocess108.0ms (1.7%)

Algorithm
egg-herbie
Rules
295×fma-neg
285×fma-define
85×add0
72×distribute-rgt-in
41×distribute-lft-neg-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042266
1151266
2351266
3616266
4769266
5954266
61151266
71356266
81433266
91441266
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re))))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) im))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 (neg.f64 re) (neg.f64 re)) (*.f64 im im))) (neg.f64 re))))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal -1/2 binary64))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 (neg.f64 im) (neg.f64 im)))) re)))))
(*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 im im) (*.f64 re re))) im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im (hypot.f64 re im)))))
Symmetry

(abs im)

explain225.0ms (3.5%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1410-2(1.8205080464662063e-212 4.020419539256523e-157)(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
350-0-(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
250-2(-1.1259843198927289e-94 2.1896835766816466e-208)(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
00-0-#s(literal 1/2 binary64)
00-0-(*.f64 im im)
00-0-re
00-0-(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
00-0-#s(literal 2 binary64)
00-0-(+.f64 (*.f64 re re) (*.f64 im im))
00-0-im
00-0-(*.f64 re re)
00-0-(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
Results
55.0ms386×0valid
21.0ms74×1valid
24.0ms52×2valid
Compiler

Compiled 173 to 52 computations (69.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 30.0ms (48% of total)
ival-sqrt: 16.0ms (25.6% of total)
ival-add: 9.0ms (14.4% of total)
backward-pass: 6.0ms (9.6% of total)
const: 2.0ms (3.2% of total)

eval0.0ms (0%)

Compiler

Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
37.1%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
78.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
Compiler

Compiled 29 to 21 computations (27.6% saved)

localize118.0ms (1.8%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
91.1%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
87.9%
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
49.4%
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
100.0%
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
100.0%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
91.1%
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
87.9%
(+.f64 re (hypot.f64 re im))
Results
45.0ms193×0valid
18.0ms37×1valid
24.0ms26×2valid
Compiler

Compiled 115 to 34 computations (70.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-mult: 22.0ms (38.7% of total)
ival-sqrt: 12.0ms (21.1% of total)
ival-hypot: 9.0ms (15.8% of total)
backward-pass: 7.0ms (12.3% of total)
ival-add: 6.0ms (10.6% of total)
const: 2.0ms (3.5% of total)

series42.0ms (0.6%)

Counts
8 → 192
Calls
Call 1
Inputs
#<alt (+.f64 re (hypot.f64 re im))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))>
#<alt (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))>
#<alt (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))>
Outputs
#<alt im>
#<alt (+.f64 im re)>
#<alt (+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))>
#<alt (+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))))>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re))>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 2 binary64) re))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt im>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) im))) im)))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 2 binary64) im)>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 #s(literal 2 binary64) re))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) im))))))>
#<alt (*.f64 #s(literal 4 binary64) re)>
#<alt (*.f64 re (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))>
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#<alt (*.f64 re (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 2 binary64)))) re))>
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#<alt (*.f64 #s(literal 4 binary64) re)>
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#<alt (+.f64 (*.f64 #s(literal 4 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (*.f64 #s(literal 4 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 2 binary64) im)>
#<alt (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im))))>
#<alt (*.f64 im (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 re im)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (*.f64 im (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 re im)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) (*.f64 #s(literal 2 binary64) re)) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 re #s(literal 2 binary64))) im)) (*.f64 #s(literal 2 binary64) re)) im)))))>
#<alt im>
#<alt (+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))>
#<alt (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt re>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt re>
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#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt im>
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#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))>
#<alt im>
#<alt (+.f64 im re)>
#<alt (+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))>
#<alt (+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))))>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
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#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re))>
#<alt (*.f64 #s(literal 2 binary64) re)>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 2 binary64) re))>
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#<alt (+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt im>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im))))>
#<alt (*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) im))) im)))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))>
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#<alt (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))>
Calls

48 calls:

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

rewrite288.0ms (4.5%)

Algorithm
batch-egg-rewrite
Rules
808×log1p-expm1-u
808×expm1-log1p-u
516×fma-neg
192×expm1-undefine
192×log1p-undefine
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023225
1353225
24125225
Stop Event
node limit
Counts
8 → 341
Calls
Call 1
Inputs
(+.f64 re (hypot.f64 re im))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
Outputs
(-.f64 (+.f64 re (hypot.f64 re im)) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im))) (/.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im))))
(-.f64 (/.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))
(*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 re (hypot.f64 re im))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re (hypot.f64 re im)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))
(/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 re (hypot.f64 re im)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (-.f64 (hypot.f64 re im) re))
(/.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (neg.f64 (-.f64 re (hypot.f64 re im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (neg.f64 (-.f64 (hypot.f64 re im) re)))
(/.f64 (-.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 0 binary64)) (+.f64 re (hypot.f64 re im)))
(pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 re (hypot.f64 re im)))))
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64)))
(fma.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) re (hypot.f64 re im))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) re)
(fma.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) re)
(fma.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im))
(fma.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 re (hypot.f64 re im))) #s(literal 0 binary64))
(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 (hypot.f64 re im) re)) #s(literal 0 binary64))
(+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(-.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(hypot.f64 (sqrt.f64 (*.f64 re #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64)))))
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(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 re (hypot.f64 re im))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))) (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re (hypot.f64 re im)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))
(/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 re (hypot.f64 re im)))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (-.f64 (hypot.f64 re im) re))
(/.f64 (neg.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))) (neg.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (neg.f64 (-.f64 re (hypot.f64 re im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (neg.f64 (-.f64 (hypot.f64 re im) re)))
(/.f64 (-.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 0 binary64)) (+.f64 re (hypot.f64 re im)))
(pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 re (hypot.f64 re im)))))
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64)))
(fma.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) re (hypot.f64 re im))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) re)
(fma.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) re)
(fma.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (hypot.f64 re im))
(fma.f64 (+.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 re (hypot.f64 re im))) #s(literal 0 binary64))
(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 (hypot.f64 re im) re)) #s(literal 0 binary64))
(+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(-.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(hypot.f64 (sqrt.f64 (*.f64 re #s(literal 2 binary64))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 re #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))) #s(literal 1 binary64))
(/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64) #s(literal 0 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 0 binary64))

simplify347.0ms (5.4%)

Algorithm
egg-herbie
Rules
838×fma-neg
834×add0
697×associate-*r*
580×associate-*l*
296×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
089830849
1338329897
2782629897
Stop Event
node limit
Counts
533 → 546
Calls
Call 1
Inputs
im
(+.f64 im re)
(+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))
(+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))))
(*.f64 #s(literal 2 binary64) re)
(*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
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im
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(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64)))
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(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 0 binary64))
Outputs
im
(+.f64 im re)
(+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 re im)))))
(+.f64 (+.f64 im re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))))
(+.f64 im (*.f64 re (+.f64 #s(literal 1 binary64) (*.f64 re (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im))))))
(+.f64 (+.f64 im re) (*.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))))
(*.f64 #s(literal 2 binary64) re)
(*.f64 re #s(literal 2 binary64))
(*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 re (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) re)
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re))
(/.f64 (fma.f64 #s(literal -1/8 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)))) (neg.f64 re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) (neg.f64 re))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (*.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re))
(neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 im #s(literal 8 binary64)) #s(literal 5/64 binary64)) (pow.f64 re #s(literal 6 binary64))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 im #s(literal 8 binary64)) (/.f64 #s(literal 5/64 binary64) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) (neg.f64 re))
(*.f64 #s(literal 2 binary64) re)
(*.f64 re #s(literal 2 binary64))
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (*.f64 #s(literal 2 binary64) re))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 re #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(fma.f64 #s(literal 2 binary64) re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) re))))
(+.f64 (*.f64 #s(literal 2 binary64) re) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(fma.f64 #s(literal 2 binary64) re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) re))))
(fma.f64 #s(literal 2 binary64) re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) re))))
im
(*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))
(*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im))))
(*.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (/.f64 re im))))
(*.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))) (/.f64 re im)))))
(*.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (/.f64 re im)))))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 re) im)))
(*.f64 (neg.f64 im) (-.f64 #s(literal 1 binary64) (/.f64 re im)))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 re (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 re #s(literal 2 binary64))) im)) im))))
(*.f64 im (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 re (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) im))) im)))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 re (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) im))) im))))
(*.f64 (neg.f64 im) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 re (/.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) im)) im)))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 re (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 re (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) re) (sqrt.f64 #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 re (fma.f64 #s(literal 1/8 binary64) (*.f64 re (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 re (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 re (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 re (fma.f64 #s(literal -1/16 binary64) (*.f64 re (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (sqrt.f64 re))
(*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
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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 #s(literal 1/2 binary64) re)))
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im
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(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
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im
(+.f64 im re)
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(+.f64 (+.f64 im re) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
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(*.f64 #s(literal 2 binary64) re)
(*.f64 re #s(literal 2 binary64))
(*.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
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(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
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(*.f64 #s(literal 2 binary64) re)
(*.f64 re #s(literal 2 binary64))
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(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re) (*.f64 re #s(literal 2 binary64)))
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im
(*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im)))
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(neg.f64 im)
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(*.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 re) im)))
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(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)))) #s(literal 0 binary64))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/4 binary64)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 0 binary64))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))

eval467.0ms (7.3%)

Compiler

Compiled 13291 to 9689 computations (27.1% saved)

prune116.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New5388546
Fresh000
Picked202
Done000
Total5408548
Accuracy
88.9%
Counts
548 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.1%
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
15.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
51.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
5.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
53.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
13.3%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))))
50.3%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
78.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
Compiler

Compiled 184 to 148 computations (19.6% saved)

localize481.0ms (7.5%)

Results
399.0ms256×0invalid
Compiler

Compiled 209 to 133 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 353.0ms
ival-hypot: 171.0ms (48.4% of total)
ival-pow: 82.0ms (23.2% of total)
ival-mult: 36.0ms (10.2% of total)
ival-div: 33.0ms (9.3% of total)
ival-sqrt: 14.0ms (4% of total)
ival-add: 9.0ms (2.5% of total)
const: 6.0ms (1.7% of total)
ival-neg: 1.0ms (0.3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune3.0ms (0%)

Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New000
Fresh033
Picked055
Done000
Total088
Accuracy
88.9%
Counts
8 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.1%
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
15.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
51.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
5.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
53.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
13.3%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))))
50.3%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
78.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
Compiler

Compiled 92 to 74 computations (19.6% saved)

localize248.0ms (3.9%)

Localize:

Found 4 expressions with local error:

NewAccuracyProgram
100.0%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
100.0%
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))
87.9%
(+.f64 re (hypot.f64 re im))
57.2%
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
Results
85.0ms193×0valid
79.0ms37×1valid
35.0ms26×2valid
Compiler

Compiled 101 to 52 computations (48.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 148.0ms
ival-pow: 83.0ms (56.2% of total)
ival-mult: 23.0ms (15.6% of total)
backward-pass: 10.0ms (6.8% of total)
ival-sqrt: 10.0ms (6.8% of total)
ival-hypot: 8.0ms (5.4% of total)
ival-cbrt: 5.0ms (3.4% of total)
const: 4.0ms (2.7% of total)
ival-add: 4.0ms (2.7% of total)
ival-neg: 2.0ms (1.4% of total)

series37.0ms (0.6%)

Counts
3 → 72
Calls
Call 1
Inputs
#<alt (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))>
#<alt (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))>
Outputs
#<alt (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))>
#<alt (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))>
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#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 32 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal 16 binary64) (/.f64 (*.f64 im (pow.f64 (+.f64 re (*.f64 #s(literal 2 binary64) re)) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 8 binary64))))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (+.f64 re (*.f64 #s(literal 2 binary64) re)) (sqrt.f64 #s(literal 8 binary64))))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 2 binary64)))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (*.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 8 binary64))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 re (*.f64 #s(literal 2 binary64) re))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 2 binary64))))) (sqrt.f64 #s(literal 8 binary64))))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 re (*.f64 #s(literal 2 binary64) re))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal 32 binary64) (pow.f64 re #s(literal 3 binary64))) (*.f64 #s(literal -16 binary64) (/.f64 (*.f64 im (pow.f64 (+.f64 re (*.f64 #s(literal 2 binary64) re)) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 im) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (pow.f64 re #s(literal 2 binary64))))) (sqrt.f64 #s(literal 8 binary64)))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 re (*.f64 #s(literal 2 binary64) re))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (*.f64 re (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (*.f64 re (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/1024 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 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)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (*.f64 re (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (*.f64 re (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 im) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 im) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (*.f64 re (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))))>
Calls

18 calls:

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

rewrite130.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
918×log1p-expm1-u
918×expm1-log1p-u
589×prod-diff
246×fma-neg
150×expm1-undefine
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017116
1200104
22781104
Stop Event
node limit
Counts
3 → 115
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
Outputs
(+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(-.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64)))))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) re)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))))
(hypot.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) re)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 0 binary64)))
(+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(/.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64) #s(literal 0 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))

simplify229.0ms (3.6%)

Algorithm
egg-herbie
Rules
902×associate-*r*
834×+-commutative
727×associate-*l*
691×add0
296×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
070315623
1277815019
2799915015
Stop Event
node limit
Counts
187 → 335
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))
(*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/32 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (*.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))
(*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))
(+.f64 (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))
(+.f64 (*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))))
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))
(*.f64 im (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 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)) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (*.f64 re (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (*.f64 re (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 im) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 im) (*.f64 (*.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (*.f64 re (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))
(*.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64)))
(+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 re (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64)))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 re (-.f64 (*.f64 #s(literal 8 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 4 binary64) im))) (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 #s(literal 8 binary64))))))) (*.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (*.f64 re (-.f64 #s(literal 32 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 8 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 4 binary64) im))) (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 2 binary64))))))) (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 8 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 8 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) im) (*.f64 #s(literal 4 binary64) im))) (*.f64 #s(literal 16 binary64) (/.f64 (pow.f64 (+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 im #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 8 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 8 binary64))))))))) (*.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (sqrt.f64 #s(literal 8 binary64))))
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(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(/.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(+.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(-.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 0 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64) #s(literal 0 binary64)) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
Outputs
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) re)) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(fma.f64 re (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(fma.f64 re (fma.f64 #s(literal 1/8 binary64) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (*.f64 re (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 re (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))))) (*.f64 #s(literal 1/8 binary64) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (*.f64 re (fma.f64 #s(literal -1/16 binary64) (*.f64 re (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) #s(literal 1/8 binary64)))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(*.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(*.f64 (sqrt.f64 re) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))
(*.f64 re (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 re (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))
(*.f64 re (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(*.f64 re (fma.f64 #s(literal -1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))
(*.f64 re (fma.f64 #s(literal -1/16 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (fma.f64 #s(literal -1/32 binary64) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))
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(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))) (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 0 binary64))
(*.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64))) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 0 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))

eval192.0ms (3%)

Compiler

Compiled 14316 to 11227 computations (21.6% saved)

prune76.0ms (1.2%)

Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New4403443
Fresh000
Picked123
Done055
Total44110451
Accuracy
89.0%
Counts
451 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.1%
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
15.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
51.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
5.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
53.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
13.3%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))))
12.3%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 3/2 binary64))))
34.9%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) #s(literal 3/2 binary64))))
35.8%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64))))
78.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
Compiler

Compiled 116 to 96 computations (17.2% saved)

localize292.0ms (4.5%)

Localize:

Found 5 expressions with local error:

NewAccuracyProgram
100.0%
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 3/2 binary64))
98.2%
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) re)
88.9%
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 3/2 binary64)))
92.1%
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) #s(literal 3/2 binary64)))
92.1%
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)))
Results
139.0ms196×0invalid
96.0ms60×0valid
Compiler

Compiled 134 to 99 computations (26.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 158.0ms
ival-pow: 75.0ms (47.6% of total)
ival-mult: 48.0ms (30.4% of total)
ival-cbrt: 14.0ms (8.9% of total)
ival-div: 13.0ms (8.2% of total)
const: 6.0ms (3.8% of total)
ival-add: 1.0ms (0.6% of total)
backward-pass: 0.0ms (0% of total)

series66.0ms (1%)

Counts
5 → 108
Calls
Call 1
Inputs
#<alt (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) #s(literal 3/2 binary64)))>
#<alt (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 3/2 binary64)))>
#<alt (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) re)>
#<alt (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 3/2 binary64))>
Outputs
#<alt (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))>
#<alt (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))>
#<alt (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))>
#<alt (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))>
#<alt (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))>
#<alt (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))>
#<alt (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))>
#<alt (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (+.f64 (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))) (*.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (+.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))) (*.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (*.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))))>
#<alt (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))>
#<alt (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (*.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 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)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 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)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))))>
#<alt (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
Calls

27 calls:

TimeVariablePointExpression
35.0ms
im
@0
(pow (* 2 (/ (* -1/2 (pow im 2)) re)) 3/2)
3.0ms
im
@0
(cbrt (pow (* 2 (/ (* -1/2 (pow im 2)) re)) 3/2))
3.0ms
im
@0
(cbrt (pow (* 2 (+ im re)) 3/2))
2.0ms
im
@0
(cbrt (pow (* 2 im) 3/2))
2.0ms
im
@-inf
(cbrt (pow (* 2 im) 3/2))

rewrite162.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
948×log1p-expm1-u
712×prod-diff
152×expm1-log1p-u
150×add0
149×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
024152
1359122
25067122
Stop Event
node limit
Counts
5 → 186
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 3/2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) re)
(pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 3/2 binary64))
Outputs
(+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) (cbrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 im #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 im #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im))))
(/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)) (+.f64 (*.f64 #s(literal 2 binary64) im) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 0 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) im))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) im)) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) im)) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 0 binary64))
(+.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
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(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (cbrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(/.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 0 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/4 binary64)) #s(literal 0 binary64))

simplify184.0ms (2.9%)

Algorithm
egg-herbie
Rules
849×add0
586×fma-define
493×distribute-rgt-in
463×distribute-lft-in
411×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
053811424
1170511278
2689411266
Stop Event
node limit
Counts
294 → 329
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(+.f64 (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))) (*.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(+.f64 (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))) (*.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))
(*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (*.f64 (pow.f64 re #s(literal 3 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (*.f64 (/.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))))
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(+.f64 (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (*.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(*.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))
(*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 im #s(literal 3 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 re) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 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)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))
(*.f64 #s(literal -1 binary64) (*.f64 re (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 2 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)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))))
(*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 im (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal -1 binary64))))))
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(pow.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) #s(literal 1/3 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) #s(literal 0 binary64))
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) re))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) re))
(*.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (/.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) re)))
(*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 re)) (/.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 re)))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) re))
(*.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) re)))
(*.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) re) (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal -1/2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (cbrt.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 re)) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 re)))
(*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 re)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 re)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (cbrt.f64 re)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 re)) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 re)))
(*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) re))
(*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) (cbrt.f64 re)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64))) (sqrt.f64 re)) (/.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (sqrt.f64 re)))
(*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) re))
(*.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (/.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) (cbrt.f64 re)))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 re)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 re #s(literal -1/2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal -1 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (neg.f64 re)))
(neg.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/2 binary64)) re))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 re #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) re) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 re)) (/.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 re)) #s(literal 0 binary64))
(+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 0 binary64)))
(+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 3/2 binary64)))
(*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (cbrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(/.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 0 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 0 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/4 binary64)) #s(literal 0 binary64))
Outputs
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 im) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 im) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 im) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 im) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 im) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 im) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 im) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(neg.f64 (*.f64 (sqrt.f64 im) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 im) (neg.f64 (*.f64 (cbrt.f64 (sqrt.f64 #s(literal -8 binary64))) (sqrt.f64 #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 re))
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(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 0 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) re))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 0 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) re))
(fma.f64 (/.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 re)) (/.f64 (*.f64 im (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 re)) #s(literal 0 binary64))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) re))
(+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))
(+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 0 binary64)))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))
(+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))
(*.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) re)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) re)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/4 binary64)))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 3/2 binary64)))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))
(*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (cbrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re))) (*.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) (cbrt.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))))
(*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))) (sqrt.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))
(/.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 0 binary64)))))
(/.f64 (pow.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3 binary64)))
(/.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 0 binary64)))
(/.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64)))
(/.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64))))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)))))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64))))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))
(exp.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))
(exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) #s(literal 1 binary64)))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))
(fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))) #s(literal 0 binary64))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) re)) #s(literal 3/2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 0 binary64))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/4 binary64)) #s(literal 0 binary64))
(pow.f64 (/.f64 (neg.f64 (pow.f64 im #s(literal 2 binary64))) re) #s(literal 3/2 binary64))
(pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))

eval112.0ms (1.7%)

Compiler

Compiled 6865 to 5693 computations (17.1% saved)

prune72.0ms (1.1%)

Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New31316329
Fresh000
Picked213
Done077
Total31524339
Accuracy
89.0%
Counts
339 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
28.1%
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
33.7%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
11.9%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
50.6%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64)))
15.4%
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) #s(literal 3 binary64)))
36.0%
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 im #s(literal 2 binary64))))
11.3%
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))))
53.4%
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)))))
47.4%
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/4 binary64)) #s(literal 1/3 binary64))))
50.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64))))))
50.9%
(*.f64 #s(literal 1/2 binary64) (*.f64 (cbrt.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 3/4 binary64))) (cbrt.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 3/4 binary64)))))
15.5%
(*.f64 #s(literal 1/2 binary64) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))))
51.2%
(*.f64 #s(literal 1/2 binary64) (*.f64 im (/.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
15.6%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
51.5%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
5.7%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
53.8%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
13.3%
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))))
47.5%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 1/3 binary64))))
14.8%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) #s(literal 1/3 binary64))))
48.1%
(*.f64 #s(literal 1/2 binary64) (exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
12.3%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))))
35.8%
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64))))
78.7%
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
Compiler

Compiled 661 to 530 computations (19.8% saved)

regimes68.0ms (1.1%)

Counts
29 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (/.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 1/3 binary64))))
(*.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) (exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) im))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) re)) #s(literal 3/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) #s(literal 1/3 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (fabs.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (*.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cbrt.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 3/4 binary64))) (cbrt.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 3/4 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) im) #s(literal 3/4 binary64)) #s(literal 1/3 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
Calls

7 calls:

14.0ms
re
10.0ms
(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
10.0ms
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
9.0ms
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
9.0ms
(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
Results
AccuracySegmentsBranch
84.9%2re
78.7%1im
82.9%2(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))
82.9%2(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
81.8%2(*.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))
81.8%2(+.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
78.7%1(*.f64 im im)
Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes7.0ms (0.1%)

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

2 calls:

3.0ms
re
3.0ms
im
Results
AccuracySegmentsBranch
78.7%1im
78.7%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.2%)

Counts
7 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
(*.f64 #s(literal 1/2 binary64) (*.f64 im (/.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (*.f64 im #s(literal 2 binary64)) #s(literal 3/2 binary64)) (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 im re)))))
Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
Calls

2 calls:

6.0ms
im
4.0ms
re
Results
AccuracySegmentsBranch
64.2%2re
63.1%2im
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

0.0ms
im
0.0ms
re
Results
AccuracySegmentsBranch
28.1%1im
28.1%1re
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch23.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
21.0ms
-3.953675587513176e+53
-9.007225870880121e+52
Results
3.0ms36×0valid
6.0ms32×1valid
8.0ms28×2valid
Compiler

Compiled 160 to 124 computations (22.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 5.0ms (41% of total)
ival-sqrt: 3.0ms (24.6% of total)
ival-add: 2.0ms (16.4% of total)
backward-pass: 2.0ms (16.4% of total)
const: 0.0ms (0% of total)

bsearch18.0ms (0.3%)

Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
1.8564262060856276e-17
1.1982676264905204e-12
Results
10.0ms128×0valid
Compiler

Compiled 150 to 128 computations (14.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (43.3% of total)
ival-sqrt: 2.0ms (28.9% of total)
ival-add: 1.0ms (14.4% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

simplify14.0ms (0.2%)

Algorithm
egg-herbie
Rules
39×unsub-neg
29×add0
23×cancel-sign-sub-inv
17×neg-mul-1
16×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034157
167157
290157
3103157
4112157
5133157
6157157
7164157
8179157
9216157
10244157
11245157
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 re #s(literal -129999999999999999118723327667011636940022097452728320 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
(if (<=.f64 re #s(literal 7463926734143815/324518553658426726783156020576256 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
Outputs
(if (<=.f64 re #s(literal -129999999999999999118723327667011636940022097452728320 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
(if (<=.f64 re #s(literal 7463926734143815/324518553658426726783156020576256 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 re)))
(if (<=.f64 re #s(literal 7463926734143815/324518553658426726783156020576256 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64)))) (sqrt.f64 re))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(sqrt.f64 re)

soundness760.0ms (11.8%)

Rules
838×fma-neg
834×add0
808×log1p-expm1-u
808×expm1-log1p-u
697×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
023225
1353225
24125225
042266
1151266
2351266
3616266
4769266
5954266
61151266
71356266
81433266
91441266
089830849
1338329897
2782629897
Stop Event
fuel
node limit
saturated
node limit
Compiler

Compiled 477 to 258 computations (45.9% saved)

preprocess49.0ms (0.8%)

Remove

(abs im)

Compiler

Compiled 298 to 196 computations (34.2% saved)

end0.0ms (0%)

Profiling

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