Details

Time bar (total: 12.0s)

analyze234.0ms (2%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%50%0.1%0%50%0%2
0%0%50%0.1%0%50%0%3
0%0%50%0.1%0%50%0%4
25%12.5%37.5%0.1%0%50%0%5
26.7%12.5%34.3%0.1%0%53.1%0%6
37%15.6%26.5%0.1%1.6%54.6%1.6%7
40.8%15.6%22.6%0.1%2.3%57%2.3%8
49.4%17.2%17.6%0.1%3.5%58.1%3.5%9
53.3%17.2%15%0.1%4.1%59.5%4.1%10
59.5%18%12.2%0.1%4.8%60.2%4.8%11
62.5%18%10.8%0.1%5.1%60.9%5.1%12
Compiler

Compiled 19 to 16 computations (15.8% saved)

sample3.0s (25.1%)

Results
1.6s8256×body256valid
768.0ms1370×body1024invalid
263.0ms1491×body256invalid
205.0ms674×body512invalid
108.0ms476×body256infinite
55.0ms239×body256unsamplable
Bogosity

preprocess69.0ms (0.6%)

Algorithm
2×egg-herbie
Rules
1012×fma-def
856×unswap-sqr
852×div-sub
824×unsub-neg
682×associate-/r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02498
15586
212286
326086
466586
5184578
6405678
7720078
022
Stop Event
1×saturated
1×node limit
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) k) (/.f64 (-.f64 1 n) 2)))
Outputs
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1/2 (/.f64 k 2))))
(/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (+.f64 1/2 (*.f64 -1/2 k))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (fma.f64 -1/2 k 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(*.f64 (/.f64 1 (sqrt.f64 n)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) k) (/.f64 (-.f64 1 n) 2)))
(*.f64 (/.f64 1 (sqrt.f64 n)) (pow.f64 (*.f64 k (*.f64 2 (PI.f64))) (-.f64 1/2 (/.f64 n 2))))
(/.f64 (pow.f64 (*.f64 k (*.f64 2 (PI.f64))) (/.f64 (-.f64 1 n) 2)) (sqrt.f64 n))
(/.f64 (pow.f64 (*.f64 k (*.f64 2 (PI.f64))) (+.f64 1/2 (*.f64 -1/2 n))) (sqrt.f64 n))
(/.f64 (pow.f64 (*.f64 k (*.f64 2 (PI.f64))) (fma.f64 -1/2 n 1/2)) (sqrt.f64 n))
(/.f64 (pow.f64 (*.f64 k (*.f64 2 (PI.f64))) (fma.f64 n -1/2 1/2)) (sqrt.f64 n))
Compiler

Compiled 20 to 17 computations (15% saved)

simplify52.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
1200×associate-/r*
1020×associate-*r/
918×div-sub
904×distribute-frac-neg
870×associate-/l*
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01749
13543
27143
314543
435843
597039
6216039
7556639
Stop Event
1×node limit
Counts
1 → 8
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
Outputs
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1/2 (/.f64 k 2))))
(/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1/2 (/.f64 k 2))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (+.f64 1/2 (/.f64 k -2))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (+.f64 1/2 (*.f64 -1/2 k))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (fma.f64 -1/2 k 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))

eval2.0ms (0%)

Compiler

Compiled 116 to 73 computations (37.1% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New628
Fresh011
Picked000
Done000
Total639
Accurracy
99.5%
Counts
9 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
▶99.4%
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
Compiler

Compiled 34 to 28 computations (17.6% saved)

localize26.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2))
✓99.6%
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
✓99.6%
(*.f64 (*.f64 2 (PI.f64)) n)
✓99.6%
(/.f64 1 (sqrt.f64 k))
Compiler

Compiled 56 to 38 computations (32.1% saved)

series61.0ms (0.5%)

Counts
4 → 48
Calls

18 calls:

TimeVariablePointExpression
30.0ms
n
@0
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
17.0ms
n
@-inf
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
6.0ms
n
@inf
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
2.0ms
k
@0
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
1.0ms
k
@-inf
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))

rewrite95.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1766×log-prod
628×expm1-udef
626×log1p-udef
382×prod-diff
364×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017102
136498
2460490
Stop Event
1×node limit
Counts
4 → 99
Calls
Call 1
Inputs
(/.f64 1 (sqrt.f64 k))
(*.f64 (*.f64 2 (PI.f64)) n)
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
(pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 k -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 k -1/2))) (cbrt.f64 (exp.f64 (pow.f64 k -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 k -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 k -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 k -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 k -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 k -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 k -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 k -1/2)) (cbrt.f64 (/.f64 1 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 k)) (cbrt.f64 (pow.f64 k -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 k -1/2)) (sqrt.f64 (pow.f64 k -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 k) -1) (pow.f64 (cbrt.f64 (sqrt.f64 k)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 k 1/4) -1) (pow.f64 (pow.f64 k 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 k -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 k) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 k -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 k -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 k -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 k -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1 k))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 k -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 k -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 k -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 k -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 k -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 k)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 k -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 k -1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (*.f64 (PI.f64) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 (PI.f64) n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 (PI.f64) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (*.f64 2 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (*.f64 (PI.f64) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (*.f64 (PI.f64) n))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (sqrt.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (/.f64 (sqrt.f64 k) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (/.f64 (-.f64 1 k) 4)) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (/.f64 (-.f64 1 k) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 2 (PI.f64)) (-.f64 1/2 (*.f64 k 1/2))) (/.f64 (sqrt.f64 k) (pow.f64 n (-.f64 1/2 (*.f64 k 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (neg.f64 (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (pow.f64 k 1/4)) (pow.f64 k 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) -1) (neg.f64 (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (neg.f64 (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 1) (sqrt.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (cbrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 3) (pow.f64 (pow.f64 k -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 3) (pow.f64 k 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))) (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (/.f64 (-.f64 1 k) 4)) (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (/.f64 (-.f64 1 k) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (PI.f64)) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 n (-.f64 1/2 (*.f64 k 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (*.f64 2 (PI.f64)) (-.f64 1/2 (*.f64 k 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (-.f64 1/2 (*.f64 k 1/2))) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (*.f64 (PI.f64) n) (-.f64 1/2 (*.f64 k 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) (-.f64 1/2 (*.f64 k 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) (-.f64 1/2 (*.f64 k 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (*.f64 k 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))))))

simplify106.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1608×fma-def
898×log-prod
504×exp-prod
472×exp-sum
366×sqr-pow
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03025773
16625349
223764549
364834543
Stop Event
1×node limit
Counts
147 → 186
Calls
Call 1
Inputs
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))) (*.f64 1/8 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (sqrt.f64 (*.f64 n (PI.f64)))))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))) (+.f64 (*.f64 1/8 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 -1/48 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))) (sqrt.f64 (*.f64 n (PI.f64))))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(+.f64 0 (pow.f64 k -1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 k -1/2))) (cbrt.f64 (exp.f64 (pow.f64 k -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 k -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 k -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 k -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 k -1/2))) 1)
(*.f64 1 (pow.f64 k -1/2))
(*.f64 (pow.f64 k -1/2) 1)
(*.f64 (cbrt.f64 (pow.f64 k -1/2)) (cbrt.f64 (/.f64 1 k)))
(*.f64 (cbrt.f64 (/.f64 1 k)) (cbrt.f64 (pow.f64 k -1/2)))
(*.f64 (sqrt.f64 (pow.f64 k -1/2)) (sqrt.f64 (pow.f64 k -1/2)))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 k))))
(*.f64 (pow.f64 (cbrt.f64 k) -1) (pow.f64 (cbrt.f64 (sqrt.f64 k)) -1))
(*.f64 (pow.f64 (pow.f64 k 1/4) -1) (pow.f64 (pow.f64 k 1/4) -1))
(pow.f64 k -1/2)
(pow.f64 (sqrt.f64 k) -1)
(pow.f64 (pow.f64 k -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 k -1/2)) 3)
(pow.f64 (pow.f64 (pow.f64 k -1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 k -1/2)) 2)
(sqrt.f64 (/.f64 1 k))
(log.f64 (exp.f64 (pow.f64 k -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 k -1/2))))
(cbrt.f64 (pow.f64 (pow.f64 k -1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 k -1/2)))
(exp.f64 (log.f64 (pow.f64 k -1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 k)) -1))
(exp.f64 (*.f64 (log.f64 (pow.f64 k -1/2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 k -1/2)))
(+.f64 0 (*.f64 2 (*.f64 (PI.f64) n)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 (PI.f64) n)))) 1)
(pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) 3)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2)
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) 2))
(log.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 (PI.f64) n)))))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) 3))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3) (pow.f64 n 3)))
(cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (*.f64 2 (PI.f64)) 3)))
(expm1.f64 (log1p.f64 (*.f64 2 (*.f64 (PI.f64) n))))
(exp.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 1))
(log1p.f64 (expm1.f64 (*.f64 2 (*.f64 (PI.f64) n))))
(+.f64 0 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))) 1)
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (/.f64 (sqrt.f64 k) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))))
(/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (/.f64 (-.f64 1 k) 4)) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (/.f64 (-.f64 1 k) 4))))
(/.f64 (pow.f64 (*.f64 2 (PI.f64)) (-.f64 1/2 (*.f64 k 1/2))) (/.f64 (sqrt.f64 k) (pow.f64 n (-.f64 1/2 (*.f64 k 1/2)))))
(/.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (neg.f64 (sqrt.f64 k)))
(/.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (pow.f64 k 1/4)) (pow.f64 k 1/4))
(/.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) -1) (neg.f64 (sqrt.f64 k)))
(/.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (neg.f64 (sqrt.f64 k)))
(/.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 1) (sqrt.f64 k))
(/.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (cbrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))) 2)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 3) (pow.f64 (pow.f64 k -1/2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 3) (pow.f64 k 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))
(+.f64 0 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))) (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))) 1)
(*.f64 1 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))
(*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (/.f64 (-.f64 1 k) 4)) (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (/.f64 (-.f64 1 k) 4)))
(*.f64 (pow.f64 (*.f64 2 (PI.f64)) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 n (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 n (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (*.f64 2 (PI.f64)) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 1 (-.f64 1/2 (*.f64 k 1/2))) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))
(*.f64 (pow.f64 2 (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (*.f64 (PI.f64) n) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) (-.f64 1/2 (*.f64 k 1/2))))
(/.f64 (sqrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (*.f64 k 1/2)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))
(log.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))
(exp.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))
Outputs
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64))))))
(*.f64 (sqrt.f64 (pow.f64 k -1)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64))))))
(*.f64 (sqrt.f64 (pow.f64 k -1)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64))))))
(*.f64 (sqrt.f64 (pow.f64 k -1)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64))))))
(*.f64 (sqrt.f64 (pow.f64 k -1)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64))))))
(*.f64 (sqrt.f64 (pow.f64 k -1)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64))))))
(*.f64 (sqrt.f64 (pow.f64 k -1)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64))))))
(*.f64 (sqrt.f64 (pow.f64 k -1)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64))))))
(*.f64 (sqrt.f64 (pow.f64 k -1)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))))
(*.f64 (sqrt.f64 (pow.f64 k -1)) (pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))))
(*.f64 (sqrt.f64 (pow.f64 k -1)) (pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))))
(*.f64 (sqrt.f64 (pow.f64 k -1)) (pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))))
(*.f64 (sqrt.f64 (pow.f64 k -1)) (pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64))))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (+.f64 (sqrt.f64 2) (*.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))))))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (fma.f64 -1/2 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 k (sqrt.f64 2))) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))) (*.f64 1/8 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (sqrt.f64 (*.f64 n (PI.f64)))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64))))) (sqrt.f64 (*.f64 n (PI.f64))))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 1/8 (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 k k) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 k (log.f64 (*.f64 n (*.f64 2 (PI.f64))))))) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (+.f64 (sqrt.f64 2) (*.f64 (*.f64 1/8 (sqrt.f64 2)) (*.f64 (*.f64 k k) (pow.f64 (log.f64 (*.f64 n (*.f64 2 (PI.f64)))) 2))))))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (+.f64 (*.f64 -1/2 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 k (sqrt.f64 2)))) (fma.f64 1/8 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) 2) (*.f64 (sqrt.f64 2) (*.f64 k k))) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))) (+.f64 (*.f64 1/8 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 -1/48 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))) (sqrt.f64 (*.f64 n (PI.f64))))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64))))) (sqrt.f64 (*.f64 n (PI.f64))))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))) (fma.f64 1/8 (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 k k) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)))) (*.f64 -1/48 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (pow.f64 k 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)) (sqrt.f64 (*.f64 n (PI.f64)))))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (+.f64 (sqrt.f64 2) (*.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 n (*.f64 2 (PI.f64))))))))) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (+.f64 (*.f64 (*.f64 1/8 (sqrt.f64 2)) (*.f64 (*.f64 k k) (pow.f64 (log.f64 (*.f64 n (*.f64 2 (PI.f64)))) 2))) (*.f64 (*.f64 -1/48 (sqrt.f64 2)) (*.f64 (pow.f64 k 3) (pow.f64 (log.f64 (*.f64 n (*.f64 2 (PI.f64)))) 3))))))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (+.f64 (fma.f64 -1/2 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 k (sqrt.f64 2))) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 k 3) (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) 3))) (*.f64 1/8 (*.f64 (*.f64 k k) (pow.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) 2)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(+.f64 0 (pow.f64 k -1/2))
(pow.f64 k -1/2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 k -1/2))) (cbrt.f64 (exp.f64 (pow.f64 k -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 k -1/2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 k -1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 k -1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 k -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 k -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 k -1/2)))))
(pow.f64 k -1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 k -1/2))) 1)
(pow.f64 k -1/2)
(*.f64 1 (pow.f64 k -1/2))
(pow.f64 k -1/2)
(*.f64 (pow.f64 k -1/2) 1)
(pow.f64 k -1/2)
(*.f64 (cbrt.f64 (pow.f64 k -1/2)) (cbrt.f64 (/.f64 1 k)))
(*.f64 (cbrt.f64 (pow.f64 k -1/2)) (cbrt.f64 (pow.f64 k -1)))
(*.f64 (cbrt.f64 (/.f64 1 k)) (cbrt.f64 (pow.f64 k -1/2)))
(*.f64 (cbrt.f64 (pow.f64 k -1/2)) (cbrt.f64 (/.f64 1 k)))
(*.f64 (cbrt.f64 (pow.f64 k -1/2)) (cbrt.f64 (pow.f64 k -1)))
(*.f64 (sqrt.f64 (pow.f64 k -1/2)) (sqrt.f64 (pow.f64 k -1/2)))
(pow.f64 k -1/2)
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 k))))
(/.f64 -1 (neg.f64 (sqrt.f64 k)))
(/.f64 1 (sqrt.f64 k))
(*.f64 (pow.f64 (cbrt.f64 k) -1) (pow.f64 (cbrt.f64 (sqrt.f64 k)) -1))
(*.f64 (/.f64 1 (cbrt.f64 k)) (/.f64 1 (cbrt.f64 (sqrt.f64 k))))
(/.f64 1 (*.f64 (cbrt.f64 k) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (pow.f64 (pow.f64 k 1/4) -1) (pow.f64 (pow.f64 k 1/4) -1))
(/.f64 -1 (neg.f64 (sqrt.f64 k)))
(/.f64 1 (sqrt.f64 k))
(pow.f64 k -1/2)
(pow.f64 (sqrt.f64 k) -1)
(/.f64 -1 (neg.f64 (sqrt.f64 k)))
(/.f64 1 (sqrt.f64 k))
(pow.f64 (pow.f64 k -1/2) 1)
(pow.f64 k -1/2)
(pow.f64 (cbrt.f64 (pow.f64 k -1/2)) 3)
(pow.f64 k -1/2)
(pow.f64 (pow.f64 (pow.f64 k -1/2) 3) 1/3)
(pow.f64 k -1/2)
(pow.f64 (sqrt.f64 (pow.f64 k -1/2)) 2)
(pow.f64 k -1/2)
(sqrt.f64 (/.f64 1 k))
(sqrt.f64 (pow.f64 k -1))
(log.f64 (exp.f64 (pow.f64 k -1/2)))
(pow.f64 k -1/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 k -1/2))))
(pow.f64 k -1/2)
(cbrt.f64 (pow.f64 (pow.f64 k -1/2) 3))
(pow.f64 k -1/2)
(expm1.f64 (log1p.f64 (pow.f64 k -1/2)))
(pow.f64 k -1/2)
(exp.f64 (log.f64 (pow.f64 k -1/2)))
(pow.f64 k -1/2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 k)) -1))
(/.f64 -1 (neg.f64 (sqrt.f64 k)))
(/.f64 1 (sqrt.f64 k))
(exp.f64 (*.f64 (log.f64 (pow.f64 k -1/2)) 1))
(pow.f64 k -1/2)
(log1p.f64 (expm1.f64 (pow.f64 k -1/2)))
(pow.f64 k -1/2)
(+.f64 0 (*.f64 2 (*.f64 (PI.f64) n)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64))))))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (*.f64 (PI.f64) n)))) 1)
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) 1)
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) 3)
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) 3) 1/3)
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2)
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) 2))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(log.f64 (pow.f64 (exp.f64 n) (*.f64 2 (PI.f64))))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (*.f64 (PI.f64) n)))))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) 3))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 2 (PI.f64)) 3) (pow.f64 n 3)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(cbrt.f64 (*.f64 (pow.f64 n 3) (pow.f64 (*.f64 2 (PI.f64)) 3)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(expm1.f64 (log1p.f64 (*.f64 2 (*.f64 (PI.f64) n))))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(exp.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 1))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(log1p.f64 (expm1.f64 (*.f64 2 (*.f64 (PI.f64) n))))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 n (*.f64 2 (PI.f64)))
(*.f64 (PI.f64) (*.f64 2 n))
(+.f64 0 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)) k))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)) k))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))) 1)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))
(*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (sqrt.f64 k))
(*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (/.f64 (sqrt.f64 k) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k))) (sqrt.f64 k)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k))) (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (/.f64 (-.f64 1 k) 4)) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (/.f64 (-.f64 1 k) 4))))
(*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 2 (PI.f64)) (-.f64 1/2 (*.f64 k 1/2))) (/.f64 (sqrt.f64 k) (pow.f64 n (-.f64 1/2 (*.f64 k 1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (neg.f64 (sqrt.f64 k)))
(*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (pow.f64 k 1/4)) (pow.f64 k 1/4))
(*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (*.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) -1) (neg.f64 (sqrt.f64 k)))
(*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (*.f64 -1 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (neg.f64 (sqrt.f64 k)))
(*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 1) (sqrt.f64 k))
(*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (cbrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 k)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k))) (*.f64 (cbrt.f64 k) (cbrt.f64 (sqrt.f64 k))))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (*.f64 (cbrt.f64 k) (cbrt.f64 (sqrt.f64 k))))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)) 1)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))) 3)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)) 3) 1/3)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))) 2)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)) 3))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 3/2)))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 3) (pow.f64 (pow.f64 k -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 3) (pow.f64 k 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) 3) (pow.f64 k 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k))) 3) (pow.f64 k 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) 3) (pow.f64 k 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 3/2) (pow.f64 k 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))) 1))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(+.f64 0 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))) (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))) (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))) 1)
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(*.f64 1 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 1)
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (-.f64 1 k)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))))
(*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (/.f64 (-.f64 1 k) 4)) (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (/.f64 (-.f64 1 k) 4)))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(*.f64 (pow.f64 (*.f64 2 (PI.f64)) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 n (-.f64 1/2 (*.f64 k 1/2))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(*.f64 (pow.f64 n (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (*.f64 2 (PI.f64)) (-.f64 1/2 (*.f64 k 1/2))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(*.f64 (pow.f64 1 (-.f64 1/2 (*.f64 k 1/2))) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(*.f64 (pow.f64 2 (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (*.f64 (PI.f64) n) (-.f64 1/2 (*.f64 k 1/2))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 2 (PI.f64)))) 2) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (cbrt.f64 (*.f64 n (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) 2) (fma.f64 k -1/2 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (fma.f64 k -1/2 1/2)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) (-.f64 1/2 (*.f64 k 1/2))))
(pow.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (*.f64 2 (-.f64 1/2 (*.f64 k 1/2))))
(pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 (PI.f64)))) (+.f64 1 (*.f64 2 (*.f64 k -1/2))))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 2 (fma.f64 k -1/2 1/2)))
(/.f64 (sqrt.f64 (*.f64 2 (*.f64 (PI.f64) n))) (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (*.f64 k 1/2)))
(/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 k 1/2)))
(/.f64 (sqrt.f64 (*.f64 n (*.f64 2 (PI.f64)))) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (*.f64 k 1/2)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (*.f64 k 1/2)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(log.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(cbrt.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 3))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(exp.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) 1))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (-.f64 1/2 (*.f64 k 1/2))) (log.f64 (*.f64 n (*.f64 2 (PI.f64)))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2))

localize22.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 (-.f64 1 k) 2))
✓99.6%
(*.f64 (PI.f64) (*.f64 2 n))
✓99.6%
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
Compiler

Compiled 50 to 34 computations (32% saved)

series3.0ms (0%)

Counts
3 → 48
Calls

15 calls:

TimeVariablePointExpression
0.0ms
k
@-inf
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
0.0ms
k
@0
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
0.0ms
k
@inf
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
0.0ms
k
@0
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 (-.f64 1 k) 2))
0.0ms
n
@0
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))

rewrite92.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1706×log-prod
602×expm1-udef
600×log1p-udef
544×log-pow
454×prod-diff
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01691
134391
2440883
Stop Event
1×node limit
Counts
3 → 82
Calls
Call 1
Inputs
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
(*.f64 (PI.f64) (*.f64 2 n))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 (-.f64 1 k) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 k -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (pow.f64 k -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) (*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) (pow.f64 k -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) (*.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 k -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (/.f64 1 (neg.f64 (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 k -1/2) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 k 1/4)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 k 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 k)) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 k 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (pow.f64 k 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) 1) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) (cbrt.f64 (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) 1) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) (cbrt.f64 k)) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (cbrt.f64 (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 k 1/4)) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 k 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (neg.f64 (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) 3) (pow.f64 k 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (+.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (+.f64 n n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (+.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 n n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 n n) 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (+.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (+.f64 n n))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))) (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (-.f64 1/2 (*.f64 k 1/2))) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (-.f64 1/2 (*.f64 k 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (-.f64 1/2 (*.f64 k 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) 2) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 n (-.f64 1/2 (*.f64 k 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 k 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))))))

simplify120.0ms (1%)

Algorithm
1×egg-herbie
Rules
1434×fma-def
844×log-prod
758×unswap-sqr
560×associate-/l*
444×exp-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02816082
16365668
223204848
369324846
Stop Event
1×node limit
Counts
130 → 144
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))) (*.f64 1/8 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (sqrt.f64 (*.f64 n (PI.f64)))))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))) (+.f64 (*.f64 1/8 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 -1/48 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))) (sqrt.f64 (*.f64 n (PI.f64))))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(+.f64 0 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 k -1/2))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (pow.f64 k -1/2)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) (*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) (pow.f64 k -1/2)))
(*.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) (*.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 k -1/2)))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (/.f64 1 (neg.f64 (sqrt.f64 k))))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(*.f64 (/.f64 1 (cbrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 1 (pow.f64 k 1/4)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 k 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (sqrt.f64 k)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 k)) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 k 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (pow.f64 k 1/4)))
(*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) 1) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) (sqrt.f64 k)))
(*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) 1) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (sqrt.f64 k)))
(*.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) (cbrt.f64 k)) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 k 1/4)) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 k 1/4)))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 2)
(pow.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) -1)
(neg.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (neg.f64 (sqrt.f64 k))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3))
(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) 3) (pow.f64 k 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(+.f64 0 (*.f64 (PI.f64) (+.f64 n n)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (+.f64 n n)))) 1)
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) 2)
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 n n) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 n n) 3) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (+.f64 n n))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (+.f64 n n))))
(+.f64 0 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))) (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))) 1)
(*.f64 1 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)))
(*.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 1 (-.f64 1/2 (*.f64 k 1/2))) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 n (-.f64 1/2 (*.f64 k 1/2))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 k 1/2)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))
(log.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(exp.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
Outputs
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 (PI.f64) (+.f64 n n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 (PI.f64) (+.f64 n n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 (PI.f64) (+.f64 n n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 (PI.f64) (+.f64 n n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 (PI.f64) (+.f64 n n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 (PI.f64) (+.f64 n n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 (PI.f64) (+.f64 n n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 (PI.f64) (+.f64 n n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 (PI.f64) (+.f64 n n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 (PI.f64) (+.f64 n n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 (PI.f64) (+.f64 n n))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 (PI.f64) (+.f64 n n))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 (PI.f64) n)))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 k (log.f64 (*.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 (*.f64 (PI.f64) n)))) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 (PI.f64) n))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (+.f64 (sqrt.f64 2) (*.f64 -1/2 (*.f64 k (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) (sqrt.f64 2))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (fma.f64 -1/2 (*.f64 k (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) (sqrt.f64 2))) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))) (*.f64 1/8 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (sqrt.f64 (*.f64 n (PI.f64)))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 k (log.f64 (*.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 (*.f64 (PI.f64) n)))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 (PI.f64) n)) (*.f64 1/8 (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 k k) (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2)))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (*.f64 k (log.f64 (*.f64 (PI.f64) (+.f64 n n)))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (+.f64 (sqrt.f64 2) (*.f64 (*.f64 1/8 (sqrt.f64 2)) (*.f64 k (*.f64 k (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2)))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (+.f64 (*.f64 -1/2 (*.f64 k (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) (sqrt.f64 2)))) (fma.f64 1/8 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) (*.f64 (sqrt.f64 2) (*.f64 k k))) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))) (+.f64 (*.f64 1/8 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 -1/48 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))) (sqrt.f64 (*.f64 n (PI.f64))))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 k (log.f64 (*.f64 (PI.f64) (+.f64 n n)))) (sqrt.f64 (*.f64 (PI.f64) n)))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 (PI.f64) n)) (fma.f64 1/8 (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 k k) (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2)))) (*.f64 -1/48 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (pow.f64 k 3) (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 3)) (sqrt.f64 (*.f64 (PI.f64) n))))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (+.f64 (sqrt.f64 2) (*.f64 -1/2 (*.f64 k (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) (sqrt.f64 2)))))) (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (+.f64 (*.f64 (*.f64 1/8 (sqrt.f64 2)) (*.f64 k (*.f64 k (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2)))) (*.f64 (*.f64 -1/48 (sqrt.f64 2)) (*.f64 (pow.f64 k 3) (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 3))))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (+.f64 (fma.f64 -1/2 (*.f64 k (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) (sqrt.f64 2))) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1/8 (*.f64 k (*.f64 k (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2)))) (*.f64 -1/48 (*.f64 (pow.f64 k 3) (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 3)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(+.f64 0 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) 1)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(*.f64 1 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 k -1/2))
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (pow.f64 k -1/2))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (pow.f64 k -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (*.f64 (pow.f64 k -1/2) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))
(*.f64 (pow.f64 k -1/2) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))
(*.f64 (pow.f64 k -1/2) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) (*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) (pow.f64 k -1/2)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 k -1/2))
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (pow.f64 k -1/2))
(*.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) (*.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 k -1/2)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 k -1/2))
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (pow.f64 k -1/2))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (/.f64 1 (neg.f64 (sqrt.f64 k))))
(*.f64 1 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 k -1/2))
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (pow.f64 k -1/2))
(*.f64 (/.f64 1 (cbrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 k))))
(/.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 k))) (cbrt.f64 k))
(/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 k)))
(*.f64 (/.f64 1 (pow.f64 k 1/4)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 k 1/4)))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (/.f64 1 (neg.f64 (sqrt.f64 k))))
(*.f64 1 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (sqrt.f64 k)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))) (sqrt.f64 k))
(/.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 k)) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 k)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 k 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (pow.f64 k 1/4)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))) (sqrt.f64 k))
(/.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) 1) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) (sqrt.f64 k)))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (/.f64 1 (neg.f64 (sqrt.f64 k))))
(*.f64 1 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 1 (cbrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 k))))
(/.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 k))) (cbrt.f64 k))
(/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 k)))
(*.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) 1) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (sqrt.f64 k)))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (/.f64 1 (neg.f64 (sqrt.f64 k))))
(*.f64 1 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(*.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) (cbrt.f64 k)) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 1 (cbrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 k))))
(/.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 k))) (cbrt.f64 k))
(/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 k)))
(*.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 k 1/4)) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 k 1/4)))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (/.f64 1 (neg.f64 (sqrt.f64 k))))
(*.f64 1 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3) 1/3)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 2)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(pow.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) -1)
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (/.f64 1 (neg.f64 (sqrt.f64 k))))
(*.f64 1 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(neg.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (neg.f64 (sqrt.f64 k))))
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (/.f64 1 (neg.f64 (sqrt.f64 k))))
(*.f64 1 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) 3) (pow.f64 k 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) 3) (pow.f64 k 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 3/2) (pow.f64 k 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(+.f64 0 (*.f64 (PI.f64) (+.f64 n n)))
(*.f64 (PI.f64) (+.f64 n n))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64)))))
(*.f64 (PI.f64) (+.f64 n n))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (+.f64 n n)))) 1)
(*.f64 (PI.f64) (+.f64 n n))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1)
(*.f64 (PI.f64) (+.f64 n n))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) 3)
(*.f64 (PI.f64) (+.f64 n n))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 3) 1/3)
(*.f64 (PI.f64) (+.f64 n n))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) 2)
(*.f64 (PI.f64) (+.f64 n n))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 2))
(*.f64 (PI.f64) (+.f64 n n))
(log.f64 (pow.f64 (pow.f64 (exp.f64 n) 2) (PI.f64)))
(*.f64 (PI.f64) (+.f64 n n))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(*.f64 (PI.f64) (+.f64 n n))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 3))
(*.f64 (PI.f64) (+.f64 n n))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 (+.f64 n n) 3)))
(*.f64 (PI.f64) (+.f64 n n))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 n n) 3) (pow.f64 (PI.f64) 3)))
(*.f64 (PI.f64) (+.f64 n n))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (+.f64 n n))))
(*.f64 (PI.f64) (+.f64 n n))
(exp.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(*.f64 (PI.f64) (+.f64 n n))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 1))
(*.f64 (PI.f64) (+.f64 n n))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (+.f64 n n))))
(*.f64 (PI.f64) (+.f64 n n))
(+.f64 0 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))) (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))) 1)
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(*.f64 1 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) 1)
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 (-.f64 1 k) 4)))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(*.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(*.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(*.f64 (pow.f64 1 (-.f64 1/2 (*.f64 k 1/2))) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) (+.f64 1/2 (*.f64 k -1/2))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (+.f64 1/2 (*.f64 k -1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) (fma.f64 k -1/2 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (fma.f64 k -1/2 1/2)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (-.f64 1/2 (*.f64 k 1/2))))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (*.f64 2 (-.f64 1/2 (*.f64 k 1/2))))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (+.f64 1 (*.f64 2 (*.f64 k -1/2))))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (*.f64 2 (fma.f64 k -1/2 1/2)))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 n (-.f64 1/2 (*.f64 k 1/2))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 k 1/2)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(log.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(cbrt.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) 3))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(exp.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) 1))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))
(pow.f64 (exp.f64 (+.f64 1/2 (*.f64 k -1/2))) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))

eval134.0ms (1.1%)

Compiler

Compiled 7284 to 4510 computations (38.1% saved)

prune71.0ms (0.6%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New31218330
Fresh000
Picked011
Done101
Total31319332
Accurracy
100.0%
Counts
332 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶81.3%
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)
✓99.4%
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
99.4%
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (+.f64 1 (*.f64 2 (*.f64 k -1/2)))) (sqrt.f64 k))
95.1%
(/.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n)))) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
99.6%
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 k 1/2))) (sqrt.f64 k))
66.4%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (+.f64 (sqrt.f64 2) (*.f64 -1/2 (*.f64 k (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) (sqrt.f64 2)))))) (sqrt.f64 k))
66.0%
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 (PI.f64) n))) (sqrt.f64 k))
95.0%
(/.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (sqrt.f64 k))
99.4%
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))
99.3%
(*.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) (*.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 k -1/2)))
99.5%
(*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
99.2%
(*.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) 1) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (sqrt.f64 k)))
▶99.6%
(*.f64 (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (*.f64 k 1/2))))
▶66.1%
(*.f64 (/.f64 1 (sqrt.f64 k)) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))))
▶95.0%
(*.f64 (/.f64 1 (sqrt.f64 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))))
99.4%
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
94.9%
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 k -1/2))) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
▶82.1%
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
78.7%
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
Compiler

Compiled 688 to 541 computations (21.4% saved)

localize31.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.8%
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
✓99.6%
(*.f64 (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (*.f64 k 1/2))))
99.6%
(*.f64 (PI.f64) (*.f64 2 n))
99.6%
(/.f64 1 (sqrt.f64 k))
Compiler

Compiled 77 to 51 computations (33.8% saved)

series13.0ms (0.1%)

Counts
2 → 0
Calls

9 calls:

TimeVariablePointExpression
5.0ms
k
@0
(*.f64 (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (*.f64 k 1/2))))
2.0ms
n
@inf
(*.f64 (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (*.f64 k 1/2))))
1.0ms
n
@0
(*.f64 (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (*.f64 k 1/2))))
1.0ms
n
@-inf
(*.f64 (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (*.f64 k 1/2))))
1.0ms
k
@-inf
(*.f64 (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (*.f64 k 1/2))))

rewrite91.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1034×pow-exp
666×expm1-udef
666×log1p-udef
646×log-pow
386×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01980
139662
2503860
Stop Event
1×node limit
Counts
2 → 95
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (*.f64 k 1/2))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (/.f64 (sqrt.f64 k) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (sqrt.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))) 2) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (/.f64 (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))) (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2) (sqrt.f64 (*.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 1/4) (/.f64 (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)) (neg.f64 (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (*.f64 (sqrt.f64 k) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (*.f64 (neg.f64 (sqrt.f64 k)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (neg.f64 (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) 1) (*.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))) (*.f64 (neg.f64 (sqrt.f64 k)) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) -1) (*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k) (neg.f64 (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) -1) (*.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)) (neg.f64 (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))) (neg.f64 (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 k 1/4)) (pow.f64 k 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 k -1/2) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) -1) (neg.f64 (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))) (neg.f64 (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (pow.f64 k -1/2)) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) 1) (sqrt.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (cbrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)) 1) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 k 4))) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 k 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (PI.f64)) k)) (pow.f64 (sqrt.f64 (*.f64 2 n)) k))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)) (sqrt.f64 k)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) 2) k))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) 3) (pow.f64 (pow.f64 k -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) 3) (pow.f64 k 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 n)) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 1/4) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/2) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 (PI.f64) (*.f64 2 n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))))))

simplify74.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
868×associate-*r/
866×associate-/l/
650×associate-*l/
596×*-commutative
534×unswap-sqr
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02414131
15483993
221823847
Stop Event
1×node limit
Counts
95 → 130
Calls
Call 1
Inputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))) 1)
(/.f64 1 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))
(/.f64 1 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)) (sqrt.f64 k)))
(/.f64 1 (/.f64 (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(/.f64 1 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))))
(/.f64 1 (/.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (/.f64 (sqrt.f64 k) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k) -1/2)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (sqrt.f64 k))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))) 2) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))))
(/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (/.f64 (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))) (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2) (sqrt.f64 (*.f64 2 n))))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 1/4) (/.f64 (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 1/4)))
(/.f64 -1 (*.f64 (neg.f64 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))
(/.f64 -1 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)) (neg.f64 (sqrt.f64 k))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (*.f64 (sqrt.f64 k) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (*.f64 (neg.f64 (sqrt.f64 k)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (neg.f64 (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) 1) (*.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)) (sqrt.f64 k)))
(/.f64 (*.f64 -1 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))) (*.f64 (neg.f64 (sqrt.f64 k)) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) -1) (*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k) (neg.f64 (sqrt.f64 k))))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) -1) (*.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)) (neg.f64 (sqrt.f64 k))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))) (neg.f64 (sqrt.f64 k)))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 k 1/4)) (pow.f64 k 1/4))
(/.f64 (*.f64 (pow.f64 k -1/2) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) -1) (neg.f64 (sqrt.f64 k)))
(/.f64 (*.f64 -1 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))) (neg.f64 (sqrt.f64 k)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (pow.f64 k -1/2)) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) 1) (sqrt.f64 k))
(/.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (cbrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)) 1) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 k 4))) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 k 4)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (PI.f64)) k)) (pow.f64 (sqrt.f64 (*.f64 2 n)) k))
(pow.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))) 2)
(pow.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))) -1)
(pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)) (sqrt.f64 k)) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) -1)
(pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))) -1)
(pow.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))) -1)
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) 2) k))
(log.f64 (exp.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) 3) (pow.f64 (pow.f64 k -1/2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) 3) (pow.f64 k 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))) 2))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(*.f64 (sqrt.f64 (*.f64 2 n)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 2 n)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 1/4) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 n))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) 1/2))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/2) (sqrt.f64 n))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 3/2)) 1/3))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 (PI.f64) (*.f64 2 n)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))) 1)
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))
(/.f64 1 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))
(/.f64 1 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)) (sqrt.f64 k)))
(/.f64 1 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)) (sqrt.f64 k)))
(/.f64 1 (/.f64 (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))))
(/.f64 1 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (/.f64 1 (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 1 (/.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))))
(*.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (/.f64 (sqrt.f64 k) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k) -1/2)))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k) -1/2))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (sqrt.f64 k))
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (/.f64 1 (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))) 2) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))))
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (/.f64 1 (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (/.f64 (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))) (sqrt.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))) (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))))
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (/.f64 1 (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2) (sqrt.f64 (*.f64 2 n))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)))) (sqrt.f64 (*.f64 2 n)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))) (sqrt.f64 (*.f64 2 n))))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 2 n))) (sqrt.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 1/4) (/.f64 (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 1/4)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))))
(/.f64 -1 (*.f64 (neg.f64 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))
(/.f64 1 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)) (sqrt.f64 k)))
(/.f64 -1 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)) (neg.f64 (sqrt.f64 k))))
(/.f64 1 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)) (sqrt.f64 k)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (*.f64 (sqrt.f64 k) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k))))
(*.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (*.f64 (neg.f64 (sqrt.f64 k)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(*.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (neg.f64 (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2)))
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k))
(*.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) 1) (*.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)) (sqrt.f64 k)))
(*.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (*.f64 -1 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))) (*.f64 (neg.f64 (sqrt.f64 k)) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k))))
(*.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) -1) (*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k) (neg.f64 (sqrt.f64 k))))
(*.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) -1) (*.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)) (neg.f64 (sqrt.f64 k))))
(*.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))) (neg.f64 (sqrt.f64 k)))
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (/.f64 1 (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(*.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 k 1/4)) (pow.f64 k 1/4))
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (/.f64 1 (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (*.f64 (pow.f64 k -1/2) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (pow.f64 k -1/2) (/.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))))
(/.f64 (pow.f64 k -1/2) (*.f64 1 (/.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))))
(*.f64 (pow.f64 k -1/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) -1) (neg.f64 (sqrt.f64 k)))
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (/.f64 1 (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (*.f64 -1 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))) (neg.f64 (sqrt.f64 k)))
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (/.f64 1 (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (pow.f64 k -1/2)) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (pow.f64 k -1/2) (/.f64 (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))))
(/.f64 (pow.f64 k -1/2) (*.f64 1 (/.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))))
(*.f64 (pow.f64 k -1/2) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) 1) (sqrt.f64 k))
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (/.f64 1 (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (cbrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 k)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (*.f64 (cbrt.f64 k) (cbrt.f64 (sqrt.f64 k))))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (*.f64 (cbrt.f64 k) (cbrt.f64 (sqrt.f64 k))))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)) 1) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k))
(*.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)) (*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)))) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 (sqrt.f64 k) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 k 4))) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 k 4)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 k 4)) (sqrt.f64 k))) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 k 4)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (*.f64 2 (/.f64 k 4))) (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 k 2))))
(/.f64 (/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)) (pow.f64 (sqrt.f64 (PI.f64)) k)) (pow.f64 (sqrt.f64 (*.f64 2 n)) k))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 (pow.f64 (sqrt.f64 (*.f64 2 n)) k) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 (PI.f64)) k))))
(pow.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))) 1)
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))) 3)
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))
(pow.f64 (pow.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))) 3) 1/3)
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))) 2)
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))
(pow.f64 (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))) -1)
(/.f64 1 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)) (sqrt.f64 k)))
(pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)) (sqrt.f64 k)) -1)
(/.f64 1 (*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)) (sqrt.f64 k)))
(pow.f64 (/.f64 (pow.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)) 1/2) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) -1)
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)))) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 (*.f64 k (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))))
(pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))) -1)
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) (/.f64 1 (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(pow.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))) -1)
(*.f64 (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 (sqrt.f64 k) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) k)))
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) 2) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (*.f64 2 (-.f64 1/2 (*.f64 k 1/2)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (*.f64 2 (fma.f64 k -1/2 1/2))) k))
(log.f64 (exp.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))) 3))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) 3) (pow.f64 (pow.f64 k -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))) 3) (pow.f64 k 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k -1/2 1/2)) 3) (pow.f64 k 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))
(exp.f64 (log.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))) 1))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))) 1) 1))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))) 3))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))) 1/3))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2))))) 2))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (fma.f64 k 1/2 -1/2)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))) 1)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(*.f64 1 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) 1)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(*.f64 (sqrt.f64 (*.f64 2 n)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 2 n)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 2 n)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 1/4) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 1/4))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (sqrt.f64 n))
(*.f64 (sqrt.f64 n) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) 1/2) (sqrt.f64 n))
(*.f64 (sqrt.f64 n) (sqrt.f64 (*.f64 (PI.f64) 2)))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 1/2)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) 1)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) 3)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 3/2) 1/3)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 1/4) 2)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(fabs.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 3/2))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) 1/2))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) 1))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) 1) 1/2))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) 1/2) 1))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))) 1) 1))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))) 3))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 3/2)) 1/3))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 (PI.f64) (*.f64 2 n)))) 2))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))

localize18.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.8%
(/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)
✓99.8%
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))
✓99.6%
(*.f64 (PI.f64) (+.f64 n n))
✓83.4%
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
Compiler

Compiled 49 to 20 computations (59.2% saved)

series11.0ms (0.1%)

Counts
4 → 72
Calls

21 calls:

TimeVariablePointExpression
1.0ms
k
@0
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
1.0ms
k
@-inf
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
1.0ms
n
@0
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
1.0ms
n
@-inf
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
1.0ms
n
@inf
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))

rewrite99.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1484×log-prod
1192×prod-diff
516×expm1-udef
514×log1p-udef
446×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
014112
1305112
24273112
Stop Event
1×node limit
Counts
4 → 152
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(*.f64 (PI.f64) (+.f64 n n))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))
(/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 (/.f64 1 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 (/.f64 1 k) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (sqrt.f64 (neg.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (neg.f64 (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (+.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) n) 1) (*.f64 (*.f64 (PI.f64) n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) n) (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) n) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) n) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) n) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) n) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (+.f64 n n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) n) 3) (pow.f64 (*.f64 (PI.f64) n) 3)) (fma.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n) (-.f64 (*.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n)) (*.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n)) (*.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n))) (-.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 2 (pow.f64 n 3))) (fma.f64 n n 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 0) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 2 (pow.f64 n 3)) (PI.f64)) (fma.f64 n n 0))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 0 (PI.f64)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 n n) (cbrt.f64 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 n n) (sqrt.f64 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (+.f64 n n) (pow.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 2) n) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (+.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (+.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (+.f64 n n) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (+.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (+.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (PI.f64) n (*.f64 (PI.f64) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 n (PI.f64) (*.f64 (PI.f64) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) n) (*.f64 (PI.f64) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (PI.f64)) (*.f64 (PI.f64) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) n) (*.f64 (PI.f64) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (PI.f64)) (*.f64 (PI.f64) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (PI.f64) n) 1 (*.f64 (*.f64 (PI.f64) n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) n)) (cbrt.f64 (*.f64 (PI.f64) n))) (cbrt.f64 (*.f64 (PI.f64) n)) (*.f64 (PI.f64) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 (*.f64 (PI.f64) n)) (*.f64 (PI.f64) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 n)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 n)) (*.f64 (PI.f64) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 n) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 n) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n) (*.f64 (PI.f64) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (PI.f64) (sqrt.f64 n)) (sqrt.f64 n) (*.f64 (PI.f64) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 n (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) n))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 n (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) n))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (+.f64 n n)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (neg.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 1 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) (-.f64 1 k)) (pow.f64 (+.f64 n n) (-.f64 1 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 n n) (-.f64 1 k)) (pow.f64 (PI.f64) (-.f64 1 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (-.f64 1 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 n n) (cbrt.f64 (PI.f64))) 2) (-.f64 1 k)) (pow.f64 (*.f64 (+.f64 n n) (cbrt.f64 (PI.f64))) (-.f64 1 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (+.f64 n n) (sqrt.f64 (PI.f64))) (-.f64 1 k)) (pow.f64 (*.f64 (+.f64 n n) (sqrt.f64 (PI.f64))) (-.f64 1 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k) (+.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 n n) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (+.f64 n n)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k) (*.f64 (PI.f64) (+.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (+.f64 n n) (cbrt.f64 (PI.f64))) 2) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k) (*.f64 (+.f64 n n) (cbrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 n n) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k) (*.f64 (+.f64 n n) (sqrt.f64 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (PI.f64) (+.f64 n n))) (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) (/.f64 1 k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) (*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) (-.f64 1 k)) (*.f64 (pow.f64 (+.f64 n n) (-.f64 1 k)) (/.f64 1 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 (neg.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4)) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 k) 2)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) (cbrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k)))) 1) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k)))) (pow.f64 (cbrt.f64 k) 2)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k)))) (sqrt.f64 k)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) 1) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 (cbrt.f64 k) 2)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1 k)) 1) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1 k)) k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1 k)) (pow.f64 (cbrt.f64 k) 2)) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1 k)) (cbrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1 k)) (sqrt.f64 k)) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1 k)) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) (neg.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 3) (pow.f64 k 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))))

simplify101.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
626×associate-*r*
520×associate-*l*
302×*-commutative
258×associate-/l*
238×fma-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042611264
199311264
2560111264
Stop Event
1×unsound
Counts
224 → 178
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(*.f64 2 (*.f64 n (PI.f64)))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))
(*.f64 2 (*.f64 n (PI.f64)))
(+.f64 (*.f64 -2 (*.f64 k (*.f64 n (*.f64 (PI.f64) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))) (*.f64 2 (*.f64 n (PI.f64))))
(+.f64 (*.f64 -2 (*.f64 k (*.f64 n (*.f64 (PI.f64) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))) (+.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 (pow.f64 k 2) (*.f64 n (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (PI.f64))))))
(+.f64 (*.f64 -2 (*.f64 k (*.f64 n (*.f64 (PI.f64) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 k 3) (*.f64 n (*.f64 (PI.f64) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))))) (+.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 (pow.f64 k 2) (*.f64 n (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (PI.f64)))))))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) k)
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) k)
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) k)
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) k)
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k)
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k)
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k)
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k)
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k)
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k)
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k)
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k)
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(+.f64 (*.f64 2 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 -2 (*.f64 n (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (PI.f64)))))
(+.f64 (*.f64 2 (/.f64 (*.f64 n (PI.f64)) k)) (+.f64 (*.f64 k (*.f64 n (*.f64 (PI.f64) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)))) (*.f64 -2 (*.f64 n (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (PI.f64))))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 k 2) (*.f64 n (*.f64 (PI.f64) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))))) (+.f64 (*.f64 2 (/.f64 (*.f64 n (PI.f64)) k)) (+.f64 (*.f64 k (*.f64 n (*.f64 (PI.f64) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)))) (*.f64 -2 (*.f64 n (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (PI.f64)))))))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k)
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k)
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k)
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k)
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k))) k)
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k))) k)
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k))) k)
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k))) k)
(+.f64 0 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 (/.f64 1 k) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 (sqrt.f64 k)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (sqrt.f64 (neg.f64 k)))
(/.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (neg.f64 (sqrt.f64 k)))
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/2)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) 2)
(fabs.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(+.f64 0 (*.f64 (PI.f64) (+.f64 n n)))
(+.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n))
(+.f64 (*.f64 (*.f64 (PI.f64) n) 1) (*.f64 (*.f64 (PI.f64) n) 1))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) n) (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) n) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) n) (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) n) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) n) (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (+.f64 n n)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) n) 3) (pow.f64 (*.f64 (PI.f64) n) 3)) (fma.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n) (-.f64 (*.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n)) (*.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n)))))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n)) (*.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n))) (-.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n)))
(/.f64 (*.f64 (PI.f64) (*.f64 2 (pow.f64 n 3))) (fma.f64 n n 0))
(/.f64 (*.f64 (PI.f64) 0) 0)
(/.f64 (*.f64 (*.f64 2 (pow.f64 n 3)) (PI.f64)) (fma.f64 n n 0))
(/.f64 (*.f64 0 (PI.f64)) 0)
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1)
(pow.f64 (*.f64 (+.f64 n n) (cbrt.f64 (PI.f64))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 3) 1/3)
(pow.f64 (*.f64 (+.f64 n n) (sqrt.f64 (PI.f64))) 2)
(sqrt.f64 (*.f64 (+.f64 n n) (pow.f64 (PI.f64) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) n) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 3))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (+.f64 n n)))
(cbrt.f64 (*.f64 (+.f64 n n) (pow.f64 (PI.f64) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (+.f64 n n))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (+.f64 n n))))
(fma.f64 (PI.f64) n (*.f64 (PI.f64) n))
(fma.f64 n (PI.f64) (*.f64 (PI.f64) n))
(fma.f64 1 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) n) (*.f64 (PI.f64) n))
(fma.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (PI.f64)) (*.f64 (PI.f64) n))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) n) (*.f64 (PI.f64) n))
(fma.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (PI.f64)) (*.f64 (PI.f64) n))
(fma.f64 (*.f64 (PI.f64) n) 1 (*.f64 (*.f64 (PI.f64) n) 1))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) n)) (cbrt.f64 (*.f64 (PI.f64) n))) (cbrt.f64 (*.f64 (PI.f64) n)) (*.f64 (PI.f64) n))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 (*.f64 (PI.f64) n)) (*.f64 (PI.f64) n))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 n)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 n)) (*.f64 (PI.f64) n))
(fma.f64 (*.f64 (sqrt.f64 n) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 n) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) n))
(fma.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n) (*.f64 (PI.f64) n))
(fma.f64 (*.f64 (PI.f64) (sqrt.f64 n)) (sqrt.f64 n) (*.f64 (PI.f64) n))
(fma.f64 (*.f64 n (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) n))
(fma.f64 (*.f64 n (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) n))
(+.f64 0 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) 1)
(*.f64 (*.f64 (PI.f64) (+.f64 n n)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (neg.f64 k)))
(*.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 1 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k)))
(*.f64 1 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 1)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(*.f64 (pow.f64 (PI.f64) (-.f64 1 k)) (pow.f64 (+.f64 n n) (-.f64 1 k)))
(*.f64 (pow.f64 (+.f64 n n) (-.f64 1 k)) (pow.f64 (PI.f64) (-.f64 1 k)))
(*.f64 (pow.f64 1 (-.f64 1 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 n n) (cbrt.f64 (PI.f64))) 2) (-.f64 1 k)) (pow.f64 (*.f64 (+.f64 n n) (cbrt.f64 (PI.f64))) (-.f64 1 k)))
(*.f64 (pow.f64 (*.f64 (+.f64 n n) (sqrt.f64 (PI.f64))) (-.f64 1 k)) (pow.f64 (*.f64 (+.f64 n n) (sqrt.f64 (PI.f64))) (-.f64 1 k)))
(/.f64 (PI.f64) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k) (+.f64 n n)))
(/.f64 (+.f64 n n) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k) (PI.f64)))
(/.f64 (*.f64 (PI.f64) (+.f64 n n)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k))
(/.f64 1 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k) (*.f64 (PI.f64) (+.f64 n n))))
(/.f64 (pow.f64 (*.f64 (+.f64 n n) (cbrt.f64 (PI.f64))) 2) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k) (*.f64 (+.f64 n n) (cbrt.f64 (PI.f64)))))
(/.f64 (*.f64 (+.f64 n n) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k) (*.f64 (+.f64 n n) (sqrt.f64 (PI.f64)))))
(/.f64 (neg.f64 (*.f64 (PI.f64) (+.f64 n n))) (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k))))
(log.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(exp.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(exp.f64 (*.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(+.f64 0 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1)
(*.f64 1 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) (/.f64 1 k))
(*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1)
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 k)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) (*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 k)))
(*.f64 (pow.f64 (PI.f64) (-.f64 1 k)) (*.f64 (pow.f64 (+.f64 n n) (-.f64 1 k)) (/.f64 1 k)))
(*.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 (neg.f64 k)))
(*.f64 (/.f64 1 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4)) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 k) 2)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) (cbrt.f64 k)))
(*.f64 (/.f64 1 (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) (sqrt.f64 k)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k)))) 1) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) k))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k)))) (pow.f64 (cbrt.f64 k) 2)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k)))) (sqrt.f64 k)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) 1) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) k))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 (cbrt.f64 k) 2)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 k)))
(*.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1 k)) 1) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1 k)) k))
(*.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1 k)) (pow.f64 (cbrt.f64 k) 2)) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1 k)) (cbrt.f64 k)))
(*.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1 k)) (sqrt.f64 k)) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1 k)) (sqrt.f64 k)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 3) 1/3)
(pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) -1)
(neg.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) (neg.f64 k)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 3) (pow.f64 k 3)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
Outputs
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 2 (*.f64 n (PI.f64)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 2 (*.f64 n (PI.f64)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 2 (*.f64 n (PI.f64)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 2 (*.f64 n (PI.f64)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 2 (*.f64 n (PI.f64)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 2 (*.f64 n (PI.f64)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 2 (*.f64 n (PI.f64)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 2 (*.f64 n (PI.f64)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 2 (*.f64 n (PI.f64)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 2 (*.f64 n (PI.f64)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 2 (*.f64 n (PI.f64)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 2 (*.f64 n (PI.f64)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 2 (*.f64 n (PI.f64)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(+.f64 (*.f64 -2 (*.f64 k (*.f64 n (*.f64 (PI.f64) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))) (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(+.f64 (*.f64 -2 (*.f64 k (*.f64 n (*.f64 (PI.f64) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))) (+.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 (pow.f64 k 2) (*.f64 n (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (PI.f64))))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(+.f64 (*.f64 -2 (*.f64 k (*.f64 n (*.f64 (PI.f64) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 k 3) (*.f64 n (*.f64 (PI.f64) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))))) (+.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 (pow.f64 k 2) (*.f64 n (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (PI.f64)))))))
(fma.f64 -2 (*.f64 k (*.f64 (*.f64 n (PI.f64)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (fma.f64 -1/3 (*.f64 (pow.f64 k 3) (*.f64 (*.f64 n (PI.f64)) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))) (fma.f64 2 (*.f64 n (PI.f64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 n (PI.f64)) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))))))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) k)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) k)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) k)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) k)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(+.f64 (*.f64 2 (/.f64 (*.f64 n (PI.f64)) k)) (*.f64 -2 (*.f64 n (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (PI.f64)))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(+.f64 (*.f64 2 (/.f64 (*.f64 n (PI.f64)) k)) (+.f64 (*.f64 k (*.f64 n (*.f64 (PI.f64) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)))) (*.f64 -2 (*.f64 n (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (PI.f64))))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 k 2) (*.f64 n (*.f64 (PI.f64) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))))) (+.f64 (*.f64 2 (/.f64 (*.f64 n (PI.f64)) k)) (+.f64 (*.f64 k (*.f64 n (*.f64 (PI.f64) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)))) (*.f64 -2 (*.f64 n (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (PI.f64)))))))
(fma.f64 -2 (*.f64 k (*.f64 (*.f64 n (PI.f64)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (fma.f64 -1/3 (*.f64 (pow.f64 k 3) (*.f64 (*.f64 n (PI.f64)) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))) (fma.f64 2 (*.f64 n (PI.f64)) (*.f64 (*.f64 k k) (*.f64 (*.f64 n (PI.f64)) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))))))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k))) k)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k))) k)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k))) k)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k))) k)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(+.f64 0 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) 1)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 1 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 (/.f64 1 k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 (/.f64 1 k) 1/2))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 (sqrt.f64 k)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (/.f64 1 (sqrt.f64 k)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/2))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (/.f64 1 (sqrt.f64 k)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (/.f64 1 (sqrt.f64 k)))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (sqrt.f64 (neg.f64 k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (neg.f64 (sqrt.f64 k)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (/.f64 1 (sqrt.f64 k)))
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/2)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 3/2) 1/3)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) 2)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(fabs.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 3/2))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/2))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(+.f64 0 (*.f64 (PI.f64) (+.f64 n n)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(+.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(+.f64 (*.f64 (*.f64 (PI.f64) n) 1) (*.f64 (*.f64 (PI.f64) n) 1))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) n) (PI.f64))) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) n) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 2) n) (PI.f64)))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) n) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 2) n) (PI.f64)))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (+.f64 n n)))) 1)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (+.f64 (pow.f64 (*.f64 (PI.f64) n) 3) (pow.f64 (*.f64 (PI.f64) n) 3)) (fma.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n) (-.f64 (*.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n)) (*.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n)))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (-.f64 (*.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n)) (*.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n))) (-.f64 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (*.f64 (PI.f64) (*.f64 2 (pow.f64 n 3))) (fma.f64 n n 0))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (*.f64 (PI.f64) 0) 0)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (*.f64 (*.f64 2 (pow.f64 n 3)) (PI.f64)) (fma.f64 n n 0))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (*.f64 0 (PI.f64)) 0)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (*.f64 (+.f64 n n) (cbrt.f64 (PI.f64))) 3)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 3) 1/3)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (*.f64 (+.f64 n n) (sqrt.f64 (PI.f64))) 2)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (*.f64 (+.f64 n n) (pow.f64 (PI.f64) 2)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(log.f64 (pow.f64 (pow.f64 (exp.f64 2) n) (PI.f64)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 3))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (+.f64 n n)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (*.f64 (+.f64 n n) (pow.f64 (PI.f64) 3)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (+.f64 n n))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 1))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (+.f64 n n))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(fma.f64 (PI.f64) n (*.f64 (PI.f64) n))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(fma.f64 n (PI.f64) (*.f64 (PI.f64) n))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(fma.f64 1 (*.f64 (PI.f64) n) (*.f64 (PI.f64) n))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) n) (*.f64 (PI.f64) n))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(fma.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (PI.f64)) (*.f64 (PI.f64) n))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) n) (*.f64 (PI.f64) n))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(fma.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (PI.f64)) (*.f64 (PI.f64) n))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(fma.f64 (*.f64 (PI.f64) n) 1 (*.f64 (*.f64 (PI.f64) n) 1))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) n)) (cbrt.f64 (*.f64 (PI.f64) n))) (cbrt.f64 (*.f64 (PI.f64) n)) (*.f64 (PI.f64) n))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (sqrt.f64 (*.f64 (PI.f64) n)) (*.f64 (PI.f64) n))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(fma.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 n)) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 n)) (*.f64 (PI.f64) n))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(fma.f64 (*.f64 (sqrt.f64 n) (sqrt.f64 (PI.f64))) (*.f64 (sqrt.f64 n) (sqrt.f64 (PI.f64))) (*.f64 (PI.f64) n))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(fma.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n) (*.f64 (PI.f64) n))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(fma.f64 (*.f64 (PI.f64) (sqrt.f64 n)) (sqrt.f64 n) (*.f64 (PI.f64) n))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(fma.f64 (*.f64 n (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (*.f64 (PI.f64) n))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(fma.f64 (*.f64 n (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (PI.f64) n))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(+.f64 0 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) 1)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (*.f64 (PI.f64) (+.f64 n n)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (neg.f64 k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (*.f64 (PI.f64) (+.f64 n n)) (/.f64 1 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 1 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 1)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k)))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (pow.f64 (PI.f64) (-.f64 1 k)) (pow.f64 (+.f64 n n) (-.f64 1 k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (pow.f64 (+.f64 n n) (-.f64 1 k)) (pow.f64 (PI.f64) (-.f64 1 k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (pow.f64 1 (-.f64 1 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 n n) (cbrt.f64 (PI.f64))) 2) (-.f64 1 k)) (pow.f64 (*.f64 (+.f64 n n) (cbrt.f64 (PI.f64))) (-.f64 1 k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (pow.f64 (*.f64 (+.f64 n n) (sqrt.f64 (PI.f64))) (-.f64 1 k)) (pow.f64 (*.f64 (+.f64 n n) (sqrt.f64 (PI.f64))) (-.f64 1 k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (PI.f64) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k) (+.f64 n n)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (+.f64 n n) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k) (PI.f64)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (*.f64 (PI.f64) (+.f64 n n)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 1 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k) (*.f64 (PI.f64) (+.f64 n n))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (pow.f64 (*.f64 (+.f64 n n) (cbrt.f64 (PI.f64))) 2) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k) (*.f64 (+.f64 n n) (cbrt.f64 (PI.f64)))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (*.f64 (+.f64 n n) (sqrt.f64 (PI.f64))) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k) (*.f64 (+.f64 n n) (sqrt.f64 (PI.f64)))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(/.f64 (neg.f64 (*.f64 (PI.f64) (+.f64 n n))) (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(log.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 3))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (*.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))) 1))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(+.f64 0 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 1 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) (/.f64 1 k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) (*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (pow.f64 (PI.f64) (-.f64 1 k)) (*.f64 (pow.f64 (+.f64 n n) (-.f64 1 k)) (/.f64 1 k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 (neg.f64 k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (/.f64 1 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4)) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 k) 2)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) (cbrt.f64 k)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 k) 2)) (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) (cbrt.f64 k)))
(*.f64 (/.f64 1 (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) (sqrt.f64 k)))
(*.f64 (/.f64 1 (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) (sqrt.f64 k)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k)))) 1) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k)))) (pow.f64 (cbrt.f64 k) 2)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 k) 2)) (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) (cbrt.f64 k)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (-.f64 1 k)))) (sqrt.f64 k)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k)))
(*.f64 (/.f64 1 (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) (sqrt.f64 k)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) 1) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 (cbrt.f64 k) 2)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 k)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 k) 2)) (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) (cbrt.f64 k)))
(*.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1 k)) 1) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(*.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1 k)) (pow.f64 (cbrt.f64 k) 2)) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1 k)) (cbrt.f64 k)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 k) 2)) (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) (cbrt.f64 k)))
(*.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1 k)) (sqrt.f64 k)) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1 k)) (sqrt.f64 k)))
(*.f64 (/.f64 1 (sqrt.f64 k)) (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) (sqrt.f64 k)))
(*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 2) 1/2)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 3) 1/3)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) -1)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(neg.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) (neg.f64 k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 2))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 3))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 3) (pow.f64 k 3)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))

localize15.0ms (0.1%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.6%
(*.f64 n (PI.f64))
99.6%
(/.f64 1 (sqrt.f64 k))
✓99.4%
(*.f64 (/.f64 1 (sqrt.f64 k)) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))))
✓99.3%
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))))
Compiler

Compiled 41 to 21 computations (48.8% saved)

series5.0ms (0%)

Counts
3 → 0
Calls

12 calls:

TimeVariablePointExpression
1.0ms
k
@-inf
(*.f64 (/.f64 1 (sqrt.f64 k)) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))))
1.0ms
n
@0
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))))
1.0ms
n
@-inf
(*.f64 (/.f64 1 (sqrt.f64 k)) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))))
1.0ms
n
@-inf
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))))
0.0ms
n
@inf
(*.f64 (/.f64 1 (sqrt.f64 k)) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))))

rewrite90.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1476×log-prod
1034×pow-prod-down
746×pow-prod-up
710×pow-exp
518×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01657
131853
2367753
Stop Event
1×node limit
Counts
3 → 84
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))))
(*.f64 (/.f64 1 (sqrt.f64 k)) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))))
(*.f64 n (PI.f64))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 n (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 n (PI.f64))) (/.f64 (sqrt.f64 k) (sqrt.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (sqrt.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/4) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))) (neg.f64 (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (pow.f64 k 1/4)) (pow.f64 k 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) -1) (neg.f64 (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))) (neg.f64 (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) 1) (sqrt.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (cbrt.f64 k)) (pow.f64 k 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 3/2) (pow.f64 k 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 n (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (PI.f64))) (cbrt.f64 (pow.f64 (exp.f64 n) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 n (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 n (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 n (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (PI.f64)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (PI.f64)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (PI.f64)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (PI.f64)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 n (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 n) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 n (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 n (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 n (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 n (PI.f64))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 n (PI.f64))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 n (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 n (PI.f64))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 n (PI.f64)))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 n (PI.f64)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 n (PI.f64)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 n (PI.f64)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 n (PI.f64))))))))

simplify70.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
908×log-prod
786×fma-def
736×unswap-sqr
722×hypot-def
674×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02094294969186
14301860
214171756
369911756
Stop Event
1×node limit
Counts
84 → 107
Calls
Call 1
Inputs
(+.f64 0 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) 1)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/4) 2)
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/2)
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/4)) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(+.f64 0 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))) 1)
(/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 n (PI.f64)))))
(/.f64 (sqrt.f64 (*.f64 n (PI.f64))) (/.f64 (sqrt.f64 k) (sqrt.f64 2)))
(/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (sqrt.f64 k))
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(/.f64 (cbrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/6)))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/4) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/4)))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))) (neg.f64 (sqrt.f64 k)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (pow.f64 k 1/4)) (pow.f64 k 1/4))
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) -1) (neg.f64 (sqrt.f64 k)))
(/.f64 (*.f64 -1 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))) (neg.f64 (sqrt.f64 k)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) 1) (sqrt.f64 k))
(/.f64 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (cbrt.f64 k)) (pow.f64 k 1/6))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))) 3)
(pow.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))) 2)
(pow.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))) -1)
(sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)) 3))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 3/2) (pow.f64 k 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))
(+.f64 0 (*.f64 n (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (PI.f64))) (cbrt.f64 (pow.f64 (exp.f64 n) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (PI.f64)))) 1)
(pow.f64 (*.f64 n (PI.f64)) 1)
(pow.f64 (sqrt.f64 (*.f64 n (PI.f64))) 2)
(pow.f64 (cbrt.f64 (*.f64 n (PI.f64))) 3)
(pow.f64 (pow.f64 (*.f64 n (PI.f64)) 1/6) 6)
(pow.f64 (pow.f64 (*.f64 n (PI.f64)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 n (PI.f64)) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 n (PI.f64)) 3/2) 2/3)
(pow.f64 (pow.f64 (*.f64 n (PI.f64)) 1/4) 4)
(sqrt.f64 (pow.f64 (*.f64 n (PI.f64)) 2))
(log.f64 (pow.f64 (exp.f64 n) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 n (PI.f64)))))
(cbrt.f64 (pow.f64 (*.f64 n (PI.f64)) 3))
(expm1.f64 (log1p.f64 (*.f64 n (PI.f64))))
(exp.f64 (log.f64 (*.f64 n (PI.f64))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (PI.f64))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 n (PI.f64))) 1) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 n (PI.f64)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 n (PI.f64))) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 n (PI.f64)))) 1) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 n (PI.f64)))) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 n (PI.f64)))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 n (PI.f64)))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 n (PI.f64))))
Outputs
(+.f64 0 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))) 1)
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(pow.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) 1)
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(pow.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/6) 3)
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(pow.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 3/2) 1/3)
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(pow.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/4) 2)
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/2)
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 3/2))
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))) 1))
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))) 1) 1))
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/6)) 3))
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 3/2)) 1/3))
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/4)) 2))
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 1/2))
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
(+.f64 0 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))
(sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))) 1)
(sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(/.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 n (PI.f64)))))
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 k)) (sqrt.f64 (*.f64 n (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (/.f64 (sqrt.f64 2) (sqrt.f64 k)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 n (PI.f64))) (/.f64 (sqrt.f64 k) (sqrt.f64 2)))
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 k)) (sqrt.f64 (*.f64 n (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (/.f64 (sqrt.f64 2) (sqrt.f64 k)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
(/.f64 (cbrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/6)))
(/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/4) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 1/4)))
(/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))) (neg.f64 (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
(/.f64 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (pow.f64 k 1/4)) (pow.f64 k 1/4))
(/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
(/.f64 (*.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) -1) (neg.f64 (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
(/.f64 (*.f64 -1 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))) (neg.f64 (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
(/.f64 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) 1) (sqrt.f64 k))
(/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
(/.f64 (/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (cbrt.f64 k)) (pow.f64 k 1/6))
(/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (*.f64 (pow.f64 k 1/6) (cbrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 (cbrt.f64 k) (pow.f64 k 1/6)))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)) 1)
(sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))) 3)
(sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(pow.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k) 1/2)
(sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)) 3) 1/3)
(sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))) 2)
(sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(pow.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))) -1)
(/.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
(sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))
(sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))))
(sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)) 3))
(sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) 3/2) (pow.f64 k 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) 3/2) (pow.f64 k 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))
(sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))
(sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))) 1))
(sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))) 1) 1))
(sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))) 3))
(sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))) 1/3))
(sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k)))) 2))
(sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))))
(sqrt.f64 (/.f64 (*.f64 2 (*.f64 n (PI.f64))) k))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(+.f64 0 (*.f64 n (PI.f64)))
(*.f64 n (PI.f64))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (PI.f64))) (cbrt.f64 (pow.f64 (exp.f64 n) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (PI.f64)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (PI.f64))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (PI.f64)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (PI.f64)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (PI.f64)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (PI.f64)))))
(*.f64 n (PI.f64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (PI.f64)))) 1)
(*.f64 n (PI.f64))
(pow.f64 (*.f64 n (PI.f64)) 1)
(*.f64 n (PI.f64))
(pow.f64 (sqrt.f64 (*.f64 n (PI.f64))) 2)
(*.f64 n (PI.f64))
(pow.f64 (cbrt.f64 (*.f64 n (PI.f64))) 3)
(*.f64 n (PI.f64))
(pow.f64 (pow.f64 (*.f64 n (PI.f64)) 1/6) 6)
(pow.f64 (pow.f64 (*.f64 n (PI.f64)) 2) 1/2)
(*.f64 n (PI.f64))
(pow.f64 (pow.f64 (*.f64 n (PI.f64)) 3) 1/3)
(*.f64 n (PI.f64))
(pow.f64 (pow.f64 (*.f64 n (PI.f64)) 3/2) 2/3)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 n (PI.f64)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 n (PI.f64)) 3/2)))
(pow.f64 (pow.f64 (*.f64 n (PI.f64)) 1/4) 4)
(*.f64 n (PI.f64))
(sqrt.f64 (pow.f64 (*.f64 n (PI.f64)) 2))
(*.f64 n (PI.f64))
(log.f64 (pow.f64 (exp.f64 n) (PI.f64)))
(*.f64 n (PI.f64))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 n (PI.f64)))))
(*.f64 n (PI.f64))
(cbrt.f64 (pow.f64 (*.f64 n (PI.f64)) 3))
(*.f64 n (PI.f64))
(expm1.f64 (log1p.f64 (*.f64 n (PI.f64))))
(*.f64 n (PI.f64))
(exp.f64 (log.f64 (*.f64 n (PI.f64))))
(*.f64 n (PI.f64))
(exp.f64 (*.f64 (log.f64 (*.f64 n (PI.f64))) 1))
(*.f64 n (PI.f64))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 n (PI.f64))) 1) 1))
(*.f64 n (PI.f64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 n (PI.f64)))) 2))
(*.f64 n (PI.f64))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 n (PI.f64))) 1/2) 2))
(*.f64 n (PI.f64))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 n (PI.f64)))) 1) 2))
(*.f64 n (PI.f64))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 n (PI.f64)))) 3))
(*.f64 n (PI.f64))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 n (PI.f64)))) 1/2))
(*.f64 n (PI.f64))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 n (PI.f64)))) 1/3))
(*.f64 n (PI.f64))
(log1p.f64 (expm1.f64 (*.f64 n (PI.f64))))
(*.f64 n (PI.f64))

localize34.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.6%
(*.f64 n (PI.f64))
✓99.6%
(*.f64 (/.f64 1 (sqrt.f64 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))))
99.6%
(/.f64 1 (sqrt.f64 k))
✓95.0%
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
Compiler

Compiled 84 to 52 computations (38.1% saved)

series5.0ms (0%)

Counts
2 → 32
Calls

12 calls:

TimeVariablePointExpression
1.0ms
k
@-inf
(*.f64 (/.f64 1 (sqrt.f64 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))))
0.0ms
k
@0
(*.f64 (/.f64 1 (sqrt.f64 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))))
0.0ms
n
@-inf
(*.f64 (/.f64 1 (sqrt.f64 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))))
0.0ms
n
@-inf
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
0.0ms
n
@inf
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))

rewrite90.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1920×log-prod
690×expm1-udef
688×log1p-udef
458×prod-diff
434×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02092
140576
2486376
Stop Event
1×node limit
Counts
2 → 58
Calls
Call 1
Inputs
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(*.f64 (/.f64 1 (sqrt.f64 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))) (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) 2) (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 1/2 (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (*.f64 2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 1/2 (-.f64 1 k)))) 2)) (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 1/2 (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 1/2 (-.f64 1 k))))) (sqrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 1/2 (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 1/2 (-.f64 1 k))) (log.f64 (*.f64 (PI.f64) (*.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1/2) (-.f64 1 k)) (log.f64 (*.f64 (PI.f64) (*.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1/2) (log.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (-.f64 1 k))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (*.f64 2 n))))) 2)) (cbrt.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (*.f64 2 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (*.f64 2 n)))))) (sqrt.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (*.f64 2 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 k) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) 2) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) (neg.f64 (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (pow.f64 k 1/4)) (pow.f64 k 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) -1) (neg.f64 (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) (neg.f64 (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 1) (sqrt.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (cbrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 2) k))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 3) (pow.f64 (pow.f64 k -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 3) (pow.f64 k 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))))))

simplify73.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1354×distribute-lft-in
1310×distribute-rgt-in
1298×fma-def
614×associate-*r/
518×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02194846
15134306
220734024
Stop Event
1×node limit
Counts
90 → 115
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))) (*.f64 1/8 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (sqrt.f64 (*.f64 n (PI.f64)))))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))) (+.f64 (*.f64 1/8 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 -1/48 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))) (sqrt.f64 (*.f64 n (PI.f64))))))))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(+.f64 0 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))) (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))) 1)
(*.f64 1 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 1)
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) 2) (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))
(pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 1)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)
(pow.f64 (E.f64) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 1/2 (-.f64 1 k))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) 3)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 3) 1/3)
(pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 1/2 (-.f64 1 k)))) 2)) (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 1/2 (-.f64 1 k)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 1/2 (-.f64 1 k))))) (sqrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 1/2 (-.f64 1 k)))))
(pow.f64 (exp.f64 (*.f64 1/2 (-.f64 1 k))) (log.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(pow.f64 (pow.f64 (exp.f64 1/2) (-.f64 1 k)) (log.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(pow.f64 (pow.f64 (exp.f64 1/2) (log.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (-.f64 1 k))
(pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (*.f64 2 n))))) 2)) (cbrt.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (*.f64 2 n))))))
(pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (*.f64 2 n)))))) (sqrt.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (*.f64 2 n))))))
(sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 2))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))
(+.f64 0 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)))) 1)
(/.f64 1 (/.f64 (sqrt.f64 k) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))
(/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) 2) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))))
(/.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))))
(/.f64 (neg.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) (neg.f64 (sqrt.f64 k)))
(/.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (pow.f64 k 1/4)) (pow.f64 k 1/4))
(/.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) -1) (neg.f64 (sqrt.f64 k)))
(/.f64 (*.f64 -1 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) (neg.f64 (sqrt.f64 k)))
(/.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 1) (sqrt.f64 k))
(/.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (cbrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))
(pow.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))) 2)
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 2) k))
(log.f64 (exp.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 3) (pow.f64 (pow.f64 k -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 3) (pow.f64 k 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))
Outputs
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64))))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (sqrt.f64 2)))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (fma.f64 -1/2 (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (*.f64 (sqrt.f64 2) k)) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))) (*.f64 1/8 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (sqrt.f64 (*.f64 n (PI.f64)))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64))))) (sqrt.f64 (*.f64 n (PI.f64))))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 1/8 (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 k k) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 2) (*.f64 k (*.f64 k (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))))) (sqrt.f64 2))))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (+.f64 (*.f64 -1/2 (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (*.f64 (sqrt.f64 2) k))) (fma.f64 1/8 (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 (sqrt.f64 2) (*.f64 k k))) (sqrt.f64 2))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))) (+.f64 (*.f64 1/8 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 -1/48 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))) (sqrt.f64 (*.f64 n (PI.f64))))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64))))) (sqrt.f64 (*.f64 n (PI.f64))))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))) (fma.f64 1/8 (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 (sqrt.f64 2) (*.f64 (*.f64 k k) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)))) (*.f64 -1/48 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (pow.f64 k 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)) (sqrt.f64 (*.f64 n (PI.f64)))))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (+.f64 (*.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (sqrt.f64 2))) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (+.f64 (*.f64 1/8 (*.f64 (sqrt.f64 2) (*.f64 k (*.f64 k (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))))) (*.f64 -1/48 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)))))))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (+.f64 (fma.f64 -1/2 (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (*.f64 (sqrt.f64 2) k)) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1/8 (*.f64 k (*.f64 k (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)))) (*.f64 -1/48 (*.f64 (pow.f64 k 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)))))))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(exp.f64 (*.f64 1/2 (*.f64 (+.f64 1 (*.f64 -1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 k))) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 k))) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 k))) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))
(exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 k))) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 k))) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 k))) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 k))) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 k))) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) (sqrt.f64 (/.f64 1 k)))
(+.f64 0 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))) (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))) (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))) 1)
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(*.f64 1 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 1)
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) 2))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) 2) (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 1)
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(pow.f64 (E.f64) (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 1/2 (-.f64 1 k))))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (*.f64 2 n)))))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) 3)
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 3) 1/3)
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(pow.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) 2)
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 1/2 (-.f64 1 k)))) 2)) (cbrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 1/2 (-.f64 1 k)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (*.f64 1/2 (-.f64 1 k)))) 2)) (cbrt.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (*.f64 1/2 (-.f64 1 k)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 1/2 (-.f64 1 k))))) (sqrt.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 2 n))) (*.f64 1/2 (-.f64 1 k)))))
(pow.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (*.f64 1/2 (-.f64 1 k))))) (sqrt.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (*.f64 1/2 (-.f64 1 k)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))))) (sqrt.f64 (log.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))))
(pow.f64 (exp.f64 (*.f64 1/2 (-.f64 1 k))) (log.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(pow.f64 (pow.f64 (exp.f64 1/2) (-.f64 1 k)) (log.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(pow.f64 (pow.f64 (exp.f64 1/2) (log.f64 (*.f64 (PI.f64) (*.f64 2 n)))) (-.f64 1 k))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (*.f64 2 n))))) 2)) (cbrt.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (*.f64 2 n))))))
(pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k))) 2)) (cbrt.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k))))
(pow.f64 (pow.f64 (exp.f64 1/2) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))) 2)) (cbrt.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))))
(pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (*.f64 2 n)))))) (sqrt.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (*.f64 2 n))))))
(pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))) (sqrt.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k))))
(pow.f64 (pow.f64 (exp.f64 1/2) (sqrt.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))) (sqrt.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))))
(sqrt.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 2))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(log.f64 (exp.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(cbrt.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 3))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))
(pow.f64 (exp.f64 1/2) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (-.f64 1 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 1/2 (-.f64 1 k)))
(sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(+.f64 0 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k)))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)))) 1)
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 1 (/.f64 (sqrt.f64 k) (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) 2) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (neg.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) (neg.f64 (sqrt.f64 k)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (pow.f64 k 1/4)) (pow.f64 k 1/4))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) -1) (neg.f64 (sqrt.f64 k)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (*.f64 -1 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2)) (neg.f64 (sqrt.f64 k)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 1) (sqrt.f64 k))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (cbrt.f64 k)) (cbrt.f64 (sqrt.f64 k)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (*.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 k)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (*.f64 (cbrt.f64 k) (cbrt.f64 (sqrt.f64 k))))
(pow.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)) 1)
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))) 3)
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)) 3) 1/3)
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))) 2)
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(sqrt.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 2) k))
(sqrt.f64 (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) 2) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(log.f64 (exp.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k)) 3))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 3) (pow.f64 (pow.f64 k -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) 3) (pow.f64 (pow.f64 k -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) 3/2) (pow.f64 (pow.f64 k -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) 3) (pow.f64 (pow.f64 k -1/2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) 3/2) (pow.f64 (pow.f64 k -1/2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) 3) (pow.f64 k 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) 3) (pow.f64 k 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) 3/2) (pow.f64 k 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(exp.f64 (log.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))) 1))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) 1/2) (sqrt.f64 k))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))

localize27.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.6%
(*.f64 (PI.f64) (+.f64 n n))
✓99.4%
(cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
✓99.1%
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)
83.4%
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
Compiler

Compiled 78 to 35 computations (55.1% saved)

series106.0ms (0.9%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
33.0ms
n
@inf
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)
18.0ms
k
@-inf
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)
17.0ms
n
@-inf
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)
15.0ms
k
@inf
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)
14.0ms
n
@0
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)

rewrite98.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1620×log-prod
1192×prod-diff
572×expm1-udef
568×log1p-udef
466×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01778
137076
2475376
Stop Event
1×node limit
Counts
2 → 64
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)
(cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 (/.f64 1 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 (/.f64 1 k) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2)) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6) 3) (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6)) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (sqrt.f64 (neg.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (neg.f64 (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/3) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) 1/3) (pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (cbrt.f64 (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))))))

simplify139.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
992×associate-+r+
952×associate-+l+
630×unswap-sqr
488×associate-*r*
480×+-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03129900
18378172
230866788
373526752
Stop Event
1×node limit
Counts
112 → 159
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 1 k)) (*.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) 1/6) (pow.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) 1/3)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (*.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) 1/6) (pow.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) 1/3)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (*.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) 1/6) (pow.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) 1/3)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (*.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) 1/6) (pow.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) 1/3)))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3)
(+.f64 (*.f64 k (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (*.f64 -1/6 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3))
(+.f64 (*.f64 k (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (*.f64 -1/6 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))) (+.f64 (*.f64 (pow.f64 k 2) (+.f64 (*.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (+.f64 (*.f64 1/36 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/12 (+.f64 (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 1/72 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 2))))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 (+.f64 (*.f64 1/12 (+.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)))) (*.f64 1/72 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3))))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3)))
(+.f64 (*.f64 k (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (*.f64 -1/6 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))) (+.f64 (*.f64 (pow.f64 k 2) (+.f64 (*.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (+.f64 (*.f64 1/36 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/12 (+.f64 (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 1/72 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 2))))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 (+.f64 (*.f64 1/12 (+.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)))) (*.f64 1/72 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3))))) (+.f64 (*.f64 (pow.f64 k 3) (+.f64 (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (*.f64 (+.f64 (*.f64 1/36 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/12 (+.f64 (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 1/72 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 2)))) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (+.f64 (*.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/12 (+.f64 (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 1/72 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 2) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 2) (+.f64 (*.f64 -1/1296 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)) (+.f64 (*.f64 -1/72 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (*.f64 1/36 (+.f64 (*.f64 -2 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)) (+.f64 (*.f64 3 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)) (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))))))))))) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/12 (+.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)))) (*.f64 1/72 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (*.f64 (+.f64 (*.f64 -1/1296 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)) (+.f64 (*.f64 -1/72 (*.f64 (+.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (*.f64 1/36 (+.f64 (*.f64 3 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)) (+.f64 (*.f64 -2 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)) (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))))))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3)))))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3))))
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (log.f64 (/.f64 1 k))))) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (log.f64 (/.f64 1 k))))) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (log.f64 (/.f64 1 k))))) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (log.f64 (/.f64 1 k))))) 3)
(*.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))) (log.f64 (/.f64 -1 k))))) 3)) (pow.f64 1 1/3))
(*.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))) (log.f64 (/.f64 -1 k))))) 3)) (pow.f64 1 1/3))
(*.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))) (log.f64 (/.f64 -1 k))))) 3)) (pow.f64 1 1/3))
(*.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))) (log.f64 (/.f64 -1 k))))) 3)) (pow.f64 1 1/3))
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k) 1/6)
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (*.f64 -1/6 (*.f64 k (*.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))))
(+.f64 (*.f64 (pow.f64 k 2) (*.f64 (+.f64 (*.f64 1/12 (+.f64 (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 1/72 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (*.f64 -1/6 (*.f64 k (*.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))))
(+.f64 (*.f64 (pow.f64 k 2) (*.f64 (+.f64 (*.f64 1/12 (+.f64 (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 1/72 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (+.f64 (*.f64 -1/6 (*.f64 k (*.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (*.f64 (pow.f64 k 3) (*.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (+.f64 (*.f64 -1/1296 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)) (+.f64 (*.f64 -1/72 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (*.f64 1/36 (+.f64 (*.f64 -2 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)) (+.f64 (*.f64 3 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)) (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))))))))))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (log.f64 (/.f64 1 k)))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (log.f64 (/.f64 1 k)))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (log.f64 (/.f64 1 k)))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (log.f64 (/.f64 1 k)))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))) (log.f64 (/.f64 -1 k))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))) (log.f64 (/.f64 -1 k))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))) (log.f64 (/.f64 -1 k))))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))) (log.f64 (/.f64 -1 k))))))
(+.f64 0 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 (/.f64 1 k) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 (sqrt.f64 k)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2)) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6) 3) (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6) 3))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6)) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6))
(/.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (sqrt.f64 (neg.f64 k)))
(/.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (neg.f64 (sqrt.f64 k)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(fabs.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(+.f64 0 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))) 1)
(*.f64 1 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 1)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6))
(*.f64 (pow.f64 1 1/3) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/3) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) 1/3) (pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) 1/3))
(/.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (cbrt.f64 (sqrt.f64 k)))
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 1)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)) 3)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6) 2)
(sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))
(exp.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))
Outputs
(*.f64 (sqrt.f64 (/.f64 1 k)) (*.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) 1/6) (pow.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) 1/3)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (*.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) 1/6) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) 1/6) 3))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 1/6) 3))
(*.f64 (sqrt.f64 (/.f64 1 k)) (*.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) 1/6) (pow.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) 1/3)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (*.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) 1/6) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) 1/6) 3))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 1/6) 3))
(*.f64 (sqrt.f64 (/.f64 1 k)) (*.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) 1/6) (pow.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) 1/3)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (*.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) 1/6) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) 1/6) 3))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 1/6) 3))
(*.f64 (sqrt.f64 (/.f64 1 k)) (*.f64 (pow.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) 1/6) (pow.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) 1/3)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (*.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) 1/6) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) 1/6) 3))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 1/6) 3))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) -2) 1) (pow.f64 (/.f64 -1 n) -1)) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) -2) 1) (pow.f64 (/.f64 -1 n) -1)) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) -2) 1) (pow.f64 (/.f64 -1 n) -1)) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) -2) 1) (pow.f64 (/.f64 -1 n) -1)) (-.f64 1 k)) k))
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3)
(+.f64 (*.f64 k (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (*.f64 -1/6 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3))
(fma.f64 k (*.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 3)) -1/2) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 3))
(fma.f64 k (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3) -1/2)) (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3))
(fma.f64 k (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) (*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3) -1/2)) (pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3))
(+.f64 (*.f64 k (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (*.f64 -1/6 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))) (+.f64 (*.f64 (pow.f64 k 2) (+.f64 (*.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (+.f64 (*.f64 1/36 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/12 (+.f64 (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 1/72 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 2))))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 (+.f64 (*.f64 1/12 (+.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)))) (*.f64 1/72 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3))))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3)))
(fma.f64 k (*.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 3)) -1/2) (fma.f64 (*.f64 k k) (fma.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (fma.f64 1/36 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2)) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 2) (fma.f64 1/12 (*.f64 0 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2)) (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) 1/72))))) (fma.f64 1/18 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2)) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 3) (fma.f64 1/12 (*.f64 0 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2)) (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) 1/72))))) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 3)))
(fma.f64 k (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3) -1/2)) (fma.f64 (*.f64 k k) (+.f64 (+.f64 (*.f64 1/36 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2))) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3) (fma.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) 1/72 0)))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3) (fma.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) 1/72 0) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3) (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) 1/18)))) (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3)))
(fma.f64 k (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) (*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3) -1/2)) (fma.f64 (*.f64 k k) (fma.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) (*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 2) (+.f64 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/36) (*.f64 2 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/72)))) (*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3) (+.f64 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/18) (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/72)))) (pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3)))
(fma.f64 k (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) (*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3) -1/2)) (fma.f64 (*.f64 k k) (fma.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) (*.f64 (cbrt.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k)) (+.f64 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/36) (*.f64 2 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/72)))) (*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3) (+.f64 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/18) (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/72)))) (pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3)))
(+.f64 (*.f64 k (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (*.f64 -1/6 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))) (+.f64 (*.f64 (pow.f64 k 2) (+.f64 (*.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (+.f64 (*.f64 1/36 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/12 (+.f64 (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 1/72 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 2))))) (+.f64 (*.f64 1/18 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 (+.f64 (*.f64 1/12 (+.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)))) (*.f64 1/72 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3))))) (+.f64 (*.f64 (pow.f64 k 3) (+.f64 (*.f64 -1/6 (*.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (*.f64 (+.f64 (*.f64 1/36 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 2 (*.f64 (+.f64 (*.f64 1/12 (+.f64 (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 1/72 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 2)))) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (+.f64 (*.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/12 (+.f64 (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 1/72 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 2) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (*.f64 2 (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 2) (+.f64 (*.f64 -1/1296 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)) (+.f64 (*.f64 -1/72 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (*.f64 1/36 (+.f64 (*.f64 -2 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)) (+.f64 (*.f64 3 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)) (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))))))))))) (+.f64 (*.f64 -1/3 (*.f64 (+.f64 (*.f64 1/12 (+.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)))) (*.f64 1/72 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (*.f64 (+.f64 (*.f64 -1/1296 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)) (+.f64 (*.f64 -1/72 (*.f64 (+.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (*.f64 1/36 (+.f64 (*.f64 3 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)) (+.f64 (*.f64 -2 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)) (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))))))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3)))))) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 3))))
(fma.f64 k (*.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 3)) -1/2) (fma.f64 (*.f64 k k) (fma.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (fma.f64 1/36 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2)) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 2) (fma.f64 1/12 (*.f64 0 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2)) (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) 1/72))))) (fma.f64 1/18 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2)) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 3) (fma.f64 1/12 (*.f64 0 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2)) (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) 1/72))))) (fma.f64 (pow.f64 k 3) (fma.f64 -1/6 (*.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (fma.f64 1/36 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2)) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 2) (fma.f64 1/12 (*.f64 0 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2)) (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) 1/72))))))) (fma.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (fma.f64 -1/3 (*.f64 (fma.f64 1/12 (*.f64 0 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2)) (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) 1/72)) (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 2))) (*.f64 (*.f64 2 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 2)) (fma.f64 -1/1296 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 3) (fma.f64 -1/72 (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (*.f64 0 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2))) (*.f64 1/36 (fma.f64 -2 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 3) (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 3) 2))))))) (fma.f64 -1/3 (*.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 3)) (fma.f64 1/12 (*.f64 0 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2)) (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) 1/72))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 3) (fma.f64 -1/1296 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 3) (fma.f64 -1/72 (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (*.f64 0 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2))) (*.f64 1/36 (fma.f64 3 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 3) (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 3) -3))))))))) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) 3))))
(fma.f64 k (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3) -1/2)) (fma.f64 (*.f64 k k) (+.f64 (+.f64 (*.f64 1/36 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2))) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3) (fma.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) 1/72 0)))) (fma.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3) (fma.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) 1/72 0) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3) (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) 1/18)))) (fma.f64 (pow.f64 k 3) (+.f64 (fma.f64 -1/3 (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3) (fma.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) 1/72 0))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3) (fma.f64 -1/1296 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 3) (fma.f64 1/36 (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 3) 0) (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 0))))) (fma.f64 -1/6 (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (+.f64 (*.f64 1/36 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2))) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3) (fma.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) 1/72 0))))) (+.f64 (*.f64 -1/3 (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3) (fma.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) 1/72 0)))) (*.f64 2 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3) (fma.f64 -1/1296 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 3) (fma.f64 1/36 (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 3) 0) (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 0)))))))) (pow.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) 3))))
(fma.f64 k (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) (*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3) -1/2)) (fma.f64 (*.f64 k k) (fma.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) (*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 2) (+.f64 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/36) (*.f64 2 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/72)))) (*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3) (+.f64 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/18) (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/72)))) (fma.f64 (pow.f64 k 3) (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3) (+.f64 (*.f64 (*.f64 -1/3 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/72)) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))) (*.f64 -1/1296 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 3)))) (*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) (+.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) (*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 2) (+.f64 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/36) (*.f64 2 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/72))))) -1/6) (*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 2) (+.f64 (*.f64 (*.f64 -1/3 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/72)) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))) (*.f64 2 (*.f64 -1/1296 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 3)))))))) (pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3))))
(fma.f64 k (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) (*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3) -1/2)) (fma.f64 (*.f64 k k) (fma.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) (*.f64 (cbrt.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k)) (+.f64 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/36) (*.f64 2 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/72)))) (*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3) (+.f64 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/18) (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/72)))) (fma.f64 (pow.f64 k 3) (+.f64 (*.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3) (+.f64 (*.f64 (*.f64 -1/3 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/72)) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))) (*.f64 -1/1296 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 3)))) (*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) (+.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) (*.f64 (cbrt.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k)) (+.f64 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/36) (*.f64 2 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/72))))) -1/6) (*.f64 (cbrt.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k)) (+.f64 (*.f64 (*.f64 -1/3 (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/72)) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))) (*.f64 2 (*.f64 -1/1296 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 3)))))))) (pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3))))
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (log.f64 (/.f64 1 k))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 k)) (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (log.f64 (/.f64 1 k))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 k)) (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (log.f64 (/.f64 1 k))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 k)) (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3)
(pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (log.f64 (/.f64 1 k))))) 3)
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 k)) (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3)
(*.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))) (log.f64 (/.f64 -1 k))))) 3)) (pow.f64 1 1/3))
(*.f64 1 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) (log.f64 (/.f64 -1 k)))) 3) (sqrt.f64 -1)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 (/.f64 -1 k)))) 3) (sqrt.f64 -1))
(*.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 1/6) (pow.f64 (/.f64 -1 k) 1/6)) 3) (sqrt.f64 -1))
(*.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))) (log.f64 (/.f64 -1 k))))) 3)) (pow.f64 1 1/3))
(*.f64 1 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) (log.f64 (/.f64 -1 k)))) 3) (sqrt.f64 -1)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 (/.f64 -1 k)))) 3) (sqrt.f64 -1))
(*.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 1/6) (pow.f64 (/.f64 -1 k) 1/6)) 3) (sqrt.f64 -1))
(*.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))) (log.f64 (/.f64 -1 k))))) 3)) (pow.f64 1 1/3))
(*.f64 1 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) (log.f64 (/.f64 -1 k)))) 3) (sqrt.f64 -1)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 (/.f64 -1 k)))) 3) (sqrt.f64 -1))
(*.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 1/6) (pow.f64 (/.f64 -1 k) 1/6)) 3) (sqrt.f64 -1))
(*.f64 (*.f64 (sqrt.f64 -1) (pow.f64 (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))) (log.f64 (/.f64 -1 k))))) 3)) (pow.f64 1 1/3))
(*.f64 1 (*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) (log.f64 (/.f64 -1 k)))) 3) (sqrt.f64 -1)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 (/.f64 -1 k)))) 3) (sqrt.f64 -1))
(*.f64 (pow.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 1/6) (pow.f64 (/.f64 -1 k) 1/6)) 3) (sqrt.f64 -1))
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) -2) 1) (pow.f64 (/.f64 -1 n) -1)) (-.f64 1 k)) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) -2) 1) (pow.f64 (/.f64 -1 n) -1)) (-.f64 1 k)) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) -2) 1) (pow.f64 (/.f64 -1 n) -1)) (-.f64 1 k)) k) 1/6)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) -2) 1) (pow.f64 (/.f64 -1 n) -1)) (-.f64 1 k)) k) 1/6)
(exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))))
(pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k)))
(pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6)
(+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (*.f64 -1/6 (*.f64 k (*.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))))
(+.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (*.f64 (*.f64 -1/6 k) (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))))))
(fma.f64 -1/6 (*.f64 k (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))))) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))))
(*.f64 (+.f64 (*.f64 (*.f64 k -1/6) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))) 1) (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6))
(+.f64 (*.f64 (pow.f64 k 2) (*.f64 (+.f64 (*.f64 1/12 (+.f64 (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 1/72 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (*.f64 -1/6 (*.f64 k (*.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))))
(fma.f64 (*.f64 k k) (*.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (fma.f64 1/12 (*.f64 0 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2)) (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) 1/72))) (+.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (*.f64 (*.f64 -1/6 k) (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))))))))
(+.f64 (*.f64 (*.f64 k (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k)))) (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) -1/6)) (*.f64 (+.f64 (*.f64 (*.f64 k k) (fma.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) 1/72 0)) 1) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k)))))
(*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) (+.f64 (*.f64 (*.f64 k -1/6) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))) (+.f64 1 (*.f64 k (*.f64 k (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/72))))))
(+.f64 (*.f64 (pow.f64 k 2) (*.f64 (+.f64 (*.f64 1/12 (+.f64 (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (*.f64 1/72 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))))) (+.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (+.f64 (*.f64 -1/6 (*.f64 k (*.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (*.f64 (pow.f64 k 3) (*.f64 (exp.f64 (*.f64 1/6 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (+.f64 (*.f64 -1/1296 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)) (+.f64 (*.f64 -1/72 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (*.f64 1/36 (+.f64 (*.f64 -2 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)) (+.f64 (*.f64 3 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3)) (*.f64 -1 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))))))))))))
(fma.f64 (*.f64 k k) (*.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (fma.f64 1/12 (*.f64 0 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2)) (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) 1/72))) (+.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (fma.f64 -1/6 (*.f64 k (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))))) (*.f64 (*.f64 (pow.f64 k 3) (pow.f64 (exp.f64 1/6) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))))) (fma.f64 -1/1296 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 3) (fma.f64 -1/72 (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (*.f64 0 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2))) (*.f64 1/36 (fma.f64 -2 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 3) (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 3) 2)))))))))
(+.f64 (fma.f64 (*.f64 (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k))) (pow.f64 k 3)) (fma.f64 -1/1296 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 3) (fma.f64 1/36 (*.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 3) 0) (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 0))) (*.f64 (*.f64 k (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k)))) (*.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) -1/6))) (*.f64 (+.f64 (*.f64 (*.f64 k k) (fma.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) 2) 1/72 0)) 1) (pow.f64 (exp.f64 1/6) (-.f64 (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 k)))))
(+.f64 (*.f64 (*.f64 -1/6 (*.f64 k (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6))) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))) (*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) (+.f64 (+.f64 1 (*.f64 k (*.f64 k (*.f64 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) 1/72)))) (*.f64 (pow.f64 k 3) (*.f64 -1/1296 (pow.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) 3))))))
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (log.f64 (/.f64 1 k)))))
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (log.f64 (/.f64 1 k)))))
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (log.f64 (/.f64 1 k)))))
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (log.f64 (/.f64 1 k)))))
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))) (log.f64 (/.f64 -1 k))))))
(*.f64 (pow.f64 (exp.f64 1/6) (+.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) (log.f64 (/.f64 -1 k)))) (cbrt.f64 (sqrt.f64 -1)))
(*.f64 (pow.f64 (exp.f64 1/6) (fma.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 (/.f64 -1 k)))) (cbrt.f64 (sqrt.f64 -1)))
(*.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 1/6) (pow.f64 (/.f64 -1 k) 1/6)) (cbrt.f64 (sqrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))) (log.f64 (/.f64 -1 k))))))
(*.f64 (pow.f64 (exp.f64 1/6) (+.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) (log.f64 (/.f64 -1 k)))) (cbrt.f64 (sqrt.f64 -1)))
(*.f64 (pow.f64 (exp.f64 1/6) (fma.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 (/.f64 -1 k)))) (cbrt.f64 (sqrt.f64 -1)))
(*.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 1/6) (pow.f64 (/.f64 -1 k) 1/6)) (cbrt.f64 (sqrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))) (log.f64 (/.f64 -1 k))))))
(*.f64 (pow.f64 (exp.f64 1/6) (+.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) (log.f64 (/.f64 -1 k)))) (cbrt.f64 (sqrt.f64 -1)))
(*.f64 (pow.f64 (exp.f64 1/6) (fma.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 (/.f64 -1 k)))) (cbrt.f64 (sqrt.f64 -1)))
(*.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 1/6) (pow.f64 (/.f64 -1 k) 1/6)) (cbrt.f64 (sqrt.f64 -1)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 -1) 1) 1/3) (exp.f64 (*.f64 1/6 (+.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k)))) (log.f64 (/.f64 -1 k))))))
(*.f64 (pow.f64 (exp.f64 1/6) (+.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) (log.f64 (/.f64 -1 k)))) (cbrt.f64 (sqrt.f64 -1)))
(*.f64 (pow.f64 (exp.f64 1/6) (fma.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))) (log.f64 (/.f64 -1 k)))) (cbrt.f64 (sqrt.f64 -1)))
(*.f64 (*.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) 1/6) (pow.f64 (/.f64 -1 k) 1/6)) (cbrt.f64 (sqrt.f64 -1)))
(+.f64 0 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) 1)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(*.f64 1 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 k)) (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3)
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))) 4))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 4))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 k)) (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6) (*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 (/.f64 1 k) 1/2))
(*.f64 (sqrt.f64 (/.f64 1 k)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 (sqrt.f64 k)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (/.f64 1 (sqrt.f64 k)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k))
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2)) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 k)) (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2) 1/2) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))
(*.f64 (fabs.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))) (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))
(pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3/2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 k)) (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3)
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6) 3) (pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6) 3))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))
(pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (neg.f64 (log.f64 k)) (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3)
(*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))) (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))) 4))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 4))
(*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6)) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(/.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(/.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (/.f64 1 (sqrt.f64 k)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (/.f64 1 (sqrt.f64 k)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (sqrt.f64 (neg.f64 k)))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (sqrt.f64 (neg.f64 k)))
(/.f64 (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (neg.f64 (sqrt.f64 k)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (/.f64 1 (sqrt.f64 k)))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(fabs.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 3/2))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/2))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(+.f64 0 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6))) (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))))
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))) 1)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(*.f64 1 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 1)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6) (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6))
(cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))
(cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (pow.f64 1 1/3) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/3) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) 1/3) (pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/4)) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k) 1/4)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4)) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4)))
(/.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (cbrt.f64 (sqrt.f64 k)))
(/.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (cbrt.f64 (sqrt.f64 k)))
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/3)
(cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))
(cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 1)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)) 3)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/6) 2)
(cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))
(cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))
(log.f64 (exp.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))))
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(exp.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1/3))
(cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) k)))
(cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)) 1))
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)))
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n)))) k) 1/6)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6)

eval376.0ms (3.1%)

Compiler

Compiled 23206 to 14470 computations (37.6% saved)

prune189.0ms (1.6%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New93516951
Fresh12113
Picked101
Done415
Total95218970
Accurracy
100.0%
Counts
970 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.8%
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) 2)
78.2%
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3)
45.0%
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3)
▶81.6%
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3/2)
66.2%
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
▶99.4%
(/.f64 1 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))))
▶66.1%
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
83.1%
(/.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
▶99.5%
(*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
66.1%
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 k)) (sqrt.f64 (*.f64 n (PI.f64))))
66.2%
(*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
66.1%
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 k)))
✓82.1%
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
82.3%
(sqrt.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k)) k))
48.8%
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
78.9%
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))) k))
82.1%
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) (/.f64 1 k)))
▶48.9%
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
Compiler

Compiled 504 to 388 computations (23% saved)

localize28.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.7%
(pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2))
99.6%
(*.f64 (*.f64 2 (PI.f64)) n)
✓99.6%
(*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
Compiler

Compiled 53 to 38 computations (28.3% saved)

series3.0ms (0%)

Counts
1 → 12
Calls

6 calls:

TimeVariablePointExpression
1.0ms
n
@0
(*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
1.0ms
k
@-inf
(*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
1.0ms
k
@0
(*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
0.0ms
k
@inf
(*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
0.0ms
n
@inf
(*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))

rewrite75.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1628×log-prod
818×pow-exp
598×expm1-udef
594×log1p-udef
530×log-pow
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01645
134645
2426743
Stop Event
1×node limit
Counts
1 → 22
Calls
Call 1
Inputs
(*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 k -1/4) (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (/.f64 (-.f64 1 k) 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 3) (pow.f64 (pow.f64 k -1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 k -1/4) (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (/.f64 (-.f64 1 k) 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))))))))

simplify64.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1104×associate-*r*
1008×associate-*l*
988×log-prod
466×exp-sum
446×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01072216
12542158
28131784
347971378
Stop Event
1×node limit
Counts
34 → 35
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(+.f64 0 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))))) 1)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))) 3) 1/3)
(pow.f64 (*.f64 (pow.f64 k -1/4) (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (/.f64 (-.f64 1 k) 4))) 2)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 3) (pow.f64 (pow.f64 k -1/2) 3)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))))) 1/3))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 k -1/4) (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (/.f64 (-.f64 1 k) 4)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))))
Outputs
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))) (pow.f64 k -1/2))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 k))) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) (pow.f64 k -1/2))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))) (pow.f64 k -1/2))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 k))) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) (pow.f64 k -1/2))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))) (pow.f64 k -1/2))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 k))) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) (pow.f64 k -1/2))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))) (pow.f64 k -1/2))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 1 k))) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) (pow.f64 k -1/2))
(+.f64 0 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)))) (pow.f64 k -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))))) 1)
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))) 1)
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))) 3)
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))) 3) 1/3)
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(pow.f64 (*.f64 (pow.f64 k -1/4) (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (/.f64 (-.f64 1 k) 4))) 2)
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))) (pow.f64 k -1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))) 3))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 k -1/2) 3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 3)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k))) 3) (pow.f64 (pow.f64 k -1/2) 3)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))) 1))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))) 1) 1))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))))) 3))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1))))) 1/3))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 k -1/4) (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (/.f64 (-.f64 1 k) 4)))) 2))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)) (pow.f64 k -1)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (exp.f64 1/2) (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (log.f64 (*.f64 2 (*.f64 (PI.f64) n))))) (pow.f64 k -1/2))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1 k)) k))

localize11.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(/.f64 2 (/.f64 k n))
✓99.6%
(*.f64 (/.f64 2 (/.f64 k n)) (PI.f64))
✓83.3%
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
Compiler

Compiled 29 to 14 computations (51.7% saved)

series8.0ms (0.1%)

Counts
3 → 48
Calls

18 calls:

TimeVariablePointExpression
1.0ms
k
@-inf
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
1.0ms
k
@0
(*.f64 (/.f64 2 (/.f64 k n)) (PI.f64))
1.0ms
n
@-inf
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
0.0ms
n
@0
(/.f64 2 (/.f64 k n))
0.0ms
n
@0
(*.f64 (/.f64 2 (/.f64 k n)) (PI.f64))

rewrite93.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1268×log-prod
758×pow-prod-down
606×pow-prod-up
542×pow-exp
478×pow-unpow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01259
125359
2321459
Stop Event
1×node limit
Counts
3 → 112
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(*.f64 (/.f64 2 (/.f64 k n)) (PI.f64))
(/.f64 2 (/.f64 k n))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6) (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/4) (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 2 (/.f64 n k))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (/.f64 k n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) n) (/.f64 2 k))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) n) (/.f64 2 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) n) (/.f64 2 k)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) n) (/.f64 2 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 k n) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (*.f64 (/.f64 k n) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 k n) (*.f64 2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (PI.f64)) (/.f64 k n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (PI.f64))) (/.f64 (neg.f64 k) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) -2) (/.f64 (neg.f64 k) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (PI.f64)) (/.f64 (neg.f64 k) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (PI.f64)) k) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (PI.f64)) 1) (/.f64 k n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 k n)) 2)) (cbrt.f64 (/.f64 k n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 (PI.f64)) (sqrt.f64 (/.f64 k n))) (sqrt.f64 (/.f64 k n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 k n) (*.f64 2 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) n) (/.f64 2 k)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (/.f64 n k)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (/.f64 2 k))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (/.f64 2 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (/.f64 2 k)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (/.f64 2 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 n k)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 n k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 2 k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 n k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (/.f64 n k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (/.f64 n k))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 n k))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 n k))) 2) (cbrt.f64 (*.f64 2 (/.f64 n k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) (sqrt.f64 (*.f64 2 (/.f64 n k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1 (/.f64 (neg.f64 k) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n k) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 k) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 k) 1) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 k) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 k) (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (neg.f64 k)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 n k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 n k))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (/.f64 k n) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 n k)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 k n) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (/.f64 k n) 1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (/.f64 k n) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 n) (/.f64 2 k)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 n k)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 n k)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 n k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 n k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 n k))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 n k))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2 (/.f64 n k)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2 (/.f64 n k)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 n k)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 k n) 1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 n k))))))))

simplify64.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1290×fma-def
1016×distribute-lft-in
962×distribute-rgt-in
594×*-commutative
562×log-prod
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02543218
15563108
218373108
Stop Event
1×node limit
Counts
160 → 130
Calls
Call 1
Inputs
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(*.f64 2 (/.f64 n k))
(+.f64 0 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1)
(*.f64 1 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))
(*.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6))
(*.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6) (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/4) (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/4))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 2 (/.f64 n k))))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (/.f64 k n)))
(pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 3/2)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 2) 1/4)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/4)) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))
(+.f64 0 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) n) (/.f64 2 k))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) n) (/.f64 2 k)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) n) (/.f64 2 k)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) n) (/.f64 2 k)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1)
(/.f64 2 (/.f64 (/.f64 k n) (PI.f64)))
(/.f64 (PI.f64) (*.f64 (/.f64 k n) 1/2))
(/.f64 1 (/.f64 (/.f64 k n) (*.f64 2 (PI.f64))))
(/.f64 (*.f64 2 (PI.f64)) (/.f64 k n))
(/.f64 (neg.f64 (*.f64 2 (PI.f64))) (/.f64 (neg.f64 k) n))
(/.f64 (*.f64 (PI.f64) -2) (/.f64 (neg.f64 k) n))
(/.f64 (*.f64 -2 (PI.f64)) (/.f64 (neg.f64 k) n))
(/.f64 (/.f64 (*.f64 2 (PI.f64)) k) (/.f64 1 n))
(/.f64 (/.f64 (*.f64 2 (PI.f64)) 1) (/.f64 k n))
(/.f64 (/.f64 (*.f64 2 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 k n)) 2)) (cbrt.f64 (/.f64 k n)))
(/.f64 (/.f64 (*.f64 2 (PI.f64)) (sqrt.f64 (/.f64 k n))) (sqrt.f64 (/.f64 k n)))
(pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 2)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6) 6)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 2/3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/4) 4)
(pow.f64 (/.f64 (/.f64 k n) (*.f64 2 (PI.f64))) -1)
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) n) (/.f64 2 k)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1/2) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1/2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))
(+.f64 0 (*.f64 2 (/.f64 n k)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (/.f64 2 k))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (/.f64 2 k)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (/.f64 2 k)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (/.f64 2 k)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 n k)))) 1)
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(*.f64 (*.f64 2 (/.f64 n k)) 1)
(*.f64 1 (*.f64 2 (/.f64 n k)))
(*.f64 (cbrt.f64 (*.f64 2 (/.f64 n k))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 n k))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 n k))) 2) (cbrt.f64 (*.f64 2 (/.f64 n k))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) (sqrt.f64 (*.f64 2 (/.f64 n k))))
(*.f64 -2 (/.f64 1 (/.f64 (neg.f64 k) n)))
(*.f64 (/.f64 n k) 2)
(*.f64 (/.f64 2 k) n)
(*.f64 (*.f64 (/.f64 2 k) 1) n)
(*.f64 (*.f64 (/.f64 2 k) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(*.f64 (*.f64 (/.f64 2 k) (sqrt.f64 n)) (sqrt.f64 n))
(*.f64 (/.f64 2 (neg.f64 k)) (neg.f64 n))
(pow.f64 (*.f64 2 (/.f64 n k)) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 n k))) 3)
(pow.f64 (*.f64 4 (pow.f64 (/.f64 k n) -2)) 1/2)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 n k)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) 2)
(pow.f64 (*.f64 (/.f64 k n) 1/2) -1)
(pow.f64 (/.f64 (*.f64 (/.f64 k n) 1/2) 1) -1)
(sqrt.f64 (*.f64 4 (pow.f64 (/.f64 k n) -2)))
(log.f64 (pow.f64 (exp.f64 n) (/.f64 2 k)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 n k)))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 n k)) 3))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 n k))))
(exp.f64 (log.f64 (*.f64 2 (/.f64 n k))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 n k))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 n k))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2 (/.f64 n k)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2 (/.f64 n k)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 n k)))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 k n) 1/2)) -1))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 n k))))
Outputs
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 (*.f64 n (PI.f64)) k))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(+.f64 0 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))) 1)
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1)
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(*.f64 1 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(*.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(*.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6) (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 n (/.f64 2 k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k n))) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/4) (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/4))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 2 (/.f64 n k))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 n (/.f64 2 k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k n))) (sqrt.f64 (PI.f64)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (/.f64 k n)))
(pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/2)
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1)
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 3/2)
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6) 3)
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 2) 1/4)
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3) 1/6)
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 1/3)
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/4) 2)
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(fabs.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1/2))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1) 1/2))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1/2) 1))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1) 1))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6)) 3))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1/3))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/4)) 2))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 n (/.f64 2 k))))
(sqrt.f64 (*.f64 (PI.f64) (/.f64 2 (/.f64 k n))))
(+.f64 0 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) n) (/.f64 2 k))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) n) (/.f64 2 k)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) n) (/.f64 2 k)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) n) (/.f64 2 k)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) n) (/.f64 2 k)))))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1)
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(/.f64 2 (/.f64 (/.f64 k n) (PI.f64)))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(/.f64 (PI.f64) (*.f64 (/.f64 k n) 1/2))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(/.f64 1 (/.f64 (/.f64 k n) (*.f64 2 (PI.f64))))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(/.f64 (*.f64 2 (PI.f64)) (/.f64 k n))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(/.f64 (neg.f64 (*.f64 2 (PI.f64))) (/.f64 (neg.f64 k) n))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(/.f64 (*.f64 (PI.f64) -2) (/.f64 (neg.f64 k) n))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(/.f64 (*.f64 -2 (PI.f64)) (/.f64 (neg.f64 k) n))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(/.f64 (/.f64 (*.f64 2 (PI.f64)) k) (/.f64 1 n))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(/.f64 (/.f64 (*.f64 2 (PI.f64)) 1) (/.f64 k n))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(/.f64 (/.f64 (*.f64 2 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 k n)) 2)) (cbrt.f64 (/.f64 k n)))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(/.f64 (/.f64 (*.f64 2 (PI.f64)) (sqrt.f64 (/.f64 k n))) (sqrt.f64 (/.f64 k n)))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1)
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 2)
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 3)
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6) 6)
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 2) 1/2)
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3) 1/3)
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 2/3)
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/4) 4)
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(pow.f64 (/.f64 (/.f64 k n) (*.f64 2 (PI.f64))) -1)
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(sqrt.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 2))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) n) (/.f64 2 k)))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(exp.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1) 1))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 2))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 1/2) 2))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1) 2))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 3))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1/2))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))))) 1/3))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))))
(*.f64 2 (/.f64 n (/.f64 k (PI.f64))))
(*.f64 (PI.f64) (*.f64 n (/.f64 2 k)))
(*.f64 (PI.f64) (/.f64 2 (/.f64 k n)))
(+.f64 0 (*.f64 2 (/.f64 n k)))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (/.f64 2 k))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (/.f64 2 k)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 n) (/.f64 2 k)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (/.f64 2 k)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 n) (/.f64 2 k)))))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(-.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 n k)))) 1)
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 n (/.f64 2 k))
(*.f64 2 (/.f64 n k))
(/.f64 2 (/.f64 k n))
(*.f64 (*.f64 2 (/.f64 n k)) 1)
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 1 (*.f64 2 (/.f64 n k)))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 (cbrt.f64 (*.f64 2 (/.f64 n k))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 n k))) 2))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 n k))) 2) (cbrt.f64 (*.f64 2 (/.f64 n k))))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) (sqrt.f64 (*.f64 2 (/.f64 n k))))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 -2 (/.f64 1 (/.f64 (neg.f64 k) n)))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 (/.f64 n k) 2)
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 (/.f64 2 k) n)
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 (*.f64 (/.f64 2 k) 1) n)
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 (*.f64 (/.f64 2 k) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 (*.f64 (/.f64 2 k) (sqrt.f64 n)) (sqrt.f64 n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(*.f64 (/.f64 2 (neg.f64 k)) (neg.f64 n))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(pow.f64 (*.f64 2 (/.f64 n k)) 1)
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 n k))) 3)
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(pow.f64 (*.f64 4 (pow.f64 (/.f64 k n) -2)) 1/2)
(sqrt.f64 (*.f64 4 (pow.f64 (/.f64 k n) -2)))
(pow.f64 (pow.f64 (*.f64 2 (/.f64 n k)) 3) 1/3)
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(pow.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) 2)
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(pow.f64 (*.f64 (/.f64 k n) 1/2) -1)
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(pow.f64 (/.f64 (*.f64 (/.f64 k n) 1/2) 1) -1)
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(sqrt.f64 (*.f64 4 (pow.f64 (/.f64 k n) -2)))
(log.f64 (pow.f64 (exp.f64 n) (/.f64 2 k)))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 n k)))))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 n k)) 3))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(expm1.f64 (log1p.f64 (*.f64 2 (/.f64 n k))))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(exp.f64 (log.f64 (*.f64 2 (/.f64 n k))))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 n k))) 1))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 n k))) 1) 1))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 2 (/.f64 n k)))) 3))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 2 (/.f64 n k)))) 1/3))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (/.f64 n k)))) 2))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 k n) 1/2)) -1))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))
(log1p.f64 (expm1.f64 (*.f64 2 (/.f64 n k))))
(*.f64 2 (/.f64 n k))
(*.f64 n (/.f64 2 k))
(/.f64 2 (/.f64 k n))

localize20.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.8%
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
99.6%
(*.f64 n (PI.f64))
✓99.6%
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
✓99.4%
(/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))
Compiler

Compiled 43 to 22 computations (48.8% saved)

series6.0ms (0.1%)

Counts
3 → 0
Calls

15 calls:

TimeVariablePointExpression
1.0ms
k
@0
(/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))
1.0ms
n
@0
(/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))
1.0ms
k
@-inf
(/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))
1.0ms
n
@-inf
(/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))
0.0ms
k
@inf
(/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))

rewrite88.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1506×log-prod
894×pow-prod-down
736×pow-prod-up
696×pow-exp
510×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01575
130669
2376869
Stop Event
1×node limit
Counts
3 → 142
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))))
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) (cbrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 k) (*.f64 (cbrt.f64 (sqrt.f64 k)) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 k 1/4) (*.f64 (pow.f64 k 1/4) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) (sqrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 k)) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2) (sqrt.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 k) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (/.f64 (sqrt.f64 k) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4)) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 n (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 k) 1) (/.f64 (cbrt.f64 (sqrt.f64 k)) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 k) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 k)) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 k) (sqrt.f64 2)) (/.f64 (cbrt.f64 (sqrt.f64 k)) (sqrt.f64 (*.f64 n (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 k 1/4) 1) (/.f64 (pow.f64 k 1/4) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 k 1/4) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (/.f64 (pow.f64 k 1/4) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 k 1/4) (sqrt.f64 2)) (/.f64 (pow.f64 k 1/4) (sqrt.f64 (*.f64 n (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 k) (neg.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 k 3/2) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (pow.f64 k -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) (cbrt.f64 (*.f64 (pow.f64 k -1) (*.f64 n (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 k -1) (*.f64 n (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 k -1/2) (/.f64 1 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 k 1/4)) (/.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (pow.f64 k 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (cbrt.f64 k)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (pow.f64 k 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (pow.f64 k 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) 1) (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) (cbrt.f64 (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) (pow.f64 k 1/4)) (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) (pow.f64 k 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 n (PI.f64))) (cbrt.f64 (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 2) (pow.f64 k 1/4)) (/.f64 (sqrt.f64 (*.f64 n (PI.f64))) (pow.f64 k 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 k -1/2) 1) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 k -1/2) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4)) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 k -1/2) (sqrt.f64 2)) (sqrt.f64 (*.f64 n (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sqrt.f64 k))) (neg.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 k -1) (*.f64 n (*.f64 (PI.f64) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 k -1) (*.f64 n (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 3/2) (pow.f64 k 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 n)) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 n) 1/2) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 4 (pow.f64 (*.f64 n (PI.f64)) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 n (*.f64 (PI.f64) 2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))))))

simplify79.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1476×times-frac
1256×associate-/l*
1032×associate-/r*
610×fma-def
576×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03354842
16864574
221434332
Stop Event
1×node limit
Counts
142 → 207
Calls
Call 1
Inputs
(+.f64 0 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))) 1)
(*.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2))
(*.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) 1)
(*.f64 1 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) (cbrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (cbrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(*.f64 (cbrt.f64 k) (*.f64 (cbrt.f64 (sqrt.f64 k)) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2)))
(*.f64 (pow.f64 k 1/4) (*.f64 (pow.f64 k 1/4) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) (sqrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(*.f64 (neg.f64 (sqrt.f64 k)) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))
(*.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2) (sqrt.f64 k))
(*.f64 (/.f64 (cbrt.f64 k) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (/.f64 (sqrt.f64 k) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))
(*.f64 (/.f64 1 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4)) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4)))
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 n (PI.f64)))))
(*.f64 (/.f64 (cbrt.f64 k) 1) (/.f64 (cbrt.f64 (sqrt.f64 k)) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (/.f64 (cbrt.f64 k) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 k)) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4)))
(*.f64 (/.f64 (cbrt.f64 k) (sqrt.f64 2)) (/.f64 (cbrt.f64 (sqrt.f64 k)) (sqrt.f64 (*.f64 n (PI.f64)))))
(*.f64 (/.f64 (pow.f64 k 1/4) 1) (/.f64 (pow.f64 k 1/4) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (/.f64 (pow.f64 k 1/4) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (/.f64 (pow.f64 k 1/4) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))
(*.f64 (/.f64 (pow.f64 k 1/4) (sqrt.f64 2)) (/.f64 (pow.f64 k 1/4) (sqrt.f64 (*.f64 n (PI.f64)))))
(pow.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) 1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)) -1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) 3)
(pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) 1/2)
(pow.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) 2)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 k) (neg.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))))
(cbrt.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) 3/2))
(cbrt.f64 (/.f64 (pow.f64 k 3/2) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) 1) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) -1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) 1) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))) 3))
(exp.f64 (*.f64 (log.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) 3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(+.f64 0 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))) 1)
(*.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (pow.f64 k -1/2))
(*.f64 1 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) (cbrt.f64 (*.f64 (pow.f64 k -1) (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 k -1) (*.f64 n (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 k -1/2) (/.f64 1 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 1 (pow.f64 k 1/4)) (/.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (pow.f64 k 1/4)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (sqrt.f64 k)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (cbrt.f64 k)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (pow.f64 k 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (pow.f64 k 1/4)))
(*.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) 1) (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) (sqrt.f64 k)))
(*.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) (pow.f64 k 1/4)) (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) (pow.f64 k 1/4)))
(*.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 k)))
(*.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 n (PI.f64))) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 (sqrt.f64 2) (pow.f64 k 1/4)) (/.f64 (sqrt.f64 (*.f64 n (PI.f64))) (pow.f64 k 1/4)))
(*.f64 (*.f64 (pow.f64 k -1/2) 1) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (*.f64 (pow.f64 k -1/2) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4)) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4))
(*.f64 (*.f64 (pow.f64 k -1/2) (sqrt.f64 2)) (sqrt.f64 (*.f64 n (PI.f64))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 k))) (neg.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(pow.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) -1)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) 3)
(pow.f64 (*.f64 (pow.f64 k -1) (*.f64 n (*.f64 (PI.f64) 2))) 1/2)
(pow.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2) 1/3)
(pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) 2)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) -2)
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))) -1)
(sqrt.f64 (*.f64 (pow.f64 k -1) (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))))
(cbrt.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 3/2) (pow.f64 k 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) 1) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) -1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) -1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))
(+.f64 0 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))) 1)
(*.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1)
(*.f64 1 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4))
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (sqrt.f64 (*.f64 2 n)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1/2))
(*.f64 (pow.f64 (*.f64 2 n) 1/2) (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) 3)
(pow.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 3/2) 1/3)
(pow.f64 (*.f64 4 (pow.f64 (*.f64 n (PI.f64)) 2)) 1/4)
(pow.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))
(cbrt.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 n (*.f64 (PI.f64) 2)))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4)) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
Outputs
(+.f64 0 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))) 1)
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(*.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2))
(*.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) 1)
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(*.f64 1 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) (cbrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))) (cbrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) (cbrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))) (cbrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 k) (*.f64 (cbrt.f64 (sqrt.f64 k)) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2)))
(*.f64 (cbrt.f64 k) (*.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2) (*.f64 (cbrt.f64 k) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (pow.f64 k 1/4) (*.f64 (pow.f64 k 1/4) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2)))
(*.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) (sqrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(*.f64 (neg.f64 (sqrt.f64 k)) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))
(*.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2) (sqrt.f64 k))
(*.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2))
(*.f64 (/.f64 (cbrt.f64 k) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) (/.f64 (cbrt.f64 k) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))) (cbrt.f64 k)) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))) (/.f64 (cbrt.f64 k) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (/.f64 (sqrt.f64 k) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))
(/.f64 (*.f64 1 (/.f64 (sqrt.f64 k) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(/.f64 (/.f64 (sqrt.f64 k) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(/.f64 (sqrt.f64 k) (*.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))
(*.f64 (/.f64 1 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4)) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4)))
(*.f64 (neg.f64 (sqrt.f64 k)) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))
(*.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 n (PI.f64)))))
(/.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 n (PI.f64)))) (sqrt.f64 2))
(/.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 2)) (sqrt.f64 (*.f64 n (PI.f64))))
(*.f64 (/.f64 (cbrt.f64 k) 1) (/.f64 (cbrt.f64 (sqrt.f64 k)) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (cbrt.f64 k) (/.f64 (cbrt.f64 (sqrt.f64 k)) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 (sqrt.f64 k))) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (/.f64 (cbrt.f64 k) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 k)) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4)))
(*.f64 (cbrt.f64 k) (/.f64 (cbrt.f64 (sqrt.f64 k)) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 (sqrt.f64 k))) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (/.f64 (cbrt.f64 k) (sqrt.f64 2)) (/.f64 (cbrt.f64 (sqrt.f64 k)) (sqrt.f64 (*.f64 n (PI.f64)))))
(*.f64 (/.f64 (pow.f64 k 1/4) 1) (/.f64 (pow.f64 k 1/4) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (neg.f64 (sqrt.f64 k)) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))
(*.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (/.f64 (pow.f64 k 1/4) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (/.f64 (pow.f64 k 1/4) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))
(/.f64 (*.f64 1 (/.f64 (sqrt.f64 k) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(/.f64 (/.f64 (sqrt.f64 k) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(/.f64 (sqrt.f64 k) (*.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))
(*.f64 (/.f64 (pow.f64 k 1/4) (sqrt.f64 2)) (/.f64 (pow.f64 k 1/4) (sqrt.f64 (*.f64 n (PI.f64)))))
(*.f64 (/.f64 1 (sqrt.f64 2)) (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 n (PI.f64)))))
(/.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 n (PI.f64)))) (sqrt.f64 2))
(/.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 2)) (sqrt.f64 (*.f64 n (PI.f64))))
(pow.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) 1)
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)) -1)
(/.f64 1 (sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2)))))
(/.f64 1 (sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2))))
(/.f64 1 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k))))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) 3)
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) 1/2)
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(pow.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) 3/2) 1/3)
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) 2)
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)) 1) -1)
(/.f64 1 (sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2)))))
(/.f64 1 (sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2))))
(/.f64 1 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k))))
(neg.f64 (/.f64 (sqrt.f64 k) (neg.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))
(*.f64 (neg.f64 (sqrt.f64 k)) (/.f64 1 (neg.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))
(*.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))))
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(cbrt.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) 3/2))
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(cbrt.f64 (/.f64 (pow.f64 k 3/2) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) 1))
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) 1) 1))
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) -1))
(/.f64 1 (sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2)))))
(/.f64 1 (sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2))))
(/.f64 1 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k))))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) -1) -1))
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) 1) -1))
(/.f64 1 (sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2)))))
(/.f64 1 (sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2))))
(/.f64 1 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))) 3))
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(exp.f64 (*.f64 (log.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) 1/2))
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) 3/2)) 1/3))
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))) 2))
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))
(+.f64 0 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))) 1)
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(*.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (pow.f64 k -1/2))
(*.f64 1 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(*.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)) 1)
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) (cbrt.f64 (*.f64 (pow.f64 k -1) (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))) (cbrt.f64 (*.f64 (*.f64 n (*.f64 (PI.f64) 2)) (/.f64 1 k))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))) (cbrt.f64 (*.f64 n (*.f64 (*.f64 (PI.f64) 2) (/.f64 1 k)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))) (cbrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 k -1) (*.f64 n (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))) (cbrt.f64 (*.f64 (*.f64 n (*.f64 (PI.f64) 2)) (/.f64 1 k))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))) (cbrt.f64 (*.f64 n (*.f64 (*.f64 (PI.f64) 2) (/.f64 1 k)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))) (cbrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))))
(/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (pow.f64 k -1/2))
(*.f64 (pow.f64 k -1/2) (/.f64 1 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2)))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 k))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 k))) (cbrt.f64 k))
(/.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 k) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 1 (pow.f64 k 1/4)) (/.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (pow.f64 k 1/4)))
(/.f64 1 (/.f64 (pow.f64 k 1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (sqrt.f64 k))
(*.f64 (/.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (sqrt.f64 k)))
(*.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (sqrt.f64 k)))
(/.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (/.f64 (sqrt.f64 k) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (cbrt.f64 k)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 k))))
(/.f64 (/.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (cbrt.f64 k)) (/.f64 (cbrt.f64 (sqrt.f64 k)) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))
(/.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (/.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 (sqrt.f64 k))) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (pow.f64 k 1/4)) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (pow.f64 k 1/4)))
(*.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (sqrt.f64 k)))
(/.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (/.f64 (sqrt.f64 k) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) 1) (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) (sqrt.f64 k)))
(*.f64 (/.f64 1 (pow.f64 k 1/4)) (/.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (pow.f64 k 1/4)))
(/.f64 1 (/.f64 (pow.f64 k 1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (sqrt.f64 k))
(*.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 1 (cbrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 k))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 k))) (cbrt.f64 k))
(/.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (*.f64 (cbrt.f64 k) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) (pow.f64 k 1/4)) (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) (pow.f64 k 1/4)))
(*.f64 (/.f64 1 (pow.f64 k 1/4)) (/.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (pow.f64 k 1/4)))
(/.f64 1 (/.f64 (pow.f64 k 1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (sqrt.f64 k))
(*.f64 (/.f64 (sqrt.f64 2) 1) (/.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 k)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 k)))
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 k)) (sqrt.f64 (*.f64 n (PI.f64))))
(*.f64 (/.f64 (sqrt.f64 2) (cbrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 n (PI.f64))) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 (sqrt.f64 2) (pow.f64 k 1/4)) (/.f64 (sqrt.f64 (*.f64 n (PI.f64))) (pow.f64 k 1/4)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 k)))
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 k)) (sqrt.f64 (*.f64 n (PI.f64))))
(*.f64 (*.f64 (pow.f64 k -1/2) 1) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (pow.f64 k -1/2))
(*.f64 (*.f64 (pow.f64 k -1/2) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (*.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (pow.f64 k -1/2)))
(*.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (*.f64 (pow.f64 k -1/2) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))
(*.f64 (*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4)) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4))
(*.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (pow.f64 k -1/2))
(*.f64 (*.f64 (pow.f64 k -1/2) (sqrt.f64 2)) (sqrt.f64 (*.f64 n (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 (sqrt.f64 2) (pow.f64 k -1/2)))
(*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (PI.f64)))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))) (/.f64 1 (cbrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))) (cbrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(/.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))) (cbrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 k))) (neg.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (/.f64 1 (pow.f64 k 1/4)) (/.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (pow.f64 k 1/4)))
(/.f64 1 (/.f64 (pow.f64 k 1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (sqrt.f64 k))
(pow.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) -1)
(/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(pow.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)) 1)
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) 3)
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(pow.f64 (*.f64 (pow.f64 k -1) (*.f64 n (*.f64 (PI.f64) 2))) 1/2)
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(pow.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2) 1/3)
(/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -1/2)
(/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) 2)
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) -2)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)))) -2)
(pow.f64 (pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) 1/4) -2)
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))) -1)
(/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(sqrt.f64 (*.f64 (pow.f64 k -1) (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(cbrt.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2))
(/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(cbrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 3/2) (pow.f64 k 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) -1))
(/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) 1))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) 1) -1))
(/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))) -1) 1))
(/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))) 1) 1))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))) 3))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2)) 1/3))
(/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(exp.f64 (*.f64 (log.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) -1/2))
(/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k)))) 2))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k))))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(+.f64 0 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))) 1)
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(*.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1)
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(*.f64 1 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (sqrt.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (sqrt.f64 (*.f64 2 n)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 n 2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) (sqrt.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(*.f64 (pow.f64 (*.f64 2 n) 1/2) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (*.f64 n 2)))
(pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/2)
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(pow.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1)
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) 3)
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(pow.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 3/2) 1/3)
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(pow.f64 (*.f64 4 (pow.f64 (*.f64 n (PI.f64)) 2)) 1/4)
(pow.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4) 2)
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(fabs.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(cbrt.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 3/2))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(exp.f64 (*.f64 (log.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1/2))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) 1))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1) 1/2))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 n (*.f64 (PI.f64) 2))) 1/2) 1))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) 1) 1))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))) 3))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 n (*.f64 (PI.f64) 2)))) 1/3))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) 1/4)) 2))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))

localize31.0ms (0.3%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.7%
(/.f64 1 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))))
✓99.7%
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))
99.6%
(*.f64 (PI.f64) (*.f64 2 n))
✓99.6%
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))
Compiler

Compiled 67 to 46 computations (31.3% saved)

series14.0ms (0.1%)

Counts
3 → 48
Calls

18 calls:

TimeVariablePointExpression
4.0ms
k
@0
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))
1.0ms
n
@0
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))
1.0ms
k
@0
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))
1.0ms
n
@inf
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))
1.0ms
n
@-inf
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))

rewrite100.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1956×log-prod
672×expm1-udef
672×log1p-udef
392×add-sqr-sqrt
380×pow1
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018125
1389119
25044107
Stop Event
1×node limit
Counts
3 → 114
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2))))
(pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))
(/.f64 1 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (neg.f64 (fma.f64 k -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))) (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 k) (*.f64 (cbrt.f64 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (neg.f64 (fma.f64 k -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 k 1/4) (*.f64 (pow.f64 k 1/4) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (neg.f64 (fma.f64 k -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) (sqrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 k)) (/.f64 1 (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (neg.f64 (fma.f64 k -1/2 1/2))) (sqrt.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2))) (/.f64 (sqrt.f64 k) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 k) 1) (/.f64 (cbrt.f64 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))) (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) (/.f64 (cbrt.f64 (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 k) (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2))) (/.f64 (cbrt.f64 (sqrt.f64 k)) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 k 1/4) 1) (/.f64 (pow.f64 k 1/4) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 k 1/4) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))) (/.f64 (pow.f64 k 1/4) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 k 1/4) (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2))) (/.f64 (pow.f64 k 1/4) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) k))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 k) (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 k 3/2) (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 k -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)) (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (fma.f64 k -1/2 1/2)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) (fma.f64 k -1/2 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (fma.f64 k -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (fma.f64 k -1/2 1/2)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (fma.f64 k -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) 2) (fma.f64 k -1/2 1/2)) (pow.f64 n (fma.f64 k -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) k) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) k)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 k -1/2 1/2) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 k -1/2 1/2) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (pow.f64 k -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) -2)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 k -1/2) (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (neg.f64 (fma.f64 k -1/2 1/2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))) -1) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) -1) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (cbrt.f64 (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 k 1/4)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (pow.f64 k 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2)))) 1) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2)))) (cbrt.f64 k)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (cbrt.f64 (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2)))) (pow.f64 k 1/4)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (pow.f64 k 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) 1) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (cbrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (cbrt.f64 (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (pow.f64 k 1/4)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (pow.f64 k 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)) 1) (/.f64 (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)) (cbrt.f64 k)) (/.f64 (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)) (cbrt.f64 (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)) (pow.f64 k 1/4)) (/.f64 (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)) (pow.f64 k 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 k -1/2) 1) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 k -1/2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 k -1/2) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 k -1/2) (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2))) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (sqrt.f64 k))) (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) 3) (pow.f64 k 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))))))

simplify104.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
1540×fma-def
1202×associate-/r*
1106×unswap-sqr
344×log-prod
342×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03539170
18107916
229197626
Stop Event
1×node limit
Counts
162 → 228
Calls
Call 1
Inputs
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))) (*.f64 1/8 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (sqrt.f64 (*.f64 n (PI.f64)))))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))) (+.f64 (*.f64 1/8 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 -1/48 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))) (sqrt.f64 (*.f64 n (PI.f64))))))))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1/2 (*.f64 1/2 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1/2 (*.f64 1/2 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1/2 (*.f64 1/2 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1/2 (*.f64 1/2 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1/2 (*.f64 -1/2 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1/2 (*.f64 -1/2 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1/2 (*.f64 -1/2 k)))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1/2 (*.f64 -1/2 k)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k)))))
(+.f64 0 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))) 1)
(*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (neg.f64 (fma.f64 k -1/2 1/2))))
(*.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) 1)
(*.f64 1 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))))
(*.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))) (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (cbrt.f64 k) (*.f64 (cbrt.f64 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (neg.f64 (fma.f64 k -1/2 1/2)))))
(*.f64 (pow.f64 k 1/4) (*.f64 (pow.f64 k 1/4) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (neg.f64 (fma.f64 k -1/2 1/2)))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) (sqrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (neg.f64 (sqrt.f64 k)) (/.f64 1 (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (neg.f64 (fma.f64 k -1/2 1/2))) (sqrt.f64 k))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (/.f64 1 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2))) (/.f64 (sqrt.f64 k) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2))))
(*.f64 (/.f64 (cbrt.f64 k) 1) (/.f64 (cbrt.f64 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(*.f64 (/.f64 (cbrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))) (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (/.f64 (cbrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) (/.f64 (cbrt.f64 (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (/.f64 (cbrt.f64 k) (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2))) (/.f64 (cbrt.f64 (sqrt.f64 k)) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2))))
(*.f64 (/.f64 (pow.f64 k 1/4) 1) (/.f64 (pow.f64 k 1/4) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(*.f64 (/.f64 (pow.f64 k 1/4) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))) (/.f64 (pow.f64 k 1/4) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (/.f64 (pow.f64 k 1/4) (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2))) (/.f64 (pow.f64 k 1/4) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2))))
(*.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) k))
(pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) 1)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)) -1)
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) 3)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) 2)
(neg.f64 (/.f64 (sqrt.f64 k) (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2)))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) 3))
(cbrt.f64 (/.f64 (pow.f64 k 3/2) (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) 1))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(+.f64 0 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) 1)
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) 1)
(*.f64 1 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 k -1/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) k)))
(*.f64 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)))
(*.f64 (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)) (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(*.f64 (pow.f64 1 (fma.f64 k -1/2 1/2)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) (fma.f64 k -1/2 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (fma.f64 k -1/2 1/2)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (fma.f64 k -1/2 1/2)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (fma.f64 k -1/2 1/2)))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) (fma.f64 k -1/2 1/2)) (pow.f64 n (fma.f64 k -1/2 1/2)))
(/.f64 1 (/.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) k) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) k))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) k)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))
(log.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(exp.f64 (*.f64 (fma.f64 k -1/2 1/2) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(exp.f64 (*.f64 (*.f64 (fma.f64 k -1/2 1/2) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(+.f64 0 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))) 1)
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (pow.f64 k -1/2))
(*.f64 1 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))
(*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)) 1)
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) -2)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))
(*.f64 (pow.f64 k -1/2) (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (neg.f64 (fma.f64 k -1/2 1/2))) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))) -1) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) -1) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) -1))
(*.f64 (/.f64 1 (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 1 (pow.f64 k 1/4)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (pow.f64 k 1/4)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2)))) 1) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (sqrt.f64 k)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2)))) (cbrt.f64 k)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2)))) (pow.f64 k 1/4)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (pow.f64 k 1/4)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) 1) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (sqrt.f64 k)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (cbrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (pow.f64 k 1/4)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (pow.f64 k 1/4)))
(*.f64 (/.f64 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)) 1) (/.f64 (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))
(*.f64 (/.f64 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)) (cbrt.f64 k)) (/.f64 (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)) (pow.f64 k 1/4)) (/.f64 (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)) (pow.f64 k 1/4)))
(*.f64 (*.f64 (pow.f64 k -1/2) 1) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))
(*.f64 (*.f64 (pow.f64 k -1/2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(*.f64 (*.f64 (pow.f64 k -1/2) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(*.f64 (*.f64 (pow.f64 k -1/2) (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2))) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 k))) (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) -1)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)) 1)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))) 2)
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) -2))
(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) 3) (pow.f64 k 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))) 1))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))
Outputs
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (pow.f64 (/.f64 -1 n) -1) (*.f64 (PI.f64) -2)) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (pow.f64 (/.f64 -1 n) -1) (*.f64 (PI.f64) -2)) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (pow.f64 (/.f64 -1 n) -1) (*.f64 (PI.f64) -2)) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 k) (/.f64 1 (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (pow.f64 (/.f64 -1 n) -1) (*.f64 (PI.f64) -2)) (fma.f64 k -1/2 1/2)))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))) (fma.f64 k -1/2 1/2)))
(pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))
(pow.f64 (*.f64 (pow.f64 (/.f64 -1 n) -1) (*.f64 (PI.f64) -2)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))) (fma.f64 k -1/2 1/2)))
(pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))
(pow.f64 (*.f64 (pow.f64 (/.f64 -1 n) -1) (*.f64 (PI.f64) -2)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))) (fma.f64 k -1/2 1/2)))
(pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))
(pow.f64 (*.f64 (pow.f64 (/.f64 -1 n) -1) (*.f64 (PI.f64) -2)) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k))))
(exp.f64 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))) (fma.f64 k -1/2 1/2)))
(pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n))))
(pow.f64 (*.f64 (pow.f64 (/.f64 -1 n) -1) (*.f64 (PI.f64) -2)) (fma.f64 k -1/2 1/2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64))))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (+.f64 (sqrt.f64 2) (*.f64 -1/2 (*.f64 k (*.f64 (log.f64 (*.f64 n (*.f64 2 (PI.f64)))) (sqrt.f64 2))))))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (fma.f64 -1/2 (*.f64 (log.f64 (*.f64 n (*.f64 2 (PI.f64)))) (*.f64 k (sqrt.f64 2))) (sqrt.f64 2)))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))) (*.f64 1/8 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (sqrt.f64 (*.f64 n (PI.f64)))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64))))) (sqrt.f64 (*.f64 n (PI.f64))))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 1/8 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 k k) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (sqrt.f64 (*.f64 n (PI.f64))))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 k (log.f64 (*.f64 n (*.f64 2 (PI.f64))))))) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (+.f64 (sqrt.f64 2) (*.f64 (*.f64 1/8 (*.f64 (sqrt.f64 2) (*.f64 k k))) (pow.f64 (log.f64 (*.f64 n (*.f64 2 (PI.f64)))) 2)))))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (+.f64 (fma.f64 -1/2 (*.f64 (log.f64 (*.f64 n (*.f64 2 (PI.f64)))) (*.f64 k (sqrt.f64 2))) (sqrt.f64 2)) (*.f64 (*.f64 1/8 (*.f64 (sqrt.f64 2) (*.f64 k k))) (pow.f64 (log.f64 (*.f64 n (*.f64 2 (PI.f64)))) 2))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))) (sqrt.f64 (*.f64 n (PI.f64))))) (+.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))) (+.f64 (*.f64 1/8 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 2) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2))) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 -1/48 (*.f64 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))) (sqrt.f64 (*.f64 n (PI.f64))))))))
(fma.f64 -1/2 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 k (log.f64 (*.f64 2 (*.f64 n (PI.f64))))) (sqrt.f64 (*.f64 n (PI.f64))))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64))) (fma.f64 1/8 (*.f64 (sqrt.f64 2) (*.f64 (*.f64 (*.f64 k k) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2)) (sqrt.f64 (*.f64 n (PI.f64))))) (*.f64 -1/48 (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 3) (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3))))))))
(+.f64 (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (+.f64 (sqrt.f64 2) (*.f64 -1/2 (*.f64 k (*.f64 (log.f64 (*.f64 n (*.f64 2 (PI.f64)))) (sqrt.f64 2)))))) (*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (+.f64 (*.f64 (*.f64 1/8 (*.f64 (sqrt.f64 2) (*.f64 k k))) (pow.f64 (log.f64 (*.f64 n (*.f64 2 (PI.f64)))) 2)) (*.f64 -1/48 (*.f64 (sqrt.f64 2) (*.f64 (pow.f64 k 3) (pow.f64 (log.f64 (*.f64 n (*.f64 2 (PI.f64)))) 3)))))))
(*.f64 (sqrt.f64 (*.f64 n (PI.f64))) (+.f64 (fma.f64 -1/2 (*.f64 (log.f64 (*.f64 n (*.f64 2 (PI.f64)))) (*.f64 k (sqrt.f64 2))) (sqrt.f64 2)) (*.f64 (sqrt.f64 2) (+.f64 (*.f64 1/8 (*.f64 k (*.f64 k (pow.f64 (log.f64 (*.f64 n (*.f64 2 (PI.f64)))) 2)))) (*.f64 -1/48 (*.f64 (pow.f64 k 3) (pow.f64 (log.f64 (*.f64 n (*.f64 2 (PI.f64)))) 3)))))))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1/2 (*.f64 1/2 k)))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1/2 (*.f64 1/2 k)))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1/2 (*.f64 1/2 k)))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1/2 (*.f64 1/2 k)))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1/2 (*.f64 -1/2 k)))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1/2 (*.f64 -1/2 k)))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1/2 (*.f64 -1/2 k)))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1/2 (*.f64 -1/2 k)))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (exp.f64 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))) (fma.f64 k -1/2 1/2))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 n) -1) (*.f64 (PI.f64) -2)) (fma.f64 k -1/2 1/2)) (sqrt.f64 (/.f64 1 k)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (exp.f64 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))) (fma.f64 k -1/2 1/2))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 n) -1) (*.f64 (PI.f64) -2)) (fma.f64 k -1/2 1/2)) (sqrt.f64 (/.f64 1 k)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (exp.f64 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))) (fma.f64 k -1/2 1/2))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 n) -1) (*.f64 (PI.f64) -2)) (fma.f64 k -1/2 1/2)) (sqrt.f64 (/.f64 1 k)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (exp.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))) (-.f64 1/2 (*.f64 1/2 k)))))
(*.f64 (exp.f64 (*.f64 (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))) (fma.f64 k -1/2 1/2))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (pow.f64 (exp.f64 (fma.f64 k -1/2 1/2)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 -1 n) -1) (*.f64 (PI.f64) -2)) (fma.f64 k -1/2 1/2)) (sqrt.f64 (/.f64 1 k)))
(+.f64 0 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2))))) (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))) 1)
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (neg.f64 (fma.f64 k -1/2 1/2))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) 1)
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 1 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)))) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2))))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2))))))
(*.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))) (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)))) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2))))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2))))))
(*.f64 (cbrt.f64 k) (*.f64 (cbrt.f64 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (neg.f64 (fma.f64 k -1/2 1/2)))))
(*.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (neg.f64 (fma.f64 k -1/2 1/2))))
(*.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (+.f64 -1/2 (*.f64 k 1/2))) (*.f64 (cbrt.f64 k) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (+.f64 (*.f64 k 1/2) -1/2)) (*.f64 (cbrt.f64 k) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (pow.f64 k 1/4) (*.f64 (pow.f64 k 1/4) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (neg.f64 (fma.f64 k -1/2 1/2)))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) (sqrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (neg.f64 (sqrt.f64 k)) (/.f64 1 (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (neg.f64 (fma.f64 k -1/2 1/2))) (sqrt.f64 k))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2))))) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)))))
(/.f64 (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2)))))
(/.f64 (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2))))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))))
(*.f64 (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (/.f64 1 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2))) (/.f64 (sqrt.f64 k) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2))))
(/.f64 (/.f64 (sqrt.f64 k) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2))) (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)))
(*.f64 (/.f64 (cbrt.f64 k) 1) (/.f64 (cbrt.f64 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(/.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)))
(/.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (/.f64 (cbrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))) (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)))) (/.f64 (cbrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2))))))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))) (/.f64 (cbrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2))))))
(*.f64 (/.f64 (cbrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) (/.f64 (cbrt.f64 (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(/.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)))
(/.f64 (*.f64 (cbrt.f64 k) (cbrt.f64 (sqrt.f64 k))) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (/.f64 (cbrt.f64 k) (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2))) (/.f64 (cbrt.f64 (sqrt.f64 k)) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2))))
(/.f64 (/.f64 (cbrt.f64 k) (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2))) (/.f64 (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 (pow.f64 k 1/4) 1) (/.f64 (pow.f64 k 1/4) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(*.f64 (/.f64 (pow.f64 k 1/4) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))) (/.f64 (pow.f64 k 1/4) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2))))) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)))))
(/.f64 (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2)))))
(/.f64 (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2))))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))))
(*.f64 (/.f64 (pow.f64 k 1/4) (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2))) (/.f64 (pow.f64 k 1/4) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2))))
(*.f64 (/.f64 1 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2))) (/.f64 (sqrt.f64 k) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2))))
(/.f64 (/.f64 (sqrt.f64 k) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2))) (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)))
(*.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) k))
(*.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))) (pow.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) k))
(*.f64 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 n (*.f64 2 (PI.f64))))) (pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 (PI.f64)))) k))
(pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) 1)
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)) -1)
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) 3)
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) 3) 1/3)
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) 2)
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(neg.f64 (/.f64 (sqrt.f64 k) (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2)))))
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2)))))
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2)))))
(log.f64 (exp.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) 3))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(cbrt.f64 (/.f64 (pow.f64 k 3/2) (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 k 3/2) (pow.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) 3)))
(cbrt.f64 (/.f64 (pow.f64 k 3/2) (pow.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(exp.f64 (log.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) 1))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(log1p.f64 (expm1.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(*.f64 (sqrt.f64 k) (exp.f64 (neg.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))))
(/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))
(+.f64 0 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) 1)
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) 1)
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(*.f64 1 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2)))) (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2)))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2)))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2)))) (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2)))) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 k -1/2)))
(*.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 k -1/2)))
(*.f64 (sqrt.f64 (*.f64 n (*.f64 2 (PI.f64)))) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (*.f64 k -1/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) k)))
(*.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) k)))
(/.f64 (sqrt.f64 (*.f64 n (*.f64 2 (PI.f64)))) (pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 (PI.f64)))) k))
(*.f64 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)))
(*.f64 (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)) (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)))
(*.f64 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(*.f64 (pow.f64 1 (fma.f64 k -1/2 1/2)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) 2) (fma.f64 k -1/2 1/2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (fma.f64 k -1/2 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (fma.f64 k -1/2 1/2)) (pow.f64 (cbrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (fma.f64 k -1/2 1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 2 (PI.f64)))) 2) (fma.f64 k -1/2 1/2)) (pow.f64 (cbrt.f64 (*.f64 n (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (fma.f64 k -1/2 1/2)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (fma.f64 k -1/2 1/2)))
(pow.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (*.f64 2 (fma.f64 k -1/2 1/2)))
(pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 (PI.f64)))) (*.f64 2 (fma.f64 k -1/2 1/2)))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) (fma.f64 k -1/2 1/2)) (pow.f64 n (fma.f64 k -1/2 1/2)))
(*.f64 (pow.f64 (*.f64 2 (PI.f64)) (fma.f64 k -1/2 1/2)) (pow.f64 n (fma.f64 k -1/2 1/2)))
(/.f64 1 (/.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) k) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(*.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) k)))
(/.f64 (sqrt.f64 (*.f64 n (*.f64 2 (PI.f64)))) (pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 (PI.f64)))) k))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) k))
(*.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) k)))
(/.f64 (sqrt.f64 (*.f64 n (*.f64 2 (PI.f64)))) (pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 (PI.f64)))) k))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) (neg.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) k)))
(*.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) (/.f64 1 (pow.f64 (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64)))) k)))
(/.f64 (sqrt.f64 (*.f64 n (*.f64 2 (PI.f64)))) (pow.f64 (sqrt.f64 (*.f64 n (*.f64 2 (PI.f64)))) k))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(log.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) 3))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 (fma.f64 k -1/2 1/2) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(exp.f64 (*.f64 (*.f64 (fma.f64 k -1/2 1/2) (log.f64 (*.f64 (PI.f64) (+.f64 n n)))) 1))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(exp.f64 (*.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))) (fma.f64 k -1/2 1/2)))
(pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))
(+.f64 0 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))) (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))) 1)
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (pow.f64 k -1/2))
(*.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (pow.f64 k -1/2))
(*.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (pow.f64 k -1/2))
(*.f64 1 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)) 1)
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) -2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2))) -2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) -2)) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2))) -2)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))) -2)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))
(*.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (pow.f64 k -1/2))
(*.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (pow.f64 k -1/2))
(*.f64 (pow.f64 k -1/2) (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (neg.f64 (fma.f64 k -1/2 1/2))) -1))
(*.f64 (pow.f64 k -1/2) (/.f64 1 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (neg.f64 (fma.f64 k -1/2 1/2)))))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (+.f64 -1/2 (*.f64 k 1/2))))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (+.f64 (*.f64 k 1/2) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))) -1) (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) -1))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2)))))) (/.f64 1 (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2))))))
(*.f64 (/.f64 1 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2)))))) (/.f64 1 (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))))))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2)))))) (cbrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) -1) (pow.f64 (sqrt.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) -1))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(*.f64 (/.f64 1 (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 1 (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (cbrt.f64 (sqrt.f64 k))))
(/.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (cbrt.f64 (sqrt.f64 k))) (cbrt.f64 k))
(*.f64 (/.f64 1 (pow.f64 k 1/4)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (pow.f64 k 1/4)))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2)))) 1) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (sqrt.f64 k)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2))) (sqrt.f64 k)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2)))) (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))) (sqrt.f64 k)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2)))) (cbrt.f64 k)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2)))) (cbrt.f64 k)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2))) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2)))) (cbrt.f64 k)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2)))) (pow.f64 k 1/4)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (pow.f64 k 1/4)))
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2)))) (pow.f64 k 1/4)) (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)))) (pow.f64 k 1/4))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2)))) (pow.f64 k 1/4)) (/.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))) (pow.f64 k 1/4)))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) 1) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (sqrt.f64 k)))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (cbrt.f64 k)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 1 (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (cbrt.f64 (sqrt.f64 k))))
(/.f64 (/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (cbrt.f64 (sqrt.f64 k))) (cbrt.f64 k))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (pow.f64 k 1/4)) (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) (pow.f64 k 1/4)))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(*.f64 (/.f64 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)) 1) (/.f64 (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))
(*.f64 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)) (/.f64 (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))
(/.f64 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)) (/.f64 (sqrt.f64 k) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2))))
(*.f64 (/.f64 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)) (cbrt.f64 k)) (/.f64 (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)) (cbrt.f64 (sqrt.f64 k))))
(*.f64 (/.f64 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)) (pow.f64 k 1/4)) (/.f64 (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)) (pow.f64 k 1/4)))
(*.f64 (*.f64 (pow.f64 k -1/2) 1) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))
(*.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (pow.f64 k -1/2))
(*.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (pow.f64 k -1/2))
(*.f64 (*.f64 (pow.f64 k -1/2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 2 (fma.f64 k -1/2 1/2))))) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2)))) (pow.f64 k -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2)))) (pow.f64 k -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (*.f64 2 (fma.f64 k -1/2 1/2)))) (*.f64 (pow.f64 k -1/2) (cbrt.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)))))
(*.f64 (*.f64 (pow.f64 k -1/2) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(*.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (pow.f64 k -1/2))
(*.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (pow.f64 k -1/2))
(*.f64 (*.f64 (pow.f64 k -1/2) (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2))) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)))
(*.f64 (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2)) (*.f64 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)) (pow.f64 k -1/2)))
(*.f64 (pow.f64 (PI.f64) (fma.f64 k -1/2 1/2)) (*.f64 (pow.f64 k -1/2) (pow.f64 (+.f64 n n) (fma.f64 k -1/2 1/2))))
(*.f64 (/.f64 1 (neg.f64 (sqrt.f64 k))) (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) -1)
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)) 1)
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))) 3)
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)) 3) 1/3)
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))) 2)
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2))) -2))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(log.f64 (exp.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)))))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k)) 3))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) 3) (pow.f64 k 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) 3) (pow.f64 k 3/2)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) 3) (pow.f64 k 3/2)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(exp.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)))) -1))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))) 1))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))))
(/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))
(/.f64 (pow.f64 (*.f64 n (*.f64 2 (PI.f64))) (fma.f64 k -1/2 1/2)) (sqrt.f64 k))

localize24.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
99.8%
(pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))
99.6%
(*.f64 (PI.f64) (+.f64 n n))
✓99.5%
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3/2)
✓82.8%
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
Compiler

Compiled 64 to 28 computations (56.3% saved)

series105.0ms (0.9%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
60.0ms
n
@0
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3/2)
17.0ms
n
@-inf
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3/2)
17.0ms
n
@inf
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3/2)
3.0ms
k
@0
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3/2)
1.0ms
n
@0
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))

rewrite86.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1586×log-prod
1192×prod-diff
568×expm1-udef
566×log1p-udef
458×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01680
134874
2473074
Stop Event
1×node limit
Counts
2 → 56
Calls
Call 1
Inputs
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (/.f64 1 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 (/.f64 1 k) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 (cbrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cbrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (cbrt.f64 (neg.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (neg.f64 (cbrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 (/.f64 1 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3/2) (pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (sqrt.f64 (neg.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))))

simplify92.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
846×associate-+l+
646×associate-*r*
608×associate-*l*
574×exp-prod
490×exp-sum
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01734310
13334074
28923318
338113208
Stop Event
1×node limit
Counts
80 → 91
Calls
Call 1
Inputs
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/3)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/3)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/3)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/3)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/3)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/3)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/3)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/3)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k) 1/3)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k) 1/3)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k) 1/3)
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k) 1/3)
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(+.f64 0 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) 1)
(*.f64 1 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (/.f64 1 k)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 (/.f64 1 k) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 (cbrt.f64 k)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(/.f64 1 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(/.f64 1 (/.f64 (cbrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 k))
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (cbrt.f64 (neg.f64 k)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (neg.f64 (cbrt.f64 k)))
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(+.f64 0 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (pow.f64 1 3/2) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3/2) (pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3/2))
(/.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (sqrt.f64 (neg.f64 k)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(fabs.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
Outputs
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) k))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -2) (/.f64 -1 n)) (-.f64 1 k)) k))
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) k))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -2) (/.f64 -1 n)) (-.f64 1 k)) k))
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) k))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -2) (/.f64 -1 n)) (-.f64 1 k)) k))
(pow.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) k))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -2) (/.f64 -1 n)) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -2) (/.f64 -1 n)) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -2) (/.f64 -1 n)) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -2) (/.f64 -1 n)) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (-.f64 (log.f64 (*.f64 (PI.f64) -2)) (log.f64 (/.f64 -1 n)))) k))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -2) (/.f64 -1 n)) (-.f64 1 k)) k))
(+.f64 0 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) 1)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(*.f64 1 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (/.f64 1 k)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (cbrt.f64 (/.f64 1 k)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (pow.f64 (/.f64 1 k) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 (/.f64 1 k)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (cbrt.f64 (/.f64 1 k)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 (cbrt.f64 k)))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (cbrt.f64 k))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 2))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 2) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(/.f64 1 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(/.f64 1 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))))
(/.f64 1 (/.f64 (cbrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 (cbrt.f64 k)))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (cbrt.f64 k))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (cbrt.f64 k))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 (cbrt.f64 k)))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (cbrt.f64 k))
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (cbrt.f64 (neg.f64 k)))
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))) (cbrt.f64 (neg.f64 k)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (neg.f64 (cbrt.f64 k)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (/.f64 1 (cbrt.f64 k)))
(/.f64 (cbrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (cbrt.f64 k))
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 2)
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 2))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1/3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(+.f64 0 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))) 1)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(*.f64 1 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k) 1/6) 3)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k)) 3/2)
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 1)
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k) 1/6) 3)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k)) 3/2)
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 (/.f64 1 k)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))))
(*.f64 (pow.f64 1 3/2) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))) 2) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))) 3/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k) 1/6) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))) 2) 3/2))
(*.f64 (pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3/2) (pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3/2))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k) 1/6) 3)
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k)) 3/2)
(/.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(/.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k))) (sqrt.f64 k))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))) (sqrt.f64 (neg.f64 k)))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))) (sqrt.f64 (neg.f64 k)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(fabs.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 1))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (-.f64 1 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)) k))

eval296.0ms (2.5%)

Compiler

Compiled 17459 to 10951 computations (37.3% saved)

prune218.0ms (1.8%)

Pruning

39 alts after pruning (35 fresh and 4 done)

PrunedKeptTotal
New88726913
Fresh3912
Picked011
Done235
Total89239931
Accurracy
100.0%
Counts
931 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.8%
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) 2)
78.2%
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3)
45.0%
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3)
32.3%
(pow.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2) 1/3)
22.2%
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3) 1/6)
▶32.3%
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 1/3)
45.0%
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6) 3)
▶50.0%
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
✓81.6%
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3/2)
48.4%
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 3/2)
66.2%
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2))
▶66.2%
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
49.8%
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (/.f64 k n)))
✓99.4%
(/.f64 1 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))))
✓66.1%
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
48.8%
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))))
49.9%
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
▶83.1%
(/.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
49.9%
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))
66.2%
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
66.1%
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 k)) (sqrt.f64 (*.f64 n (PI.f64))))
48.6%
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k n))) (sqrt.f64 (PI.f64)))
48.6%
(*.f64 (sqrt.f64 (*.f64 n (/.f64 2 k))) (sqrt.f64 (PI.f64)))
48.6%
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) (sqrt.f64 (PI.f64)))
81.7%
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -2) (/.f64 -1 n)) (-.f64 1 k)) k))
✓82.1%
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
82.3%
(sqrt.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k)) k))
48.8%
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
48.9%
(sqrt.f64 (/.f64 (*.f64 2 (PI.f64)) (/.f64 k n)))
78.9%
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))) k))
48.9%
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
48.9%
(sqrt.f64 (/.f64 2 (/.f64 (/.f64 k n) (PI.f64))))
48.9%
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
48.8%
(sqrt.f64 (*.f64 (*.f64 (/.f64 2 k) n) (PI.f64)))
48.8%
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
▶48.9%
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
46.6%
(exp.f64 (*.f64 (log.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) -1/2))
34.5%
(cbrt.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2))
34.6%
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2))
Compiler

Compiled 931 to 744 computations (20.1% saved)

localize20.0ms (0.2%)

Local Accuracy

Found 4 expressions with local accuracy:

NewAccuracyProgram
✓99.8%
(/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))
✓99.7%
(/.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
99.6%
(*.f64 (PI.f64) (+.f64 n n))
✓84.4%
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
Compiler

Compiled 63 to 27 computations (57.1% saved)

series14.0ms (0.1%)

Counts
3 → 48
Calls

18 calls:

TimeVariablePointExpression
4.0ms
n
@0
(/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))
2.0ms
k
@0
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
1.0ms
k
@-inf
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
1.0ms
k
@-inf
(/.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
1.0ms
k
@inf
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))

rewrite155.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1592×log-prod
1192×prod-diff
554×expm1-udef
552×log1p-udef
444×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
015113
1331107
24630107
Stop Event
1×node limit
Counts
3 → 111
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k))))
(/.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (neg.f64 (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 k) (pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (neg.f64 (-.f64 1 k))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 k) (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (neg.f64 k)) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sqrt.f64 k)) (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))) (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) -1) (pow.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) (cbrt.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (neg.f64 (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 2)) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 k) 2) (*.f64 (cbrt.f64 k) (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (neg.f64 (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) (*.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 k) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (neg.f64 (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 k) (/.f64 1 (neg.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (neg.f64 (-.f64 1 k))) k)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4)) (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (/.f64 0 0) (pow.f64 (PI.f64) 2)) (-.f64 1 k)))) (/.f64 k (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (/.f64 k (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (PI.f64) (-.f64 1 k))) (/.f64 k (pow.f64 (/.f64 0 0) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 k) 2) 1) (/.f64 (cbrt.f64 k) (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 k) 2) (cbrt.f64 (pow.f64 (*.f64 (/.f64 0 0) (pow.f64 (PI.f64) 2)) (-.f64 1 k)))) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 k) 2) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (/.f64 (cbrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 k) 2) (pow.f64 (PI.f64) (-.f64 1 k))) (/.f64 (cbrt.f64 k) (pow.f64 (/.f64 0 0) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 k) 1) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (/.f64 0 0) (pow.f64 (PI.f64) 2)) (-.f64 1 k)))) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 k) (pow.f64 (PI.f64) (-.f64 1 k))) (/.f64 (sqrt.f64 k) (pow.f64 (/.f64 0 0) (-.f64 1 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 k (*.f64 (PI.f64) (/.f64 0 0))) (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) k))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 k (neg.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 k 3) (pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))))

simplify122.0ms (1%)

Algorithm
1×egg-herbie
Rules
122×*-commutative
84×sqr-pow
42×+-commutative
40×associate-*r/
28×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03287193
17667193
Stop Event
1×unsound
Counts
159 → 189
Calls
Call 1
Inputs
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 k 2) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))) (*.f64 n (PI.f64)))) (*.f64 1/2 (/.f64 k (*.f64 n (PI.f64)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 k 3) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 n (PI.f64)))) (*.f64 1/4 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 n (PI.f64))))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 k 2) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))) (*.f64 n (PI.f64)))) (*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 k 3) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 n (PI.f64)))) (*.f64 1/4 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 n (PI.f64))))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 k 2) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))) (*.f64 n (PI.f64)))) (+.f64 (*.f64 1/2 (/.f64 k (*.f64 n (PI.f64)))) (*.f64 -1 (*.f64 (pow.f64 k 4) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3) (*.f64 n (PI.f64)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3) (*.f64 n (PI.f64)))) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 n (PI.f64)))) (*.f64 1/4 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 n (PI.f64))))) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))))))))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k))))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k))))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k))))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(+.f64 0 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))) 1)
(*.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))
(*.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4))
(*.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (neg.f64 (-.f64 1 k)))))
(*.f64 (sqrt.f64 k) (pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (neg.f64 (-.f64 1 k))) 1/2))
(*.f64 (sqrt.f64 k) (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 1/2))
(/.f64 1 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))
(/.f64 1 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) (sqrt.f64 k)))
(/.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 1)
(/.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))
(/.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))
(/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) -1)
(/.f64 (sqrt.f64 (neg.f64 k)) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(/.f64 (neg.f64 (sqrt.f64 k)) (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/2)
(pow.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) 3)
(pow.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) 2)
(fabs.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))
(cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))
(exp.f64 (*.f64 (log.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))
(+.f64 0 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))) (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) -1))
(*.f64 (pow.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) -1) (pow.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) -1))
(*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))
(pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) -1/2)
(pow.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) -1)
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)) 3) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))) 2)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))
(+.f64 0 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) (cbrt.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) 1)
(*.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (neg.f64 (-.f64 1 k))))
(*.f64 1 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))
(*.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1)
(*.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 2)))
(*.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 2)) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (pow.f64 (cbrt.f64 k) 2) (*.f64 (cbrt.f64 k) (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (neg.f64 (-.f64 1 k)))))
(*.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) (*.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))
(*.f64 (sqrt.f64 k) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (neg.f64 (-.f64 1 k)))))
(*.f64 (neg.f64 k) (/.f64 1 (neg.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (neg.f64 (-.f64 1 k))) k)
(*.f64 (*.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4)) (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (/.f64 0 0) (pow.f64 (PI.f64) 2)) (-.f64 1 k)))) (/.f64 k (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (/.f64 k (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (/.f64 1 (pow.f64 (PI.f64) (-.f64 1 k))) (/.f64 k (pow.f64 (/.f64 0 0) (-.f64 1 k))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 k) 2) 1) (/.f64 (cbrt.f64 k) (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 k) 2) (cbrt.f64 (pow.f64 (*.f64 (/.f64 0 0) (pow.f64 (PI.f64) 2)) (-.f64 1 k)))) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 k) 2) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (/.f64 (cbrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 k) 2) (pow.f64 (PI.f64) (-.f64 1 k))) (/.f64 (cbrt.f64 k) (pow.f64 (/.f64 0 0) (-.f64 1 k))))
(*.f64 (/.f64 (sqrt.f64 k) 1) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))
(*.f64 (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (/.f64 0 0) (pow.f64 (PI.f64) 2)) (-.f64 1 k)))) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (/.f64 (sqrt.f64 k) (pow.f64 (PI.f64) (-.f64 1 k))) (/.f64 (sqrt.f64 k) (pow.f64 (/.f64 0 0) (-.f64 1 k))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))
(*.f64 (/.f64 k (*.f64 (PI.f64) (/.f64 0 0))) (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) k))
(pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1)
(pow.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 2)
(pow.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 3)
(pow.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 3) 1/3)
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k) -1)
(neg.f64 (/.f64 k (neg.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(sqrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 2))
(log.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))
(cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 3))
(cbrt.f64 (/.f64 (pow.f64 k 3) (pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) 3)))
(expm1.f64 (log1p.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(exp.f64 (log.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(exp.f64 (*.f64 (log.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 1))
(log1p.f64 (expm1.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
Outputs
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64)))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64)))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64)))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64)))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))))))
(sqrt.f64 (/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64))))))))
(sqrt.f64 (/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2))))))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))) k))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))) k))
(sqrt.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))) k))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 k 2) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))) (*.f64 n (PI.f64)))) (*.f64 1/2 (/.f64 k (*.f64 n (PI.f64)))))
(*.f64 1/2 (+.f64 (*.f64 (/.f64 (*.f64 k k) n) (/.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (PI.f64))) (/.f64 k (*.f64 n (PI.f64)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 k 3) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 n (PI.f64)))) (*.f64 1/4 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 n (PI.f64))))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 k 2) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))) (*.f64 n (PI.f64)))) (*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))))
(fma.f64 -1 (*.f64 (pow.f64 k 3) (*.f64 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 n (PI.f64))) -1/4)) (*.f64 1/2 (+.f64 (*.f64 (/.f64 (*.f64 k k) n) (/.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (PI.f64))) (/.f64 k (*.f64 n (PI.f64))))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 k 3) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 n (PI.f64)))) (*.f64 1/4 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 n (PI.f64))))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 k 2) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))) (*.f64 n (PI.f64)))) (+.f64 (*.f64 1/2 (/.f64 k (*.f64 n (PI.f64)))) (*.f64 -1 (*.f64 (pow.f64 k 4) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3) (*.f64 n (PI.f64)))) (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3) (*.f64 n (PI.f64)))) (*.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 n (PI.f64)))) (*.f64 1/4 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 n (PI.f64))))) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))))))))
(fma.f64 -1 (*.f64 (pow.f64 k 3) (*.f64 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 n (PI.f64))) -1/4)) (fma.f64 1/2 (*.f64 (/.f64 (*.f64 k k) n) (/.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (PI.f64))) (fma.f64 1/2 (/.f64 k (*.f64 n (PI.f64))) (neg.f64 (*.f64 (pow.f64 k 4) (fma.f64 -1/12 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3) (*.f64 n (PI.f64))) (fma.f64 1/4 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 3) (*.f64 n (PI.f64))) (*.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) (*.f64 (/.f64 (pow.f64 (log.f64 (*.f64 2 (*.f64 n (PI.f64)))) 2) (*.f64 n (PI.f64))) -1/4)))))))))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (neg.f64 k)))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (neg.f64 k)))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (neg.f64 k)))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (-.f64 1 k)))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (neg.f64 k)))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k))))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (neg.f64 k)))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k))))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (neg.f64 k)))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k))))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (neg.f64 k)))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (+.f64 1 (*.f64 -1 k))))
(/.f64 k (pow.f64 (*.f64 2 (*.f64 n (PI.f64))) (neg.f64 k)))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (log.f64 (*.f64 2 (PI.f64))) (log.f64 n)))))
(/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (+.f64 (log.f64 n) (log.f64 (*.f64 2 (PI.f64))))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (PI.f64)))))))
(/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (neg.f64 (log.f64 n)) (log.f64 (*.f64 2 (PI.f64))))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))))
(/.f64 k (exp.f64 (*.f64 (-.f64 1 k) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (PI.f64)))))))
(/.f64 k (pow.f64 (exp.f64 (neg.f64 k)) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 (PI.f64) -2)))))
(+.f64 0 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))) 1)
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(*.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(*.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 1)
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))))
(*.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))))
(*.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4))
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(*.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (neg.f64 (-.f64 1 k)))))
(*.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 (neg.f64 k)))))
(*.f64 (sqrt.f64 k) (pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (neg.f64 (-.f64 1 k))) 1/2))
(*.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 (neg.f64 k)))))
(*.f64 (sqrt.f64 k) (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (sqrt.f64 k) (/.f64 0 (sqrt.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 2)) 1/2) (pow.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 1/2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))) 2))) (sqrt.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))))
(/.f64 1 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))
(/.f64 0 (sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k)))
(/.f64 1 (/.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) (sqrt.f64 k)))
(*.f64 (sqrt.f64 k) (/.f64 0 (sqrt.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))))
(/.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 1)
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(/.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))
(/.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))))
(/.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))
(/.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))) 1/4) (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))))
(/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))
(/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(/.f64 (neg.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) -1)
(/.f64 (neg.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))) -1)
(/.f64 (sqrt.f64 (neg.f64 k)) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(/.f64 (sqrt.f64 (neg.f64 k)) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))))
(/.f64 (neg.f64 (sqrt.f64 k)) (neg.f64 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(/.f64 (neg.f64 (sqrt.f64 k)) (neg.f64 (sqrt.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))))
(pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/2)
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(pow.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 1)
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) 3)
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(pow.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))) 3/2))
(pow.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) 2)
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(fabs.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(fabs.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 3/2))
(cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(exp.f64 (*.f64 (log.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 1/2))
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) 1))
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))
(sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(+.f64 0 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k)))) (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))) 1)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))
(*.f64 1 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))
(*.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)) 1)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)) (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))) (cbrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))) (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))
(*.f64 -1 (/.f64 1 (neg.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))
(/.f64 -1 (neg.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) -1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) -1))
(*.f64 (/.f64 0 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))) (/.f64 0 (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) -1) (pow.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) -1))
(pow.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))) 1/4) -2)
(*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))) (/.f64 0 (sqrt.f64 k)))
(pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) -1/2)
(pow.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))) -1/2)
(pow.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) -1)
(/.f64 0 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)) 1)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))) 3)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)) 3) 1/3)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))) 2)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k)) 3))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) -1))
(/.f64 0 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))) 1))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))
(+.f64 0 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))
(/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) (cbrt.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))) (cbrt.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) 1)
(/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))
(*.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (neg.f64 (-.f64 1 k))))
(*.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 (neg.f64 k))))
(*.f64 1 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))
(/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))
(*.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1)
(/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))
(*.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))
(*.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 2)))
(*.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))) (cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))) 2)))
(*.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))
(*.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))) (*.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))) (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 2)) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))) (cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))) 2)))
(*.f64 (pow.f64 (cbrt.f64 k) 2) (*.f64 (cbrt.f64 k) (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (neg.f64 (-.f64 1 k)))))
(*.f64 (pow.f64 (cbrt.f64 k) 2) (*.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 (neg.f64 k))) (cbrt.f64 k)))
(*.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) (*.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4) (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))
(/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))
(*.f64 (sqrt.f64 k) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (neg.f64 (-.f64 1 k)))))
(*.f64 (sqrt.f64 k) (*.f64 (sqrt.f64 k) (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 (neg.f64 k)))))
(*.f64 (neg.f64 k) (/.f64 1 (neg.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (neg.f64 k) (/.f64 0 (neg.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))))
(*.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (neg.f64 (-.f64 1 k))) k)
(*.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 (neg.f64 k))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4)) (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1/4))
(/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (*.f64 (/.f64 0 0) (pow.f64 (PI.f64) 2)) (-.f64 1 k)))) (/.f64 k (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (/.f64 0 (cbrt.f64 (pow.f64 (*.f64 0 (pow.f64 (PI.f64) 2)) (neg.f64 k)))) (/.f64 k (cbrt.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))))
(*.f64 (/.f64 1 (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (/.f64 k (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (/.f64 0 (sqrt.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))) (/.f64 k (sqrt.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))))
(*.f64 (/.f64 1 (pow.f64 (PI.f64) (-.f64 1 k))) (/.f64 k (pow.f64 (/.f64 0 0) (-.f64 1 k))))
(*.f64 (/.f64 0 (pow.f64 (PI.f64) (neg.f64 k))) (/.f64 k (pow.f64 0 (neg.f64 k))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 k) 2) 1) (/.f64 (cbrt.f64 k) (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))
(*.f64 (pow.f64 (cbrt.f64 k) 2) (/.f64 (cbrt.f64 k) (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 k) 2) (cbrt.f64 (pow.f64 (*.f64 (/.f64 0 0) (pow.f64 (PI.f64) 2)) (-.f64 1 k)))) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))) (/.f64 (pow.f64 (cbrt.f64 k) 2) (cbrt.f64 (pow.f64 (*.f64 0 (pow.f64 (PI.f64) 2)) (neg.f64 k)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 k) 2) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (/.f64 (cbrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 k) 2) (sqrt.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))) (/.f64 (cbrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 k) 2) (pow.f64 (PI.f64) (-.f64 1 k))) (/.f64 (cbrt.f64 k) (pow.f64 (/.f64 0 0) (-.f64 1 k))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 k) 2) (/.f64 (cbrt.f64 k) (pow.f64 0 (neg.f64 k)))) (pow.f64 (PI.f64) (neg.f64 k)))
(*.f64 (/.f64 (sqrt.f64 k) 1) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))
(*.f64 (sqrt.f64 k) (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(*.f64 (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (/.f64 0 0) (pow.f64 (PI.f64) 2)) (-.f64 1 k)))) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(*.f64 (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 0 (pow.f64 (PI.f64) 2)) (neg.f64 k)))) (/.f64 (sqrt.f64 k) (cbrt.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))))
(*.f64 (/.f64 (sqrt.f64 k) (pow.f64 (PI.f64) (-.f64 1 k))) (/.f64 (sqrt.f64 k) (pow.f64 (/.f64 0 0) (-.f64 1 k))))
(*.f64 (/.f64 (sqrt.f64 k) (pow.f64 (PI.f64) (neg.f64 k))) (/.f64 (sqrt.f64 k) (pow.f64 0 (neg.f64 k))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))) (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))) (*.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))) (cbrt.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))))
(*.f64 (/.f64 k (*.f64 (PI.f64) (/.f64 0 0))) (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) k))
(*.f64 (/.f64 k (*.f64 0 (PI.f64))) (pow.f64 (*.f64 0 (PI.f64)) k))
(pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 1)
(/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))
(pow.f64 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 2)
(/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))
(pow.f64 (cbrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 3)
(/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))
(pow.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 2) 1/2)
(sqrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))) 2))
(pow.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 3) 1/3)
(/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))
(pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) k) -1)
(/.f64 0 (/.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)) k))
(neg.f64 (/.f64 k (neg.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(/.f64 (neg.f64 k) (neg.f64 (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))))
(sqrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 2))
(sqrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k))) 2))
(log.f64 (exp.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))))))
(/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))
(cbrt.f64 (pow.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k))) 3))
(/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))
(cbrt.f64 (/.f64 (pow.f64 k 3) (pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)) 3)))
(/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))
(expm1.f64 (log1p.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))
(exp.f64 (log.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))
(exp.f64 (*.f64 (log.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))) 1))
(/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))
(log1p.f64 (expm1.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (/.f64 0 0)) (-.f64 1 k)))))
(/.f64 k (pow.f64 (*.f64 0 (PI.f64)) (neg.f64 k)))

localize10.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓99.6%
(*.f64 (/.f64 (PI.f64) k) n)
✓99.6%
(/.f64 (PI.f64) k)
✓83.3%
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
Compiler

Compiled 29 to 11 computations (62.1% saved)

series3.0ms (0%)

Counts
3 → 24
Calls

15 calls:

TimeVariablePointExpression
0.0ms
k
@0
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
0.0ms
k
@-inf
(/.f64 (PI.f64) k)
0.0ms
k
@-inf
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
0.0ms
k
@-inf
(*.f64 (/.f64 (PI.f64) k) n)
0.0ms
k
@inf
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))

rewrite90.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1262×log-prod
780×pow-prod-down
600×pow-prod-up
534×pow-exp
496×pow-unpow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01249
124649
2304849
Stop Event
1×node limit
Counts
3 → 111
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(/.f64 (PI.f64) k)
(*.f64 (/.f64 (PI.f64) k) n)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6) (cbrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/4) (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n)) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) k))) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) n) 2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (PI.f64) k))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) k))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) k)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) k)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) k)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) k))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 1 k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) k) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (PI.f64) k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (PI.f64) k)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) k)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) k)) 2) (cbrt.f64 (/.f64 (PI.f64) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 1 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (/.f64 (PI.f64) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 k) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 k) -2) (/.f64 (PI.f64) (cbrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 k -1/2) (/.f64 (PI.f64) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 k) 2)) (cbrt.f64 (/.f64 (PI.f64) k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 k)) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 k) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) k) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (PI.f64) k)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (PI.f64) k) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 k (PI.f64)) -3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (PI.f64) k)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 k (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 k 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 k (PI.f64)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (PI.f64) (neg.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (PI.f64) k) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (PI.f64) k)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) k))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 k (PI.f64)) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 k 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (PI.f64) k)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (PI.f64) k)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) k)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (PI.f64) k)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (PI.f64) k))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 k (PI.f64)) -3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) k))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 k (PI.f64))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (PI.f64) k)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 (PI.f64) k) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) k)) n)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) k)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) k)) n))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) k)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) k) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 k n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 n (/.f64 k (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 k (*.f64 (PI.f64) n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) n) k)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (PI.f64) n)) (neg.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (neg.f64 (PI.f64))) (neg.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (PI.f64)) n) (neg.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) n) 1) k)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) n) (pow.f64 (cbrt.f64 k) 2)) (cbrt.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) n) (sqrt.f64 k)) (sqrt.f64 k))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (PI.f64) k) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) n) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 k (*.f64 (PI.f64) n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) k)) n))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) k) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) k) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) n)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (PI.f64) k) n))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) k) n)))))))

simplify101.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
964×fma-def
880×distribute-lft-in
860×times-frac
838×distribute-rgt-in
808×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02642389
15692289
217532289
Stop Event
1×node limit
Counts
135 → 139
Calls
Call 1
Inputs
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(+.f64 0 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))) 1)
(*.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) 1)
(*.f64 1 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))
(*.f64 (cbrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6))
(*.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6) (cbrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))
(*.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/4) (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/4))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n)) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n)))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) k))) (sqrt.f64 n))
(pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) 1)
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) 3/2)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6) 3)
(pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) n) 2) 4) 1/4)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/4) 2)
(fabs.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6)) 3))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/4)) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))
(+.f64 0 (/.f64 (PI.f64) k))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) k))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) k)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) k)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) k)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) k))) 1)
(*.f64 (PI.f64) (/.f64 1 k))
(*.f64 (/.f64 (PI.f64) k) 1)
(*.f64 1 (/.f64 (PI.f64) k))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) k)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) k)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) k)) 2) (cbrt.f64 (/.f64 (PI.f64) k)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 1 k)))
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (/.f64 (PI.f64) k)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 k)))
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 k)))
(*.f64 (/.f64 1 k) (PI.f64))
(*.f64 (pow.f64 (cbrt.f64 k) -2) (/.f64 (PI.f64) (cbrt.f64 k)))
(*.f64 (pow.f64 k -1/2) (/.f64 (PI.f64) (sqrt.f64 k)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) k))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 k) 2)) (cbrt.f64 (/.f64 (PI.f64) k)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 k)) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 k)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) k))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 k) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 k)))
(pow.f64 (/.f64 (PI.f64) k) 1)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) k)) 3)
(pow.f64 (pow.f64 (/.f64 (PI.f64) k) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 k (PI.f64)) -3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) k)) 2)
(pow.f64 (/.f64 k (PI.f64)) -1)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 k 3)) 1/3)
(pow.f64 (/.f64 (/.f64 k (PI.f64)) 1) -1)
(neg.f64 (/.f64 (PI.f64) (neg.f64 k)))
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) k) 2))
(log.f64 (exp.f64 (/.f64 (PI.f64) k)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) k))))
(cbrt.f64 (pow.f64 (/.f64 k (PI.f64)) -3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 k 3)))
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) k)))
(exp.f64 (log.f64 (/.f64 (PI.f64) k)))
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) k)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (PI.f64) k)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (PI.f64) k))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 k (PI.f64)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) k))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 k (PI.f64))) -1))
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) k)))
(+.f64 0 (*.f64 (/.f64 (PI.f64) k) n))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) k)) n)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) k)) n))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) k)) n))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) k)) n))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) k) n))) 1)
(/.f64 (PI.f64) (/.f64 k n))
(/.f64 n (/.f64 k (PI.f64)))
(/.f64 1 (/.f64 k (*.f64 (PI.f64) n)))
(/.f64 (*.f64 (PI.f64) n) k)
(/.f64 (neg.f64 (*.f64 (PI.f64) n)) (neg.f64 k))
(/.f64 (*.f64 n (neg.f64 (PI.f64))) (neg.f64 k))
(/.f64 (*.f64 (neg.f64 (PI.f64)) n) (neg.f64 k))
(/.f64 (/.f64 (*.f64 (PI.f64) n) 1) k)
(/.f64 (/.f64 (*.f64 (PI.f64) n) (pow.f64 (cbrt.f64 k) 2)) (cbrt.f64 k))
(/.f64 (/.f64 (*.f64 (PI.f64) n) (sqrt.f64 k)) (sqrt.f64 k))
(pow.f64 (*.f64 (/.f64 (PI.f64) k) n) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) n)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) n) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) n) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n)) 2)
(pow.f64 (/.f64 k (*.f64 (PI.f64) n)) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) n) 2))
(log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) k)) n))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) k) n))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) n) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) k) n)))
(exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) n)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) n)) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) n)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) n))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (PI.f64) k) n))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n))) 2))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) k) n)))
Outputs
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(+.f64 0 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))) 1)
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(*.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) 1)
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(*.f64 1 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(*.f64 (cbrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(*.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6) (cbrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(*.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/4) (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/4))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n)) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n)))
(*.f64 (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 (PI.f64) k))) (sqrt.f64 n))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k (PI.f64)))) (sqrt.f64 n))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 2 k))) (sqrt.f64 n))
(pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/2)
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(pow.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) 1)
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k)))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64))))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k)))) 3/2)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6) 3)
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(pow.f64 (*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) n) 2) 4) 1/4)
(pow.f64 (*.f64 (pow.f64 (*.f64 n (/.f64 (PI.f64) k)) 2) 4) 1/4)
(pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 2) 4) 1/4)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))) 3) 1/6)
(pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3) 8) 1/6)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 3/2) 1/3)
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/4) 2)
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(fabs.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))))))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(cbrt.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 3/2))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(exp.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) 1/2))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))) 1))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) 1) 1/2))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n))) 1/2) 1))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))) 1) 1))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6)) 3))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))) 1/3))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/4)) 2))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(+.f64 0 (/.f64 (PI.f64) k))
(/.f64 (PI.f64) k)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) k))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) k)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (PI.f64) k)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) k)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) k)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (PI.f64) k)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (PI.f64) k))) 1)
(/.f64 (PI.f64) k)
(*.f64 (PI.f64) (/.f64 1 k))
(/.f64 (PI.f64) k)
(*.f64 (/.f64 (PI.f64) k) 1)
(/.f64 (PI.f64) k)
(*.f64 1 (/.f64 (PI.f64) k))
(/.f64 (PI.f64) k)
(*.f64 (cbrt.f64 (/.f64 (PI.f64) k)) (pow.f64 (cbrt.f64 (/.f64 (PI.f64) k)) 2))
(/.f64 (PI.f64) k)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (PI.f64) k)) 2) (cbrt.f64 (/.f64 (PI.f64) k)))
(/.f64 (PI.f64) k)
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 1 k)))
(/.f64 (PI.f64) k)
(*.f64 (sqrt.f64 (/.f64 (PI.f64) k)) (sqrt.f64 (/.f64 (PI.f64) k)))
(/.f64 (PI.f64) k)
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 1 k)))
(/.f64 (PI.f64) k)
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (neg.f64 k)))
(/.f64 (PI.f64) k)
(*.f64 (/.f64 1 k) (PI.f64))
(/.f64 (PI.f64) k)
(*.f64 (pow.f64 (cbrt.f64 k) -2) (/.f64 (PI.f64) (cbrt.f64 k)))
(/.f64 (PI.f64) k)
(*.f64 (pow.f64 k -1/2) (/.f64 (PI.f64) (sqrt.f64 k)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) k))
(/.f64 (PI.f64) k)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 k) 2)) (cbrt.f64 (/.f64 (PI.f64) k)))
(*.f64 (cbrt.f64 (/.f64 (PI.f64) k)) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 k) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 k)) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 k)))
(/.f64 (PI.f64) k)
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) k))
(/.f64 (PI.f64) k)
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 k) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 k)))
(/.f64 (PI.f64) k)
(pow.f64 (/.f64 (PI.f64) k) 1)
(/.f64 (PI.f64) k)
(pow.f64 (cbrt.f64 (/.f64 (PI.f64) k)) 3)
(/.f64 (PI.f64) k)
(pow.f64 (pow.f64 (/.f64 (PI.f64) k) 2) 1/2)
(/.f64 (PI.f64) k)
(pow.f64 (pow.f64 (/.f64 k (PI.f64)) -3) 1/3)
(/.f64 (PI.f64) k)
(pow.f64 (sqrt.f64 (/.f64 (PI.f64) k)) 2)
(/.f64 (PI.f64) k)
(pow.f64 (/.f64 k (PI.f64)) -1)
(/.f64 (PI.f64) k)
(pow.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 k 3)) 1/3)
(/.f64 (PI.f64) k)
(pow.f64 (/.f64 (/.f64 k (PI.f64)) 1) -1)
(/.f64 (PI.f64) k)
(neg.f64 (/.f64 (PI.f64) (neg.f64 k)))
(/.f64 (PI.f64) k)
(sqrt.f64 (pow.f64 (/.f64 (PI.f64) k) 2))
(/.f64 (PI.f64) k)
(log.f64 (exp.f64 (/.f64 (PI.f64) k)))
(/.f64 (PI.f64) k)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (PI.f64) k))))
(/.f64 (PI.f64) k)
(cbrt.f64 (pow.f64 (/.f64 k (PI.f64)) -3))
(/.f64 (PI.f64) k)
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 k 3)))
(/.f64 (PI.f64) k)
(expm1.f64 (log1p.f64 (/.f64 (PI.f64) k)))
(/.f64 (PI.f64) k)
(exp.f64 (log.f64 (/.f64 (PI.f64) k)))
(/.f64 (PI.f64) k)
(exp.f64 (*.f64 (log.f64 (/.f64 (PI.f64) k)) 1))
(/.f64 (PI.f64) k)
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (PI.f64) k)) 1) 1))
(/.f64 (PI.f64) k)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (PI.f64) k))) 3))
(/.f64 (PI.f64) k)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 k (PI.f64)) -3)) 1/3))
(/.f64 (PI.f64) k)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (PI.f64) k))) 2))
(/.f64 (PI.f64) k)
(exp.f64 (*.f64 (log.f64 (/.f64 k (PI.f64))) -1))
(/.f64 (PI.f64) k)
(log1p.f64 (expm1.f64 (/.f64 (PI.f64) k)))
(/.f64 (PI.f64) k)
(+.f64 0 (*.f64 (/.f64 (PI.f64) k) n))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) k)) n)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) k)) n))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) k)) n))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) k)) n))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) k)) n))))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) k) n))) 1)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (PI.f64) (/.f64 k n))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 n (/.f64 k (PI.f64)))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 1 (/.f64 k (*.f64 (PI.f64) n)))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 (PI.f64) n) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (neg.f64 (*.f64 (PI.f64) n)) (neg.f64 k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 n (neg.f64 (PI.f64))) (neg.f64 k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (*.f64 (neg.f64 (PI.f64)) n) (neg.f64 k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (/.f64 (*.f64 (PI.f64) n) 1) k)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (/.f64 (*.f64 (PI.f64) n) (pow.f64 (cbrt.f64 k) 2)) (cbrt.f64 k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(/.f64 (/.f64 (*.f64 (PI.f64) n) (sqrt.f64 k)) (sqrt.f64 k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(pow.f64 (*.f64 (/.f64 (PI.f64) k) n) 1)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) n)) 3)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) n) 2) 1/2)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(pow.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) n) 3) 1/3)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n)) 2)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(pow.f64 (/.f64 k (*.f64 (PI.f64) n)) -1)
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) n) 2))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(log.f64 (pow.f64 (exp.f64 (/.f64 (PI.f64) k)) n))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 (PI.f64) k) n))))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) n) 3))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (PI.f64) k) n)))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(exp.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) n)))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) n)) 1))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) n)) 1) 1))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) n))) 3))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (PI.f64) k) n))) 1/3))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n))) 2))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (PI.f64) k) n)))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))

localize15.0ms (0.1%)

Local Accuracy

Found 2 expressions with local accuracy:

NewAccuracyProgram
✓99.6%
(/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))
✓84.3%
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
Compiler

Compiled 29 to 16 computations (44.8% saved)

series138.0ms (1.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
55.0ms
n
@inf
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
39.0ms
k
@-inf
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
12.0ms
n
@0
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
12.0ms
n
@-inf
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
12.0ms
k
@0
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)

rewrite76.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1348×log-prod
766×pow-prod-down
586×pow-prod-up
548×pow-exp
468×expm1-udef
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01248
125948
2344046
Stop Event
1×node limit
Counts
2 → 86
Calls
Call 1
Inputs
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/6) (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))) (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/4) (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 n k) 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) -1) (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 2)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) -1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 (PI.f64) n))))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 (PI.f64) n))))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 (PI.f64) n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 (PI.f64) n)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 (PI.f64) n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 k (*.f64 (/.f64 1 n) (/.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) (*.f64 (cbrt.f64 (/.f64 k n)) (/.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 k n)) (*.f64 (sqrt.f64 (/.f64 k n)) (/.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) (sqrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 k) n) (/.f64 1 (*.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (PI.f64)) (/.f64 k n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 k (*.f64 (PI.f64) n)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 k (*.f64 (PI.f64) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 k 1) (/.f64 (/.f64 1 n) (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) 1) (/.f64 (cbrt.f64 (/.f64 k n)) (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 k n)) 1) (/.f64 (sqrt.f64 (/.f64 k n)) (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 k n)) (PI.f64)) (/.f64 (sqrt.f64 (/.f64 k n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 k) 2) (*.f64 (PI.f64) 2)) (/.f64 (cbrt.f64 k) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 k) (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 k) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 k (PI.f64)) (/.f64 (/.f64 1 n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 k 2) (/.f64 (/.f64 1 n) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 k (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (/.f64 (/.f64 1 n) (cbrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 k (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 (/.f64 1 n) (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 k n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) -2) (/.f64 (/.f64 k n) (cbrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) 2) -1/2) (/.f64 (/.f64 k n) (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) (PI.f64)) (/.f64 (cbrt.f64 (/.f64 k n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) 2) (/.f64 (cbrt.f64 (/.f64 k n)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 (cbrt.f64 (/.f64 k n)) (sqrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 k n)) 2) (/.f64 (sqrt.f64 (/.f64 k n)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 k n)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (/.f64 (sqrt.f64 (/.f64 k n)) (cbrt.f64 (*.f64 (PI.f64) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 (PI.f64) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 n k) -3) (pow.f64 (*.f64 (PI.f64) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))))))))

simplify166.0ms (1.4%)

Algorithm
1×egg-herbie
Rules
1082×log-prod
824×log-div
798×associate-/l*
550×fma-def
504×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02744190
16844116
219993648
368453648
Stop Event
1×node limit
Counts
134 → 130
Calls
Call 1
Inputs
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 k))) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 k))) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 k))) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 k))) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1/2 (*.f64 n (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 -1 k))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1/2 (*.f64 n (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 -1 k))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1/2 (*.f64 n (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 -1 k))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1/2 (*.f64 n (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 -1 k))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 (*.f64 1/2 (/.f64 k (PI.f64)))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 (*.f64 1/2 (/.f64 k (PI.f64)))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 (*.f64 1/2 (/.f64 k (PI.f64)))))))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 (*.f64 1/2 (/.f64 k (PI.f64)))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 n)) (log.f64 (*.f64 1/2 (/.f64 k (PI.f64)))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 n)) (log.f64 (*.f64 1/2 (/.f64 k (PI.f64)))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 n)) (log.f64 (*.f64 1/2 (/.f64 k (PI.f64)))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 n)) (log.f64 (*.f64 1/2 (/.f64 k (PI.f64)))))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1/2 (/.f64 k (PI.f64)))) (log.f64 (/.f64 -1 n)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1/2 (/.f64 k (PI.f64)))) (log.f64 (/.f64 -1 n)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1/2 (/.f64 k (PI.f64)))) (log.f64 (/.f64 -1 n)))))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1/2 (/.f64 k (PI.f64)))) (log.f64 (/.f64 -1 n)))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(+.f64 0 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))) 1)
(*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))
(*.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/6) (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))) (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/6))
(*.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/4) (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/4))
(*.f64 (pow.f64 (/.f64 n k) 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) -1) (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/6))
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 1) -1/2))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 2)) -1/4))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/4)) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) -1/4) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))
(+.f64 0 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 (PI.f64) n))))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 (PI.f64) n))))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 (PI.f64) n)))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 (PI.f64) n)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 (PI.f64) n)))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))))) 1)
(*.f64 k (*.f64 (/.f64 1 n) (/.f64 1/2 (PI.f64))))
(*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))
(*.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 1)
(*.f64 1 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) (*.f64 (cbrt.f64 (/.f64 k n)) (/.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 k n)) (*.f64 (sqrt.f64 (/.f64 k n)) (/.f64 1/2 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) (sqrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))))
(*.f64 (/.f64 (neg.f64 k) n) (/.f64 1 (*.f64 (PI.f64) -2)))
(*.f64 (/.f64 1/2 (PI.f64)) (/.f64 k n))
(*.f64 (/.f64 k (*.f64 (PI.f64) n)) 1/2)
(*.f64 1/2 (/.f64 k (*.f64 (PI.f64) n)))
(*.f64 (/.f64 k 1) (/.f64 (/.f64 1 n) (*.f64 (PI.f64) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) 1) (/.f64 (cbrt.f64 (/.f64 k n)) (*.f64 (PI.f64) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 k n)) 1) (/.f64 (sqrt.f64 (/.f64 k n)) (*.f64 (PI.f64) 2)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 k n)) (PI.f64)) (/.f64 (sqrt.f64 (/.f64 k n)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 k) 2) (*.f64 (PI.f64) 2)) (/.f64 (cbrt.f64 k) n))
(*.f64 (/.f64 (sqrt.f64 k) (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 k) n))
(*.f64 (/.f64 k (PI.f64)) (/.f64 (/.f64 1 n) 2))
(*.f64 (/.f64 k 2) (/.f64 (/.f64 1 n) (PI.f64)))
(*.f64 (/.f64 k (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (/.f64 (/.f64 1 n) (cbrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (/.f64 k (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 (/.f64 1 n) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 k n) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) -2) (/.f64 (/.f64 k n) (cbrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) -1/2) (/.f64 (/.f64 k n) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) (PI.f64)) (/.f64 (cbrt.f64 (/.f64 k n)) 2))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) 2) (/.f64 (cbrt.f64 (/.f64 k n)) (PI.f64)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 (cbrt.f64 (/.f64 k n)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 k n)) 2) (/.f64 (sqrt.f64 (/.f64 k n)) (PI.f64)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 k n)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (/.f64 (sqrt.f64 (/.f64 k n)) (cbrt.f64 (*.f64 (PI.f64) 2))))
(pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 2)
(pow.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)) -1)
(pow.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)) -1)
(pow.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k) -1)
(pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)) 1) -1)
(neg.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) -2)))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 2))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 (PI.f64) n)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 n k) -3) (pow.f64 (*.f64 (PI.f64) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))))) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))) -1))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))))
Outputs
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 k))) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 k))) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 k))) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 k))) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1/2 (*.f64 n (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 -1 k))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 -1/2 (*.f64 n (PI.f64)))) (neg.f64 (log.f64 (/.f64 -1 k)))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (/.f64 -1/2 (*.f64 n (PI.f64)))) (log.f64 (/.f64 -1 k))))
(*.f64 (pow.f64 (/.f64 -1/2 (*.f64 n (PI.f64))) -1/2) (pow.f64 (/.f64 -1 k) 1/2))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1/2 (*.f64 n (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 -1 k))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 -1/2 (*.f64 n (PI.f64)))) (neg.f64 (log.f64 (/.f64 -1 k)))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (/.f64 -1/2 (*.f64 n (PI.f64)))) (log.f64 (/.f64 -1 k))))
(*.f64 (pow.f64 (/.f64 -1/2 (*.f64 n (PI.f64))) -1/2) (pow.f64 (/.f64 -1 k) 1/2))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1/2 (*.f64 n (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 -1 k))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 -1/2 (*.f64 n (PI.f64)))) (neg.f64 (log.f64 (/.f64 -1 k)))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (/.f64 -1/2 (*.f64 n (PI.f64)))) (log.f64 (/.f64 -1 k))))
(*.f64 (pow.f64 (/.f64 -1/2 (*.f64 n (PI.f64))) -1/2) (pow.f64 (/.f64 -1 k) 1/2))
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 -1/2 (*.f64 n (PI.f64)))) (*.f64 -1 (log.f64 (/.f64 -1 k))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (/.f64 -1/2 (*.f64 n (PI.f64)))) (neg.f64 (log.f64 (/.f64 -1 k)))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (/.f64 -1/2 (*.f64 n (PI.f64)))) (log.f64 (/.f64 -1 k))))
(*.f64 (pow.f64 (/.f64 -1/2 (*.f64 n (PI.f64))) -1/2) (pow.f64 (/.f64 -1 k) 1/2))
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 (*.f64 1/2 (/.f64 k (PI.f64)))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 (*.f64 1/2 (/.f64 k (PI.f64)))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 (*.f64 1/2 (/.f64 k (PI.f64)))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 (log.f64 n)) (log.f64 (*.f64 1/2 (/.f64 k (PI.f64)))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 n)) (log.f64 (*.f64 1/2 (/.f64 k (PI.f64)))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 n)) (log.f64 (*.f64 1/2 (/.f64 k (PI.f64)))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 n)) (log.f64 (*.f64 1/2 (/.f64 k (PI.f64)))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (/.f64 1 n)) (log.f64 (*.f64 1/2 (/.f64 k (PI.f64)))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1/2 (/.f64 k (PI.f64)))) (log.f64 (/.f64 -1 n)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1/2 (/.f64 k (PI.f64)))) (log.f64 (/.f64 -1 n)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1/2 (/.f64 k (PI.f64)))) (log.f64 (/.f64 -1 n)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 -1/2 (+.f64 (log.f64 (*.f64 -1/2 (/.f64 k (PI.f64)))) (log.f64 (/.f64 -1 n)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(+.f64 0 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k)))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k))))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))) 1)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k))))
(*.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))) 1)
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k))))
(*.f64 1 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k))))
(*.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/6) (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))
(*.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/6) (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k)))))
(*.f64 (pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/6) (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))) (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/6))
(*.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/6) (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k)))))
(*.f64 (pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/6) (cbrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k)))))
(*.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/4) (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/4))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(*.f64 (pow.f64 (/.f64 n k) 1/2) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (sqrt.f64 (/.f64 n k)) (sqrt.f64 (*.f64 (PI.f64) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) -1) (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/6))
(*.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/6) (/.f64 1 (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))))))
(/.f64 (*.f64 1 (pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/6)) (cbrt.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))))
(/.f64 (pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/6) (cbrt.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))))
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -3/2))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))) 1))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 1) -1/2))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))) 1) 1))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/6)) 3))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -3/2)) 1/3))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 2)) -1/4))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/4)) 2))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) -1/4) 2))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 1/2 (*.f64 n (PI.f64))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 k) (log.f64 (/.f64 (/.f64 1/2 (PI.f64)) n))))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))))
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 n k))))
(+.f64 0 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 (PI.f64) n))))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 (PI.f64) n))))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 (PI.f64) n)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 n (PI.f64)))))) (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 n (PI.f64)))))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 n (PI.f64))))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 n (PI.f64)))))))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 n (PI.f64))))))))
(*.f64 3 (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 n (PI.f64))))))))
(+.f64 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 (PI.f64) n)))))) (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 (PI.f64) n)))))))
(*.f64 2 (log.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 n (PI.f64))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))))) 1)
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 k (*.f64 (/.f64 1 n) (/.f64 1/2 (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 1)
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) (*.f64 (cbrt.f64 (/.f64 k n)) (/.f64 1/2 (PI.f64))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) (*.f64 (/.f64 1/2 (PI.f64)) (cbrt.f64 (/.f64 k n))))
(*.f64 (cbrt.f64 (/.f64 k n)) (*.f64 (/.f64 1/2 (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 n k) -2))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 2))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 2) (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 (sqrt.f64 (/.f64 k n)) (*.f64 (sqrt.f64 (/.f64 k n)) (/.f64 1/2 (PI.f64))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 (sqrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) (sqrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 (/.f64 (neg.f64 k) n) (/.f64 1 (*.f64 (PI.f64) -2)))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 (/.f64 1/2 (PI.f64)) (/.f64 k n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 (/.f64 k (*.f64 (PI.f64) n)) 1/2)
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 1/2 (/.f64 k (*.f64 (PI.f64) n)))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 (/.f64 k 1) (/.f64 (/.f64 1 n) (*.f64 (PI.f64) 2)))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) 1) (/.f64 (cbrt.f64 (/.f64 k n)) (*.f64 (PI.f64) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) (*.f64 (/.f64 1/2 (PI.f64)) (cbrt.f64 (/.f64 k n))))
(*.f64 (cbrt.f64 (/.f64 k n)) (*.f64 (/.f64 1/2 (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 n k) -2))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 k n)) 1) (/.f64 (sqrt.f64 (/.f64 k n)) (*.f64 (PI.f64) 2)))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 (/.f64 (sqrt.f64 (/.f64 k n)) (PI.f64)) (/.f64 (sqrt.f64 (/.f64 k n)) 2))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 k) 2) (*.f64 (PI.f64) 2)) (/.f64 (cbrt.f64 k) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 (/.f64 (sqrt.f64 k) (*.f64 (PI.f64) 2)) (/.f64 (sqrt.f64 k) n))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 (/.f64 k (PI.f64)) (/.f64 (/.f64 1 n) 2))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 (/.f64 k 2) (/.f64 (/.f64 1 n) (PI.f64)))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 (/.f64 k (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (/.f64 (/.f64 1 n) (cbrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (/.f64 k (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) n)))
(*.f64 (/.f64 k (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (/.f64 1 (*.f64 n (cbrt.f64 (*.f64 (PI.f64) 2)))))
(/.f64 k (/.f64 (*.f64 n (cbrt.f64 (*.f64 (PI.f64) 2))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) -2)))
(*.f64 (/.f64 k (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 (/.f64 1 n) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (/.f64 k (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 1 (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) n)))
(/.f64 (/.f64 (pow.f64 (/.f64 n k) -1) (sqrt.f64 (*.f64 (PI.f64) 2))) (sqrt.f64 (*.f64 (PI.f64) 2)))
(/.f64 k (*.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (*.f64 n (sqrt.f64 (*.f64 (PI.f64) 2)))))
(*.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 k n) 2))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) -2) (/.f64 (/.f64 k n) (cbrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (/.f64 k (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) n)))
(*.f64 (/.f64 k (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (/.f64 1 (*.f64 n (cbrt.f64 (*.f64 (PI.f64) 2)))))
(/.f64 k (/.f64 (*.f64 n (cbrt.f64 (*.f64 (PI.f64) 2))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) -2)))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) -1/2) (/.f64 (/.f64 k n) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 (*.f64 (PI.f64) 2) -1/2) (/.f64 k (*.f64 n (sqrt.f64 (*.f64 (PI.f64) 2)))))
(*.f64 (/.f64 k n) (/.f64 (pow.f64 (*.f64 (PI.f64) 2) -1/2) (sqrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) (PI.f64)) (/.f64 (cbrt.f64 (/.f64 k n)) 2))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) (*.f64 (/.f64 1/2 (PI.f64)) (cbrt.f64 (/.f64 k n))))
(*.f64 (cbrt.f64 (/.f64 k n)) (*.f64 (/.f64 1/2 (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 n k) -2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) 2) (/.f64 (cbrt.f64 (/.f64 k n)) (PI.f64)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) (*.f64 (/.f64 1/2 (PI.f64)) (cbrt.f64 (/.f64 k n))))
(*.f64 (cbrt.f64 (/.f64 k n)) (*.f64 (/.f64 1/2 (PI.f64)) (cbrt.f64 (pow.f64 (/.f64 n k) -2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)))
(*.f64 (cbrt.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 (cbrt.f64 (/.f64 k n)) (sqrt.f64 (*.f64 (PI.f64) 2))))
(/.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 n k) -2)) (sqrt.f64 (*.f64 (PI.f64) 2))) (/.f64 (sqrt.f64 (*.f64 (PI.f64) 2)) (cbrt.f64 (/.f64 k n))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 k n)) 2) (/.f64 (sqrt.f64 (/.f64 k n)) (PI.f64)))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(*.f64 (/.f64 (sqrt.f64 (/.f64 k n)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (/.f64 (sqrt.f64 (/.f64 k n)) (cbrt.f64 (*.f64 (PI.f64) 2))))
(*.f64 (/.f64 k (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (/.f64 1 (*.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) n)))
(*.f64 (/.f64 k (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) 2)) (/.f64 1 (*.f64 n (cbrt.f64 (*.f64 (PI.f64) 2)))))
(/.f64 k (/.f64 (*.f64 n (cbrt.f64 (*.f64 (PI.f64) 2))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) 2)) -2)))
(pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 1)
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 3)
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(pow.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 2) 1/2)
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(pow.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 3) 1/3)
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 2)
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(pow.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)) -1)
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(pow.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)) -1)
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(pow.f64 (/.f64 (*.f64 n (*.f64 (PI.f64) 2)) k) -1)
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(pow.f64 (/.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)) 1) -1)
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(neg.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) -2)))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 2))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 (PI.f64) n)))))
(log.f64 (sqrt.f64 (exp.f64 (/.f64 k (*.f64 n (PI.f64))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 3))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 n k) -3) (pow.f64 (*.f64 (PI.f64) 2) 3)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 n k) -3) (*.f64 (pow.f64 (PI.f64) 3) 8)))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(exp.f64 (log.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 1))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))) 1) 1))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))))) 3))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) 3)) 1/3))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))))) 2))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k))) -1))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64)))))
(*.f64 1/2 (/.f64 k (*.f64 n (PI.f64))))
(*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n))

localize14.0ms (0.1%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
99.8%
(sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n)))
99.6%
(*.f64 (PI.f64) (*.f64 2 n))
✓99.4%
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
Compiler

Compiled 31 to 19 computations (38.7% saved)

series2.0ms (0%)

Counts
1 → 0
Calls

6 calls:

TimeVariablePointExpression
0.0ms
n
@0
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
0.0ms
k
@-inf
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
0.0ms
n
@-inf
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
0.0ms
k
@inf
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
0.0ms
n
@inf
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))

rewrite79.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1358×log-prod
818×pow-prod-down
658×pow-prod-up
600×pow-exp
488×pow-unpow
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01325
126525
2327425
Stop Event
1×node limit
Counts
1 → 48
Calls
Call 1
Inputs
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 k -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/6) (pow.f64 k -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6) (cbrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (+.f64 n n)) (pow.f64 k -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/4) (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/4) (pow.f64 k -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) (/.f64 1 (neg.f64 (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 k 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 k -1/4) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 k 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) 1) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/6) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (cbrt.f64 k)) (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 k 1/4)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/6) (pow.f64 k 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (+.f64 n n)) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 k)) (/.f64 (sqrt.f64 (+.f64 n n)) (pow.f64 k 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 k 1/4)) (/.f64 (sqrt.f64 (+.f64 n n)) (pow.f64 k 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/4) 1) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/4) (sqrt.f64 k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/4) (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/4) (pow.f64 k 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n)))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (neg.f64 (sqrt.f64 k))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 3/2) (pow.f64 k 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/4)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n))))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))))))

simplify86.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
2072×fma-def
1330×associate-*r/
1066×associate-*l/
850×associate-/r/
666×unswap-sqr
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01431626
13111548
28311530
328221506
477901506
Stop Event
1×node limit
Counts
48 → 81
Calls
Call 1
Inputs
(+.f64 0 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))))) 1)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 k -1/2))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) 1)
(*.f64 1 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/6) (pow.f64 k -1/2)))
(*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6) (cbrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (+.f64 n n)) (pow.f64 k -1/2)))
(*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/4) (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/4))
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/4) (pow.f64 k -1/2)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) (/.f64 1 (neg.f64 (sqrt.f64 k))))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))))
(*.f64 (/.f64 1 (cbrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 k 1/6)))
(*.f64 (pow.f64 k -1/4) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 k 1/4)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) 1) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/6) (sqrt.f64 k)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (cbrt.f64 k)) (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 k 1/4)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/6) (pow.f64 k 1/4)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (+.f64 n n)) (sqrt.f64 k)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 k)) (/.f64 (sqrt.f64 (+.f64 n n)) (pow.f64 k 1/6)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 k 1/4)) (/.f64 (sqrt.f64 (+.f64 n n)) (pow.f64 k 1/4)))
(*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/4) 1) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/4) (sqrt.f64 k)))
(*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/4) (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/4) (pow.f64 k 1/6)))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) 1)
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/4) 2)
(pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n)))) -1)
(pow.f64 (/.f64 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n)))) 1) -1)
(neg.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (neg.f64 (sqrt.f64 k))))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 3/2))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 3/2) (pow.f64 k 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/4)) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n))))) -1))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))
Outputs
(+.f64 0 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))))) 3)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))))) 1)
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 k -1/2))
(*.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) 1)
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(*.f64 1 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/6) (pow.f64 k -1/2)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/6)))
(*.f64 (pow.f64 k -1/2) (*.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/6)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/6) (*.f64 (pow.f64 k -1/2) (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n)))))
(*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6) (cbrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(*.f64 (cbrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (+.f64 n n)) (pow.f64 k -1/2)))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (pow.f64 k -1/2) (sqrt.f64 (+.f64 n n))))
(*.f64 (pow.f64 k -1/2) (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (+.f64 n n))))
(*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/4) (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/4))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/4) (*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/4) (pow.f64 k -1/2)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 k -1/2))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) (/.f64 1 (neg.f64 (sqrt.f64 k))))
(*.f64 1 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (sqrt.f64 k))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 k -1/2))
(*.f64 (/.f64 1 (cbrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 k 1/6)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) (pow.f64 k 1/6))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 k 1/6)) (cbrt.f64 k))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (*.f64 (cbrt.f64 k) (pow.f64 k 1/6)))
(*.f64 (pow.f64 k -1/4) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 k 1/4)))
(*.f64 (/.f64 (pow.f64 k -1/4) (pow.f64 k 1/4)) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) 1) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/6) (sqrt.f64 k)))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/6)) (sqrt.f64 k))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (sqrt.f64 k)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/6))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/6) (sqrt.f64 k)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (cbrt.f64 k)) (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6))
(*.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (cbrt.f64 k)))
(*.f64 (pow.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))) 1/6) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (cbrt.f64 k)))
(*.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6) (/.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (cbrt.f64 k)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 k 1/4)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/6) (pow.f64 k 1/4)))
(/.f64 (cbrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (/.f64 (pow.f64 k 1/2) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/6)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (+.f64 n n)) (sqrt.f64 k)))
(*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (+.f64 n n)) (sqrt.f64 k)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 k)) (sqrt.f64 (+.f64 n n)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 k)) (/.f64 (sqrt.f64 (+.f64 n n)) (pow.f64 k 1/6)))
(/.f64 (*.f64 (sqrt.f64 (PI.f64)) (/.f64 (sqrt.f64 (+.f64 n n)) (pow.f64 k 1/6))) (cbrt.f64 k))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 k)) (pow.f64 k 1/6)) (sqrt.f64 (+.f64 n n)))
(/.f64 (sqrt.f64 (+.f64 n n)) (/.f64 (pow.f64 k 1/6) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 k))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 k 1/4)) (/.f64 (sqrt.f64 (+.f64 n n)) (pow.f64 k 1/4)))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 k 1/4)) (pow.f64 k 1/4)) (sqrt.f64 (+.f64 n n)))
(/.f64 (sqrt.f64 (PI.f64)) (/.f64 (pow.f64 k 1/2) (sqrt.f64 (+.f64 n n))))
(*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/4) 1) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/4) (sqrt.f64 k)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) (/.f64 1 (neg.f64 (sqrt.f64 k))))
(*.f64 1 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (sqrt.f64 k))
(*.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/4) (cbrt.f64 k)) (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 1/4) (pow.f64 k 1/6)))
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) (pow.f64 k 1/6))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 k 1/6)) (cbrt.f64 k))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (*.f64 (cbrt.f64 k) (pow.f64 k 1/6)))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) 1)
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6) 3)
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 3/2) 1/3)
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/4) 2)
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/2)
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(pow.f64 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n)))) -1)
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n)))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k (PI.f64)) (+.f64 n n))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(pow.f64 (/.f64 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n)))) 1) -1)
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n)))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k (PI.f64)) (+.f64 n n))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(neg.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (neg.f64 (sqrt.f64 k))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n)))) (/.f64 1 (neg.f64 (sqrt.f64 k))))
(*.f64 1 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (sqrt.f64 k)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (sqrt.f64 k))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(log.f64 (exp.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))))))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 3/2))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) 3/2) (pow.f64 k 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))) 1))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))) 1) 1))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6)) 3))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 3/2)) 1/3))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/4)) 2))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) 1/2))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n))))) -1))
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n)))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k (PI.f64)) (+.f64 n n))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(log1p.f64 (expm1.f64 (sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))

localize21.0ms (0.2%)

Local Accuracy

Found 3 expressions with local accuracy:

NewAccuracyProgram
✓99.6%
(pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2)
✓99.5%
(/.f64 (PI.f64) (/.f64 k n))
✓59.5%
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 1/3)
Compiler

Compiled 43 to 20 computations (53.5% saved)

series357.0ms (3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
292.0ms
n
@0
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 1/3)
16.0ms
k
@-inf
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 1/3)
16.0ms
n
@-inf
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 1/3)
14.0ms
k
@0
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 1/3)
10.0ms
k
@inf
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 1/3)

rewrite89.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1458×log-prod
752×pow-prod-down
678×pow-exp
654×pow-prod-up
514×expm1-udef
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01469
131267
2391467
Stop Event
1×node limit
Counts
3 → 118
Calls
Call 1
Inputs
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 1/3)
(/.f64 (PI.f64) (/.f64 k n))
(pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 1/4) (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 2 3/2)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 (*.f64 3/2 (log.f64 2)) 1/3)) (exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (/.f64 k n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (/.f64 n k)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k))) (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 n k)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 n k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 (PI.f64) k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (/.f64 n k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (PI.f64) (/.f64 n k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 n k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) 2) (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 n k)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (PI.f64)) (/.f64 1 (/.f64 (neg.f64 k) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n k) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) k) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 k n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 k n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) k) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 k) (/.f64 (PI.f64) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 k n)) 2)) (/.f64 (PI.f64) (cbrt.f64 (/.f64 k n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 k n))) (/.f64 (PI.f64) (sqrt.f64 (/.f64 k n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) k) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (/.f64 k n)) 2)) (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (/.f64 k n))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (/.f64 k n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 k n)) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (/.f64 k n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (PI.f64) k) 1) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (PI.f64) k) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (PI.f64) k) (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) 1) (/.f64 n k))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (neg.f64 k)) (neg.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 k n) (PI.f64)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (/.f64 k n) (PI.f64)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (PI.f64) (/.f64 (neg.f64 k) n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (/.f64 n k)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 k n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 n k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 k n) (PI.f64))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) (/.f64 n k))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3/2) (pow.f64 2 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/4) (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 4) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 2) 3/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 5/4) (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 9/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3/2 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 9/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/4 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 3/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2)))))))

simplify133.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
1016×fma-def
982×distribute-lft-in
912×distribute-rgt-in
722×unswap-sqr
518×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03486590
18205042
223994820
Stop Event
1×node limit
Counts
190 → 177
Calls
Call 1
Inputs
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 -2 (*.f64 n (PI.f64))))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 -2 (*.f64 n (PI.f64))))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 -2 (*.f64 n (PI.f64))))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 -2 (*.f64 n (PI.f64))))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (/.f64 (PI.f64) k)))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (/.f64 (PI.f64) k)))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (/.f64 (PI.f64) k)))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (/.f64 (PI.f64) k)))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (/.f64 (PI.f64) k)))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (/.f64 (PI.f64) k)))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (/.f64 (PI.f64) k)))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (/.f64 (PI.f64) k)))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k)))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k)))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k)))))) 1/3)
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k)))))) 1/3)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(/.f64 (*.f64 n (PI.f64)) k)
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 -2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 -2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 -2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 -2 (*.f64 n (PI.f64)))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (/.f64 (PI.f64) k))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (/.f64 (PI.f64) k))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (/.f64 (PI.f64) k))))))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (/.f64 (PI.f64) k))))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (/.f64 (PI.f64) k))))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (/.f64 (PI.f64) k))))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (/.f64 (PI.f64) k))))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (/.f64 (PI.f64) k))))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k))))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k))))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k))))))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k))))))
(+.f64 0 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))) 1)
(*.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1)
(*.f64 1 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))
(*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 1/4) (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 1/4))
(*.f64 (cbrt.f64 (pow.f64 2 3/2)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1/2))
(*.f64 (exp.f64 (*.f64 (*.f64 3/2 (log.f64 2)) 1/3)) (exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) 1/3)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (/.f64 k n)))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))
(fabs.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1) 1/2))
(exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1/2) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1/6))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 2))
(exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1/6) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))
(+.f64 0 (*.f64 (PI.f64) (/.f64 n k)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k))) (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 n k)))) 1)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (*.f64 (PI.f64) (/.f64 n k)) 1)
(*.f64 1 (*.f64 (PI.f64) (/.f64 n k)))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 n k)))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) 2) (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 n k)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (/.f64 (neg.f64 k) n)))
(*.f64 (/.f64 n k) (PI.f64))
(*.f64 (/.f64 (PI.f64) k) n)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 k n)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 k n)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) k) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 n)))
(*.f64 (/.f64 1 k) (/.f64 (PI.f64) (/.f64 1 n)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 k n)) 2)) (/.f64 (PI.f64) (cbrt.f64 (/.f64 k n))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 k n))) (/.f64 (PI.f64) (sqrt.f64 (/.f64 k n))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) k) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 1 n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (/.f64 k n)) 2)) (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (/.f64 k n))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (/.f64 k n))))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 k n)) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (/.f64 k n))))
(*.f64 (*.f64 (/.f64 (PI.f64) k) 1) n)
(*.f64 (*.f64 (/.f64 (PI.f64) k) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(*.f64 (*.f64 (/.f64 (PI.f64) k) (sqrt.f64 n)) (sqrt.f64 n))
(*.f64 (/.f64 (PI.f64) 1) (/.f64 n k))
(*.f64 (/.f64 (PI.f64) (neg.f64 k)) (neg.f64 n))
(pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 1)
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) 3)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) 2)
(pow.f64 (/.f64 (/.f64 k n) (PI.f64)) -1)
(pow.f64 (/.f64 (/.f64 (/.f64 k n) (PI.f64)) 1) -1)
(neg.f64 (/.f64 (PI.f64) (/.f64 (neg.f64 k) n)))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 2))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (/.f64 n k)))))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 k n) 3)))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 n k))))
(exp.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) 3))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 k n) (PI.f64))) -1))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (/.f64 n k))))
(+.f64 0 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))) 1)
(*.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))
(*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2) 1)
(*.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))
(*.f64 1 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))
(*.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3/2))
(*.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3/2) (pow.f64 2 3/2))
(*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/4) (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/4))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 4) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 2) 3/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 3/2))
(*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 5/4) (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 1/4))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3))
(log.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 9/2))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2)))
(exp.f64 (*.f64 3/2 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1) 3/2))
(exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1) 1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1/2) 3))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 9/2)) 1/3))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 3/4))
(exp.f64 (*.f64 (*.f64 3/4 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 3/4) 2))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2)))
Outputs
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 -2 (*.f64 n (PI.f64))))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 (*.f64 n (PI.f64)) -2)))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 n (*.f64 (PI.f64) -2))))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 k) 3/2) (pow.f64 (*.f64 (PI.f64) (*.f64 n -2)) 3/2)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 -2 (*.f64 n (PI.f64))))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 (*.f64 n (PI.f64)) -2)))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 n (*.f64 (PI.f64) -2))))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 k) 3/2) (pow.f64 (*.f64 (PI.f64) (*.f64 n -2)) 3/2)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 -2 (*.f64 n (PI.f64))))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 (*.f64 n (PI.f64)) -2)))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 n (*.f64 (PI.f64) -2))))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 k) 3/2) (pow.f64 (*.f64 (PI.f64) (*.f64 n -2)) 3/2)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 -2 (*.f64 n (PI.f64))))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 (*.f64 n (PI.f64)) -2)))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 n (*.f64 (PI.f64) -2))))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 k) 3/2) (pow.f64 (*.f64 (PI.f64) (*.f64 n -2)) 3/2)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (/.f64 (PI.f64) k)))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (/.f64 (PI.f64) k)))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (/.f64 (PI.f64) k)))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (/.f64 (PI.f64) k)))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (/.f64 (PI.f64) k)))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (/.f64 (PI.f64) k)))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (/.f64 (PI.f64) k)))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (/.f64 (PI.f64) k)))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k)))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k))))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 -2 (/.f64 (PI.f64) k))) (log.f64 (/.f64 -1 n)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 n) -3/2) (pow.f64 (*.f64 -2 (/.f64 (PI.f64) k)) 3/2)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k)))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k))))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 -2 (/.f64 (PI.f64) k))) (log.f64 (/.f64 -1 n)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 n) -3/2) (pow.f64 (*.f64 -2 (/.f64 (PI.f64) k)) 3/2)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k)))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k))))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 -2 (/.f64 (PI.f64) k))) (log.f64 (/.f64 -1 n)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 n) -3/2) (pow.f64 (*.f64 -2 (/.f64 (PI.f64) k)) 3/2)))
(pow.f64 (exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k)))))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k))))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 -2 (/.f64 (PI.f64) k))) (log.f64 (/.f64 -1 n)))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 n) -3/2) (pow.f64 (*.f64 -2 (/.f64 (PI.f64) k)) 3/2)))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(/.f64 (*.f64 n (PI.f64)) k)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 1 k)) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 -2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 (*.f64 n (PI.f64)) -2))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 n (*.f64 (PI.f64) -2)))))
(*.f64 (pow.f64 (/.f64 -1 k) 3/2) (pow.f64 (*.f64 (PI.f64) (*.f64 n -2)) 3/2))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 -2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 (*.f64 n (PI.f64)) -2))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 n (*.f64 (PI.f64) -2)))))
(*.f64 (pow.f64 (/.f64 -1 k) 3/2) (pow.f64 (*.f64 (PI.f64) (*.f64 n -2)) 3/2))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 -2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 (*.f64 n (PI.f64)) -2))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 n (*.f64 (PI.f64) -2)))))
(*.f64 (pow.f64 (/.f64 -1 k) 3/2) (pow.f64 (*.f64 (PI.f64) (*.f64 n -2)) 3/2))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 -2 (*.f64 n (PI.f64)))))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 (*.f64 n (PI.f64)) -2))))
(pow.f64 (exp.f64 3/2) (+.f64 (log.f64 (/.f64 -1 k)) (log.f64 (*.f64 n (*.f64 (PI.f64) -2)))))
(*.f64 (pow.f64 (/.f64 -1 k) 3/2) (pow.f64 (*.f64 (PI.f64) (*.f64 n -2)) 3/2))
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (/.f64 (PI.f64) k))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (/.f64 (PI.f64) k))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (/.f64 (PI.f64) k))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (log.f64 n) (log.f64 (*.f64 2 (/.f64 (PI.f64) k))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (/.f64 (PI.f64) k))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (/.f64 (PI.f64) k))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (/.f64 (PI.f64) k))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 n))) (log.f64 (*.f64 2 (/.f64 (PI.f64) k))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k)))))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 -2 (/.f64 (PI.f64) k))) (log.f64 (/.f64 -1 n))))
(*.f64 (pow.f64 (/.f64 -1 n) -3/2) (pow.f64 (*.f64 -2 (/.f64 (PI.f64) k)) 3/2))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k)))))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 -2 (/.f64 (PI.f64) k))) (log.f64 (/.f64 -1 n))))
(*.f64 (pow.f64 (/.f64 -1 n) -3/2) (pow.f64 (*.f64 -2 (/.f64 (PI.f64) k)) 3/2))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k)))))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 -2 (/.f64 (PI.f64) k))) (log.f64 (/.f64 -1 n))))
(*.f64 (pow.f64 (/.f64 -1 n) -3/2) (pow.f64 (*.f64 -2 (/.f64 (PI.f64) k)) 3/2))
(exp.f64 (*.f64 3/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 n))) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k))))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 (/.f64 -1 n)) (log.f64 (*.f64 -2 (/.f64 (PI.f64) k)))))
(pow.f64 (exp.f64 3/2) (-.f64 (log.f64 (*.f64 -2 (/.f64 (PI.f64) k))) (log.f64 (/.f64 -1 n))))
(*.f64 (pow.f64 (/.f64 -1 n) -3/2) (pow.f64 (*.f64 -2 (/.f64 (PI.f64) k)) 3/2))
(+.f64 0 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n))))) (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k)))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))) 1)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1)
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(*.f64 1 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))) (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))) (cbrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k)))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))) (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))) (cbrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (sqrt.f64 2))
(*.f64 (sqrt.f64 (*.f64 n (/.f64 (PI.f64) k))) (sqrt.f64 2))
(*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 1/4) (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 1/4))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(*.f64 (cbrt.f64 (pow.f64 2 3/2)) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))) (sqrt.f64 (cbrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))) (sqrt.f64 (cbrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))))
(*.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n))) (sqrt.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))))
(*.f64 (exp.f64 (*.f64 (*.f64 3/2 (log.f64 2)) 1/3)) (exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) 1/3)))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (/.f64 k n)))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(fabs.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1/2))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1) 1/2))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1) 1/3))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1/2) 1))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1) 1))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))) 3))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1/6))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(exp.f64 (*.f64 (*.f64 1/4 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 2))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1/6) 2))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))
(cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64)))))))
(sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))
(sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))
(+.f64 0 (*.f64 (PI.f64) (/.f64 n k)))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k))) (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k)))))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 n k)))) 1)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 (*.f64 (PI.f64) (/.f64 n k)) 1)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 1 (*.f64 (PI.f64) (/.f64 n k)))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) (/.f64 n k)))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) 2))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) 2) (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) (/.f64 n k)))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (neg.f64 (PI.f64)) (/.f64 1 (/.f64 (neg.f64 k) n)))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (/.f64 n k) (PI.f64))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (/.f64 (PI.f64) k) n)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) 1) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 k n)))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) 1) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 k n)))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) k) (/.f64 (sqrt.f64 (PI.f64)) (/.f64 1 n)))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (/.f64 1 k) (/.f64 (PI.f64) (/.f64 1 n)))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 k n)) 2)) (/.f64 (PI.f64) (cbrt.f64 (/.f64 k n))))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 k n))) (pow.f64 (cbrt.f64 (/.f64 k n)) 2))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 k n))) (/.f64 (PI.f64) (sqrt.f64 (/.f64 k n))))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (/.f64 k n))) (sqrt.f64 (/.f64 k n)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) k) (/.f64 (cbrt.f64 (PI.f64)) (/.f64 1 n)))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (/.f64 k n)) 2)) (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (/.f64 k n)) 2)))
(*.f64 (cbrt.f64 (*.f64 n (/.f64 (PI.f64) k))) (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (pow.f64 (cbrt.f64 (/.f64 k n)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (sqrt.f64 (/.f64 k n))) (/.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (/.f64 k n))))
(*.f64 (/.f64 1 (sqrt.f64 (/.f64 k n))) (/.f64 (PI.f64) (sqrt.f64 (/.f64 k n))))
(/.f64 (/.f64 (PI.f64) (sqrt.f64 (/.f64 k n))) (sqrt.f64 (/.f64 k n)))
(*.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (/.f64 k n)) 2)) (/.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (/.f64 k n))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 k n)) 2)) (/.f64 (PI.f64) (cbrt.f64 (/.f64 k n))))
(/.f64 (/.f64 (PI.f64) (cbrt.f64 (/.f64 k n))) (pow.f64 (cbrt.f64 (/.f64 k n)) 2))
(*.f64 (*.f64 (/.f64 (PI.f64) k) 1) n)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (*.f64 (/.f64 (PI.f64) k) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (*.f64 (/.f64 (PI.f64) k) (sqrt.f64 n)) (sqrt.f64 n))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (/.f64 (PI.f64) 1) (/.f64 n k))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(*.f64 (/.f64 (PI.f64) (neg.f64 k)) (neg.f64 n))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 1)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(pow.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k))) 3)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 2) 1/2)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(pow.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3) 1/3)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k))) 2)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(pow.f64 (/.f64 (/.f64 k n) (PI.f64)) -1)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(pow.f64 (/.f64 (/.f64 (/.f64 k n) (PI.f64)) 1) -1)
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(neg.f64 (/.f64 (PI.f64) (/.f64 (neg.f64 k) n)))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 2))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(log.f64 (pow.f64 (exp.f64 (PI.f64)) (/.f64 n k)))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (PI.f64) (/.f64 n k)))))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(cbrt.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(cbrt.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 (/.f64 k n) 3)))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(expm1.f64 (log1p.f64 (*.f64 (PI.f64) (/.f64 n k))))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(exp.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) 1))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (/.f64 n k))) 1) 1))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) 3))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (PI.f64) (/.f64 n k)))) 1/3))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (PI.f64) (/.f64 n k)))) 2))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 k n) (PI.f64))) -1))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(log1p.f64 (expm1.f64 (*.f64 (PI.f64) (/.f64 n k))))
(*.f64 (PI.f64) (/.f64 n k))
(*.f64 n (/.f64 (PI.f64) k))
(+.f64 0 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2)))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2))) (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))) 1)
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(*.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2) 1)
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(*.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(*.f64 1 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(*.f64 (pow.f64 2 3/2) (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3/2))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(*.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3/2) (pow.f64 2 3/2))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/4) (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/4))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 4) (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)))) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n))) 4))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))))) (pow.f64 (cbrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k)))) 4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 2) 3/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n))) 2) 3/2) (pow.f64 (cbrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n))) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k)))) 2) 3/2) (pow.f64 (cbrt.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k)))) 3/2))
(*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 5/4) (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 1/4))
(*.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 1/4) (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 5/4))
(*.f64 (pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 1/4) (pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 5/4))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(log.f64 (exp.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2)))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 9/2))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2)))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 3/2 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1) 3/2))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 (*.f64 (*.f64 3/2 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1) 1))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 3))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 1/2) 3))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 1) 3))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 9/2)) 1/3))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 3/4))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 (*.f64 3/4 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)))) 2))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2))) 3/4) 2))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2)))
(pow.f64 (exp.f64 3/2) (fma.f64 -1 (log.f64 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(pow.f64 (*.f64 n (*.f64 2 (/.f64 (PI.f64) k))) 3/2)
(pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 2 n)) 3/2)

eval326.0ms (2.7%)

Compiler

Compiled 13243 to 8297 computations (37.3% saved)

prune306.0ms (2.6%)

Pruning

47 alts after pruning (39 fresh and 8 done)

PrunedKeptTotal
New79622818
Fresh131730
Picked011
Done178
Total81047857
Accurracy
100.0%
Counts
857 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.8%
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) 2)
78.2%
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3)
45.0%
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6) 3)
32.3%
(pow.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2) 1/3)
✓32.3%
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 1/3)
22.2%
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 3) 1/6)
45.0%
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6) 3)
22.2%
(pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3) 8) 1/6)
49.6%
(pow.f64 (*.f64 (/.f64 k (PI.f64)) (/.f64 (/.f64 1 n) 2)) -1/2)
49.9%
(pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/2)
49.9%
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
49.5%
(pow.f64 (*.f64 k (*.f64 (/.f64 1 n) (/.f64 1/2 (PI.f64)))) -1/2)
✓81.6%
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3/2)
48.4%
(pow.f64 (cbrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64))))) 3/2)
48.4%
(pow.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k)))) 3/2)
48.4%
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 3/2)
✓66.2%
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
49.8%
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (/.f64 k n)))
✓99.4%
(/.f64 1 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))))
✓66.1%
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
48.8%
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))))
49.8%
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k (PI.f64)) (+.f64 n n))))
49.9%
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
✓83.1%
(/.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
49.9%
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n)))))
66.2%
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))))
48.6%
(*.f64 (sqrt.f64 (/.f64 n k)) (sqrt.f64 (*.f64 (PI.f64) 2)))
66.2%
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k (PI.f64)))) (sqrt.f64 n))
48.7%
(*.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n)) (sqrt.f64 2))
48.6%
(*.f64 (sqrt.f64 (*.f64 n (/.f64 2 k))) (sqrt.f64 (PI.f64)))
48.6%
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) (sqrt.f64 (PI.f64)))
81.7%
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -2) (/.f64 -1 n)) (-.f64 1 k)) k))
✓82.1%
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
82.3%
(sqrt.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k)) k))
48.8%
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
48.9%
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
78.9%
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))) k))
48.9%
(sqrt.f64 (/.f64 2 (/.f64 (/.f64 k n) (PI.f64))))
48.9%
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
48.8%
(sqrt.f64 (*.f64 (*.f64 (/.f64 2 k) n) (PI.f64)))
48.8%
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
48.9%
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
48.9%
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
✓48.9%
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
45.4%
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) 1/2))
34.6%
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))
34.5%
(cbrt.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -3/2))
Compiler

Compiled 589 to 471 computations (20% saved)

regimes252.0ms (2.1%)

Counts
84 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 2 k) n) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (/.f64 2 (/.f64 (/.f64 k n) (PI.f64))))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (*.f64 2 (PI.f64)) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/2)
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n)))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k (PI.f64)) (+.f64 n n))))
(pow.f64 (*.f64 k (*.f64 (/.f64 1 n) (/.f64 1/2 (PI.f64)))) -1/2)
(pow.f64 (*.f64 (/.f64 k (PI.f64)) (/.f64 (/.f64 1 n) 2)) -1/2)
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 n (/.f64 2 k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n)) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k n))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k (PI.f64)))) (sqrt.f64 n))
(*.f64 (sqrt.f64 (/.f64 n k)) (sqrt.f64 (*.f64 (PI.f64) 2)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (/.f64 k n)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))
(cbrt.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k)))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64))))) 3/2)
(exp.f64 (*.f64 (log.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) -1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) 1/2))
(*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2))
(pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3) 8) 1/6)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3) 1/6)
(pow.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) (/.f64 1 k)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -2) (/.f64 -1 n)) (-.f64 1 k)) k))
(/.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
(*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
(/.f64 1 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 k)))
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 k)) (sqrt.f64 (*.f64 n (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 (PI.f64) n))) (sqrt.f64 k))
(*.f64 (/.f64 1 (sqrt.f64 k)) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))) k))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3/2)
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) 2)
(sqrt.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k)) k))
(/.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (sqrt.f64 k))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (+.f64 1 (*.f64 2 (*.f64 k -1/2)))) (sqrt.f64 k))
(*.f64 (/.f64 1 (sqrt.f64 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))))
(*.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) (*.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 k -1/2)))
(*.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) 1) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (sqrt.f64 k)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)
(/.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n)))) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 k -1/2))) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 k 1/2))) (sqrt.f64 k))
(*.f64 (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (*.f64 k 1/2))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) n)) (+.f64 (sqrt.f64 2) (*.f64 -1/2 (*.f64 k (*.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n))) (sqrt.f64 2)))))) (sqrt.f64 k))
Outputs
(*.f64 (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (*.f64 k 1/2))))
Calls

4 calls:

73.0ms
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
69.0ms
n
44.0ms
(*.f64 (*.f64 2 (PI.f64)) n)
41.0ms
k
Results
AccuracySegmentsBranch
99.6%1k
99.6%1n
99.6%1(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
99.6%1(*.f64 (*.f64 2 (PI.f64)) n)
Compiler

Compiled 1028 to 603 computations (41.3% saved)

regimes243.0ms (2%)

Counts
82 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 2 k) n) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (/.f64 2 (/.f64 (/.f64 k n) (PI.f64))))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (*.f64 2 (PI.f64)) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/2)
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n)))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k (PI.f64)) (+.f64 n n))))
(pow.f64 (*.f64 k (*.f64 (/.f64 1 n) (/.f64 1/2 (PI.f64)))) -1/2)
(pow.f64 (*.f64 (/.f64 k (PI.f64)) (/.f64 (/.f64 1 n) 2)) -1/2)
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 n (/.f64 2 k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n)) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k n))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k (PI.f64)))) (sqrt.f64 n))
(*.f64 (sqrt.f64 (/.f64 n k)) (sqrt.f64 (*.f64 (PI.f64) 2)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (/.f64 k n)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))
(cbrt.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k)))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64))))) 3/2)
(exp.f64 (*.f64 (log.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) -1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) 1/2))
(*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2))
(pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3) 8) 1/6)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3) 1/6)
(pow.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) (/.f64 1 k)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -2) (/.f64 -1 n)) (-.f64 1 k)) k))
(/.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
(*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
(/.f64 1 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 k)))
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 k)) (sqrt.f64 (*.f64 n (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 (PI.f64) n))) (sqrt.f64 k))
(*.f64 (/.f64 1 (sqrt.f64 k)) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))) k))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3/2)
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) 2)
(sqrt.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k)) k))
(/.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (sqrt.f64 k))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (+.f64 1 (*.f64 2 (*.f64 k -1/2)))) (sqrt.f64 k))
(*.f64 (/.f64 1 (sqrt.f64 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))))
(*.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) (*.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 k -1/2)))
(*.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) 1) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (sqrt.f64 k)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)
(/.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n)))) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 k -1/2))) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 k 1/2))) (sqrt.f64 k))
Outputs
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 k 1/2))) (sqrt.f64 k))
Calls

4 calls:

82.0ms
(*.f64 (*.f64 2 (PI.f64)) n)
78.0ms
n
37.0ms
k
22.0ms
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
Results
AccuracySegmentsBranch
99.6%1k
99.6%1n
99.6%1(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
99.6%1(*.f64 (*.f64 2 (PI.f64)) n)
Compiler

Compiled 983 to 578 computations (41.2% saved)

regimes331.0ms (2.8%)

Counts
81 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 2 k) n) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (/.f64 2 (/.f64 (/.f64 k n) (PI.f64))))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (*.f64 2 (PI.f64)) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/2)
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n)))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k (PI.f64)) (+.f64 n n))))
(pow.f64 (*.f64 k (*.f64 (/.f64 1 n) (/.f64 1/2 (PI.f64)))) -1/2)
(pow.f64 (*.f64 (/.f64 k (PI.f64)) (/.f64 (/.f64 1 n) 2)) -1/2)
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 n (/.f64 2 k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n)) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k n))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k (PI.f64)))) (sqrt.f64 n))
(*.f64 (sqrt.f64 (/.f64 n k)) (sqrt.f64 (*.f64 (PI.f64) 2)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (/.f64 k n)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))
(cbrt.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k)))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64))))) 3/2)
(exp.f64 (*.f64 (log.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) -1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) 1/2))
(*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2))
(pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3) 8) 1/6)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3) 1/6)
(pow.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) (/.f64 1 k)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -2) (/.f64 -1 n)) (-.f64 1 k)) k))
(/.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
(*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
(*.f64 (sqrt.f64 (/.f64 1 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
(/.f64 1 (/.f64 (sqrt.f64 k) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (-.f64 1/2 (*.f64 k 1/2)))))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (*.f64 n (PI.f64))) (sqrt.f64 k)))
(*.f64 (/.f64 (sqrt.f64 2) (sqrt.f64 k)) (sqrt.f64 (*.f64 n (PI.f64))))
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 (PI.f64) n))) (sqrt.f64 k))
(*.f64 (/.f64 1 (sqrt.f64 k)) (*.f64 (sqrt.f64 2) (sqrt.f64 (*.f64 n (PI.f64)))))
(sqrt.f64 (/.f64 (exp.f64 (*.f64 (-.f64 1 k) (log.f64 (*.f64 (PI.f64) (+.f64 n n))))) k))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)) 3/2)
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (pow.f64 (*.f64 2 (*.f64 (PI.f64) n)) (-.f64 1 k)))))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k) 1/4) 2)
(sqrt.f64 (/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) k)) k))
(/.f64 (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))) (sqrt.f64 k))
(/.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (+.f64 1 (*.f64 2 (*.f64 k -1/2)))) (sqrt.f64 k))
(*.f64 (/.f64 1 (sqrt.f64 k)) (exp.f64 (*.f64 1/2 (*.f64 (-.f64 1 k) (log.f64 (*.f64 2 (*.f64 n (PI.f64))))))))
(*.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) (*.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (pow.f64 k -1/2)))
(*.f64 (/.f64 (pow.f64 (PI.f64) (-.f64 1/2 (*.f64 k 1/2))) 1) (/.f64 (pow.f64 (+.f64 n n) (-.f64 1/2 (*.f64 k 1/2))) (sqrt.f64 k)))
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))) 3)
(/.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) (+.f64 n n)))) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
(*.f64 (expm1.f64 (log1p.f64 (pow.f64 k -1/2))) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
Outputs
(*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
Calls

4 calls:

86.0ms
n
59.0ms
k
51.0ms
(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
37.0ms
(*.f64 (*.f64 2 (PI.f64)) n)
Results
AccuracySegmentsBranch
99.5%1k
99.5%1n
99.5%1(*.f64 (/.f64 1 (sqrt.f64 k)) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
99.5%1(*.f64 (*.f64 2 (PI.f64)) n)
Compiler

Compiled 964 to 573 computations (40.6% saved)

regimes152.0ms (1.3%)

Counts
58 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 2 k) n) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (/.f64 2 (/.f64 (/.f64 k n) (PI.f64))))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (*.f64 2 (PI.f64)) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/2)
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n)))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k (PI.f64)) (+.f64 n n))))
(pow.f64 (*.f64 k (*.f64 (/.f64 1 n) (/.f64 1/2 (PI.f64)))) -1/2)
(pow.f64 (*.f64 (/.f64 k (PI.f64)) (/.f64 (/.f64 1 n) 2)) -1/2)
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 n (/.f64 2 k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n)) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k n))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k (PI.f64)))) (sqrt.f64 n))
(*.f64 (sqrt.f64 (/.f64 n k)) (sqrt.f64 (*.f64 (PI.f64) 2)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (/.f64 k n)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))
(cbrt.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k)))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64))))) 3/2)
(exp.f64 (*.f64 (log.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) -1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) 1/2))
(*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2))
(pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3) 8) 1/6)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3) 1/6)
(pow.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) (/.f64 1 k)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -2) (/.f64 -1 n)) (-.f64 1 k)) k))
(/.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
Outputs
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
Calls

2 calls:

73.0ms
k
63.0ms
n
Results
AccuracySegmentsBranch
99.4%1k
99.4%1n
Compiler

Compiled 589 to 350 computations (40.6% saved)

regimes214.0ms (1.8%)

Counts
57 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 2 k) n) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (/.f64 2 (/.f64 (/.f64 k n) (PI.f64))))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (*.f64 2 (PI.f64)) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/2)
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n)))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k (PI.f64)) (+.f64 n n))))
(pow.f64 (*.f64 k (*.f64 (/.f64 1 n) (/.f64 1/2 (PI.f64)))) -1/2)
(pow.f64 (*.f64 (/.f64 k (PI.f64)) (/.f64 (/.f64 1 n) 2)) -1/2)
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 n (/.f64 2 k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n)) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k n))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k (PI.f64)))) (sqrt.f64 n))
(*.f64 (sqrt.f64 (/.f64 n k)) (sqrt.f64 (*.f64 (PI.f64) 2)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (/.f64 k n)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))
(cbrt.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k)))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64))))) 3/2)
(exp.f64 (*.f64 (log.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) -1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) 1/2))
(*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2))
(pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3) 8) 1/6)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3) 1/6)
(pow.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) (/.f64 1 k)))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -2) (/.f64 -1 n)) (-.f64 1 k)) k))
(/.f64 1 (sqrt.f64 (/.f64 k (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)))))
Outputs
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -2) (/.f64 -1 n)) (-.f64 1 k)) k))
Calls

2 calls:

115.0ms
n
83.0ms
k
Results
AccuracySegmentsBranch
99.5%2k
85.9%2n
Compiler

Compiled 575 to 341 computations (40.7% saved)

bsearch21.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
21.0ms
3.0331769333593947e-19
2.110142860034979e-16
Results
19.0ms128×body256valid
Compiler

Compiled 263 to 219 computations (16.7% saved)

regimes314.0ms (2.6%)

Counts
55 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 2 k) n) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (/.f64 2 (/.f64 (/.f64 k n) (PI.f64))))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (*.f64 2 (PI.f64)) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/2)
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n)))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k (PI.f64)) (+.f64 n n))))
(pow.f64 (*.f64 k (*.f64 (/.f64 1 n) (/.f64 1/2 (PI.f64)))) -1/2)
(pow.f64 (*.f64 (/.f64 k (PI.f64)) (/.f64 (/.f64 1 n) 2)) -1/2)
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 n (/.f64 2 k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n)) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k n))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k (PI.f64)))) (sqrt.f64 n))
(*.f64 (sqrt.f64 (/.f64 n k)) (sqrt.f64 (*.f64 (PI.f64) 2)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (/.f64 k n)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))
(cbrt.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k)))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64))))) 3/2)
(exp.f64 (*.f64 (log.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) -1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) 1/2))
(*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2))
(pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3) 8) 1/6)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3) 1/6)
(pow.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3)
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) (/.f64 1 k)))
Outputs
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k))
Calls

2 calls:

245.0ms
n
54.0ms
k
Results
AccuracySegmentsBranch
99.5%2k
86.4%4n
Compiler

Compiled 547 to 324 computations (40.8% saved)

bsearch23.0ms (0.2%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
22.0ms
3.0331769333593947e-19
2.110142860034979e-16
Results
20.0ms128×body256valid
Compiler

Compiled 247 to 195 computations (21.1% saved)

regimes100.0ms (0.8%)

Counts
53 → 2
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 2 k) n) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (/.f64 2 (/.f64 (/.f64 k n) (PI.f64))))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (*.f64 2 (PI.f64)) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/2)
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n)))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k (PI.f64)) (+.f64 n n))))
(pow.f64 (*.f64 k (*.f64 (/.f64 1 n) (/.f64 1/2 (PI.f64)))) -1/2)
(pow.f64 (*.f64 (/.f64 k (PI.f64)) (/.f64 (/.f64 1 n) 2)) -1/2)
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 n (/.f64 2 k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n)) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k n))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k (PI.f64)))) (sqrt.f64 n))
(*.f64 (sqrt.f64 (/.f64 n k)) (sqrt.f64 (*.f64 (PI.f64) 2)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (/.f64 k n)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))
(cbrt.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k)))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64))))) 3/2)
(exp.f64 (*.f64 (log.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) -1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) 1/2))
(*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2))
(pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3) 8) 1/6)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)) 3) 1/6)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 1/6) 3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2) 1/3)
(pow.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3) 1/6)
(pow.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2) 1/3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)) 1/6) 3)
(pow.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) (+.f64 n n)) k) 1/6) 3)
Outputs
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3) 8) 1/6)
Calls

2 calls:

51.0ms
k
33.0ms
n
Results
AccuracySegmentsBranch
71.9%2k
66.2%1n
Compiler

Compiled 521 to 312 computations (40.1% saved)

bsearch10.0ms (0.1%)

Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
9.0ms
4.341590333513853e+153
5.794232173538894e+153
Results
7.0ms48×body256valid
1.0ms8×body256infinite
Compiler

Compiled 104 to 88 computations (15.4% saved)

regimes57.0ms (0.5%)

Counts
44 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 2 k) n) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (/.f64 2 (/.f64 (/.f64 k n) (PI.f64))))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (*.f64 2 (PI.f64)) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/2)
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n)))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k (PI.f64)) (+.f64 n n))))
(pow.f64 (*.f64 k (*.f64 (/.f64 1 n) (/.f64 1/2 (PI.f64)))) -1/2)
(pow.f64 (*.f64 (/.f64 k (PI.f64)) (/.f64 (/.f64 1 n) 2)) -1/2)
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 n (/.f64 2 k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n)) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k n))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k (PI.f64)))) (sqrt.f64 n))
(*.f64 (sqrt.f64 (/.f64 n k)) (sqrt.f64 (*.f64 (PI.f64) 2)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (/.f64 k n)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))
(cbrt.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))))
(pow.f64 (cbrt.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n)))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k)))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64))))) 3/2)
(exp.f64 (*.f64 (log.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))) -1/2))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n))) 1/2))
(*.f64 (/.f64 1 (sqrt.f64 k)) (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))))
(/.f64 1 (/.f64 (sqrt.f64 k) (sqrt.f64 (*.f64 2 (*.f64 n (PI.f64))))))
(/.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) -1/2))
Outputs
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
Calls

2 calls:

23.0ms
n
22.0ms
k
Results
AccuracySegmentsBranch
66.2%1k
66.2%1n
Compiler

Compiled 422 to 255 computations (39.6% saved)

regimes50.0ms (0.4%)

Counts
34 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 2 k) n) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (/.f64 2 (/.f64 (/.f64 k n) (PI.f64))))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (*.f64 2 (PI.f64)) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/2)
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n)))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k (PI.f64)) (+.f64 n n))))
(pow.f64 (*.f64 k (*.f64 (/.f64 1 n) (/.f64 1/2 (PI.f64)))) -1/2)
(pow.f64 (*.f64 (/.f64 k (PI.f64)) (/.f64 (/.f64 1 n) 2)) -1/2)
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 n (/.f64 2 k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n)) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k n))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k (PI.f64)))) (sqrt.f64 n))
(*.f64 (sqrt.f64 (/.f64 n k)) (sqrt.f64 (*.f64 (PI.f64) 2)))
(/.f64 (sqrt.f64 (*.f64 2 (PI.f64))) (sqrt.f64 (/.f64 k n)))
(/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (sqrt.f64 k))
(cbrt.f64 (pow.f64 (*.f64 2 (/.f64 (PI.f64) (/.f64 k n))) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -3/2))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (PI.f64) k) (*.f64 n 2)) 3/2))
(cbrt.f64 (pow.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2))) -3/2))
Outputs
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k (PI.f64)))) (sqrt.f64 n))
Calls

2 calls:

25.0ms
k
17.0ms
n
Results
AccuracySegmentsBranch
66.2%1k
66.2%1n
Compiler

Compiled 317 to 190 computations (40.1% saved)

regimes35.0ms (0.3%)

Counts
26 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 2 k) n) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (/.f64 2 (/.f64 (/.f64 k n) (PI.f64))))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (*.f64 2 (PI.f64)) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/2)
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 n (*.f64 (PI.f64) 2)))))
(/.f64 1 (sqrt.f64 (/.f64 k (*.f64 (PI.f64) (+.f64 n n)))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2))))
(/.f64 1 (sqrt.f64 (/.f64 (/.f64 k (PI.f64)) (+.f64 n n))))
(pow.f64 (*.f64 k (*.f64 (/.f64 1 n) (/.f64 1/2 (PI.f64)))) -1/2)
(pow.f64 (*.f64 (/.f64 k (PI.f64)) (/.f64 (/.f64 1 n) 2)) -1/2)
(/.f64 1 (/.f64 1 (sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))))
(*.f64 (sqrt.f64 (*.f64 2 (/.f64 n k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 n (/.f64 2 k))) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (/.f64 (PI.f64) k) n)) (sqrt.f64 2))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k n))) (sqrt.f64 (PI.f64)))
Outputs
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
Calls

2 calls:

15.0ms
k
13.0ms
n
Results
AccuracySegmentsBranch
50.0%1k
50.0%1n
Compiler

Compiled 241 to 144 computations (40.2% saved)

regimes20.0ms (0.2%)

Counts
14 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 2 k) n) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (/.f64 2 (/.f64 (/.f64 k n) (PI.f64))))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (*.f64 2 (PI.f64)) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(pow.f64 (*.f64 (/.f64 k n) (/.f64 1/2 (PI.f64))) -1/2)
Outputs
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
Calls

2 calls:

9.0ms
k
9.0ms
n
Results
AccuracySegmentsBranch
49.9%1k
49.9%1n
Compiler

Compiled 122 to 75 computations (38.5% saved)

regimes17.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 2 k) n) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (/.f64 2 (/.f64 (/.f64 k n) (PI.f64))))
(sqrt.f64 (/.f64 n (/.f64 k (*.f64 (PI.f64) 2))))
(sqrt.f64 (/.f64 (*.f64 2 (PI.f64)) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) 2) (/.f64 k n)))
(sqrt.f64 (/.f64 (*.f64 (PI.f64) (*.f64 2 n)) k))
Outputs
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
Calls

2 calls:

8.0ms
n
7.0ms
k
Results
AccuracySegmentsBranch
48.9%1k
48.9%1n
Compiler

Compiled 104 to 64 computations (38.5% saved)

regimes12.0ms (0.1%)

Accuracy

Total -0.1b remaining (-0.4%)

Threshold costs -0.1b (-0.4%)

Counts
6 → 1
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 n (*.f64 (PI.f64) (/.f64 2 k))))
(sqrt.f64 (*.f64 n (/.f64 2 (/.f64 k (PI.f64)))))
(sqrt.f64 (*.f64 (*.f64 n (PI.f64)) (/.f64 2 k)))
(sqrt.f64 (*.f64 (*.f64 (/.f64 2 k) n) (PI.f64)))
(sqrt.f64 (*.f64 (/.f64 2 (/.f64 k n)) (PI.f64)))
Outputs
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
Calls

2 calls:

6.0ms
n
4.0ms
k
Results
AccuracySegmentsBranch
48.9%1k
48.9%1n
Compiler

Compiled 56 to 37 computations (33.9% saved)

simplify17.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
36×*-commutative
4×sub-neg
4×+-commutative
2×1-exp
2×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
088613
1109613
2112613
3114613
4115613
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (*.f64 k 1/2))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 k 1/2))) (sqrt.f64 k))
(*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
(if (<=.f64 k 1906546502743257/40564819207303340847894502572032) (*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -2) (/.f64 -1 n)) (-.f64 1 k)) k)))
(if (<=.f64 k 7788445287802241/81129638414606681695789005144064) (*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(if (<=.f64 k 4500000000000000091835670228391873842163372995697545485552375014086375273881652422649967796555486398748966696069865586869369439025651411483027579831582720) (*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3) 8) 1/6))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k (PI.f64)))) (sqrt.f64 n))
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
Outputs
(*.f64 (/.f64 1 (sqrt.f64 k)) (/.f64 (sqrt.f64 (*.f64 (PI.f64) (*.f64 2 n))) (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (*.f64 k 1/2))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 (PI.f64) (+.f64 n n))) (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (*.f64 k 1/2))) (sqrt.f64 k))
(*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 (*.f64 2 (PI.f64)) n) (/.f64 (-.f64 1 k) 2)))
(*.f64 (pow.f64 k -1/2) (pow.f64 (*.f64 n (*.f64 (PI.f64) 2)) (/.f64 (-.f64 1 k) 2)))
(/.f64 (pow.f64 (*.f64 (PI.f64) (*.f64 2 n)) (/.f64 (-.f64 1 k) 2)) (sqrt.f64 k))
(if (<=.f64 k 1906546502743257/40564819207303340847894502572032) (*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (sqrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (PI.f64) -2) (/.f64 -1 n)) (-.f64 1 k)) k)))
(if (<=.f64 k 7788445287802241/81129638414606681695789005144064) (*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (sqrt.f64 (/.f64 (pow.f64 (*.f64 (PI.f64) (+.f64 n n)) (-.f64 1 k)) k)))
(if (<=.f64 k 4500000000000000091835670228391873842163372995697545485552375014086375273881652422649967796555486398748966696069865586869369439025651411483027579831582720) (*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2)))) (pow.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) (/.f64 n k)) 3) 8) 1/6))
(*.f64 (pow.f64 k -1/2) (sqrt.f64 (*.f64 n (*.f64 (PI.f64) 2))))
(*.f64 (sqrt.f64 (/.f64 2 (/.f64 k (PI.f64)))) (sqrt.f64 n))
(pow.f64 (/.f64 (/.f64 k n) (*.f64 (PI.f64) 2)) -1/2)
(pow.f64 (*.f64 k (/.f64 (/.f64 1/2 (PI.f64)) n)) -1/2)
(sqrt.f64 (*.f64 (/.f64 n k) (*.f64 (PI.f64) 2)))
(sqrt.f64 (*.f64 (*.f64 (PI.f64) 2) (/.f64 n k)))
(sqrt.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) k) n)))
(sqrt.f64 (*.f64 2 (*.f64 n (/.f64 (PI.f64) k))))
Compiler

Compiled 227 to 174 computations (23.3% saved)

soundness144.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1608×fma-def
898×log-prod
504×exp-prod
472×exp-sum
366×sqr-pow
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
03025773
16625349
223764549
364834543
Stop Event
1×node limit
Compiler

Compiled 149 to 98 computations (34.2% saved)

end190.0ms (1.6%)

Compiler

Compiled 203 to 133 computations (34.5% saved)

Profiling

Loading profile data...