Compound Interest

Time bar (total: 9.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze241.0ms (2.5%)

Memory
36.1MiB live, 215.9MiB allocated; 296ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
12.5%12.5%87.4%0.1%0%0%0%4
25%25%74.9%0.1%0%0%0%5
25%25%74.9%0.1%0%0%0%6
39.1%39%60.9%0.1%0%0%0%7
44.5%44.5%55.4%0.1%0%0%0%8
55.3%55%44.5%0.1%0%0.4%0%9
59.3%58.7%40.4%0.1%0%0.8%0%10
65.5%64.5%34%0.1%0%1.5%0%11
67.8%66.6%31.6%0.1%0%1.8%0%12
Compiler

Compiled 17 to 12 computations (29.4% saved)

sample4.6s (48.3%)

Memory
82.4MiB live, 4 908.3MiB allocated; 1.3s collecting garbage
Samples
1.9s4 608×1valid
1.5s1 642×2valid
195.0ms1 948×0valid
129.0ms1 937×0invalid
88.0ms58×3valid
Precisions
Click to see histograms. Total time spent on operations: 3.4s
ival-pow: 2.2s (66.3% of total)
adjust: 348.0ms (10.3% of total)
ival-div: 292.0ms (8.7% of total)
ival-mult: 228.0ms (6.8% of total)
ival-add: 145.0ms (4.3% of total)
ival-sub: 103.0ms (3.1% of total)
exact: 14.0ms (0.4% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain392.0ms (4.1%)

Memory
2.1MiB live, 517.3MiB allocated; 106ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1770-0-(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
6871(-4.4481322950614537e-256 1.0689476207578797e+41)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
350-2(-1.935731871870589e-174 -4.5409153133875144e+145)(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
00-0-n
00-0-(+.f64 #s(literal 1 binary64) (/.f64 i n))
00-0-#s(literal 1 binary64)
00-0-i
00-0-(/.f64 i n)
00-0-(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
00-0-#s(literal 100 binary64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))cancellation1770
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)sensitivity1170
/.f64(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))n/u330
(/.f64 i n)underflow33
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)oflow-rescue220
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)overflow33
(/.f64 i n)overflow22
(+.f64 #s(literal 1 binary64) (/.f64 i n))overflow22
Confusion
Predicted +Predicted -
+1920
-2836
Precision
0.8727272727272727
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+19200
-28036
Precision?
0.8727272727272727
Recall?
1.0
Freqs
test
numberfreq
036
1124
263
333
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
167.0ms310×1valid
91.0ms128×2valid
7.0ms74×0valid
Compiler

Compiled 131 to 34 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 237.0ms
ival-pow: 180.0ms (76% of total)
adjust: 19.0ms (8% of total)
ival-div: 18.0ms (7.6% of total)
ival-add: 6.0ms (2.5% of total)
ival-sub: 6.0ms (2.5% of total)
ival-mult: 6.0ms (2.5% of total)
ival-true: 1.0ms (0.4% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)

preprocess235.0ms (2.4%)

Memory
17.7MiB live, 155.3MiB allocated; 21ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032100
183100
220896
356896
4137392
5712592
01015
01615
12715
24615
39315
421115
5112615
0848115
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(*.f64 (*.f64 (/.f64 #s(literal 100 binary64) i) n) (-.f64 (pow.f64 (-.f64 (/.f64 i n) #s(literal -1 binary64)) n) #s(literal 1 binary64)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.4%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

series44.0ms (0.5%)

Memory
-14.9MiB live, 29.2MiB allocated; 7ms collecting garbage
Counts
10 → 97
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
#s(literal 1 binary64)
(/.f64 i n)
i
n
Outputs
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 1))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))))
#s(approx (+ 1 (/ i n)) #s(hole binary64 1))
#s(approx (+ 1 (/ i n)) #s(hole binary64 (+ 1 (/ i n))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx i #s(hole binary64 i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))))
#s(approx (+ 1 (/ i n)) #s(hole binary64 (/ i n)))
#s(approx (+ 1 (/ i n)) #s(hole binary64 (* i (+ (/ 1 i) (/ 1 n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i)) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (* -1 (log n)))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))))
#s(approx (+ 1 (/ i n)) #s(hole binary64 (/ (+ i n) n)))
#s(approx n #s(hole binary64 n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (exp i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
i
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)
5.0ms
i
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)
4.0ms
n
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)
3.0ms
n
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)
3.0ms
i
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)

rewrite272.0ms (2.8%)

Memory
28.7MiB live, 215.7MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06285407
06394961
142684800
084684376
Stop Event
iter limit
node limit
iter limit
Counts
107 → 128
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
#s(literal 100 binary64)
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
#s(literal 1 binary64)
(/.f64 i n)
i
n
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 1))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))))
#s(approx (+ 1 (/ i n)) #s(hole binary64 1))
#s(approx (+ 1 (/ i n)) #s(hole binary64 (+ 1 (/ i n))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx i #s(hole binary64 i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))))
#s(approx (+ 1 (/ i n)) #s(hole binary64 (/ i n)))
#s(approx (+ 1 (/ i n)) #s(hole binary64 (* i (+ (/ 1 i) (/ 1 n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -100 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -100 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -100 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (* 100 (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i))) i)) (* 100 (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))) i))) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i)) i))) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (/ (+ (* -1 (* n (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))))) (/ (* n (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5)))))) i)) i)) (* (pow n 3) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) i))) i))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) 1)))
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (/ (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i))))))) i))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) i))) i)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (* -1 (/ (+ (* -1 (* (pow n 2) (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))))) (* -1 (/ (+ (* -1 (/ (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/3 (pow n 4)) (+ (* -1/6 (pow n 6)) (* 1/2 (pow n 5))))) i)) (* (exp (* n (+ (log (neg (/ 1 n))) (* -1 (log (/ -1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) i))) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (* -1 (log n)))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))))
#s(approx (+ 1 (/ i n)) #s(hole binary64 (/ (+ i n) n)))
#s(approx n #s(hole binary64 n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (exp i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
Outputs
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(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
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#s(literal 100 binary64)
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
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#s(approx i i)
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (pow.f64 n #s(literal 3 binary64))) i)) i))
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) i) (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n)) #s(literal 1 binary64)))
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#s(approx (pow (+ 1 (/ i n)) n) (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n))
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) i) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i)))) i) #s(literal -1 binary64) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n) (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)))) i))) i) #s(literal -1 binary64) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))) #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) i) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i)))) i) #s(literal -1 binary64) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n) (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal 1/2 binary64)))) i)))) i))) i) #s(literal -1 binary64) (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))))) n (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) n (*.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (*.f64 i i))))))) n (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))))))) n (*.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 100 binary64))) n (*.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (/.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64))))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) (*.f64 i i))))))) n (/.f64 (log.f64 i) (*.f64 i i))))) (/.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 binary64)))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64))) n (pow.f64 i #s(literal -1 binary64)))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (-.f64 (log.f64 i) (log.f64 n)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) i)))))) n (/.f64 (log.f64 i) i)))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64))) n (pow.f64 i #s(literal -1 binary64)))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (-.f64 (log.f64 i) (log.f64 n)) n #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)) n #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (pow.f64 (-.f64 (log.f64 i) (log.f64 n)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64))) n (pow.f64 i #s(literal -1 binary64)))) n (neg.f64 (log.f64 n))) (log.f64 i)) n #s(literal 1 binary64)))
#s(approx (+ 1 (/ i n)) (/.f64 (+.f64 n i) n))
#s(approx n n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) n) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (expm1.f64 i) i)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (*.f64 (pow.f64 n #s(literal 3 binary64)) i)) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (expm1.f64 i) i))))) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (expm1.f64 i) i)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (exp.f64 i) i))) (pow.f64 i #s(literal -1 binary64))) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (-.f64 (+.f64 (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (*.f64 (pow.f64 n #s(literal 3 binary64)) i))) (/.f64 (exp.f64 i) i)) (pow.f64 i #s(literal -1 binary64)))) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (pow.f64 n #s(literal 3 binary64))))) #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (exp.f64 i))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n))))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (pow.f64 n #s(literal 3 binary64))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (*.f64 (fma.f64 #s(literal 50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) n))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64))) n))) n))) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (neg.f64 (/.f64 (expm1.f64 i) i))) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (exp.f64 i) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i))) n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (*.f64 n i)) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)))) n))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i))) n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) (*.f64 i i)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)))) n) #s(literal -1 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)))) n))) n) #s(literal -1 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) (*.f64 i i)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)))) n) #s(literal -1 binary64) (exp.f64 i)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)))) n))) n) #s(literal -1 binary64) (exp.f64 i)))

eval36.0ms (0.4%)

Memory
-10.7MiB live, 35.1MiB allocated; 5ms collecting garbage
Compiler

Compiled 5 640 to 838 computations (85.1% saved)

prune20.0ms (0.2%)

Memory
-17.6MiB live, 34.4MiB allocated; 10ms collecting garbage
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New12018138
Fresh000
Picked101
Done000
Total12118139
Accuracy
99.9%
Counts
139 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
76.4%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
56.3%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) n #s(literal 0 binary64)))))) (/.f64 i n)))
64.2%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (/.f64 i n)))
34.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
18.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
37.7%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
40.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
14.8%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
61.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
42.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
76.2%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
49.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
51.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
69.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
13.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
46.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
17.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) i))
64.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n))
Compiler

Compiled 878 to 580 computations (33.9% saved)

series47.0ms (0.5%)

Memory
-2.3MiB live, 88.3MiB allocated; 7ms collecting garbage
Counts
35 → 319
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
#s(literal 100 binary64)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(*.f64 n i)
(-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64))
(pow.f64 n #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1/3 binary64)
#s(literal 1/6 binary64)
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
Outputs
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* 100 n)))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* 100 i)))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ i n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx i #s(hole binary64 i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 i))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 1))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 n))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- 1/2 (* 1/2 (/ 1 n))))))
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#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (/ (+ (* -1/2 (pow i 2)) (* i (* n (+ 1 (* 1/2 i))))) n)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (* -1/2 (/ i n))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ -1/2 n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 n) 1/2) n)))
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
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#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* i (* n (- (* -1/2 i) 1/2)))) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))) n)))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* 1/3 (/ i n))))
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#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* 1/3 i) (* n (- (+ (* -1/2 i) (* n (+ 1/2 (* 1/6 i)))) 1/2))) n)))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (/ 1/3 (pow n 2))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (/ (+ 1/3 (* -1/2 n)) (pow n 2))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (/ (+ 1/3 (* n (- (* 1/6 n) 1/2))) (pow n 2))))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(hole binary64 (/ 1/3 (pow n 2))))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(hole binary64 (/ (+ 1/3 (* 1/6 (pow n 2))) (pow n 2))))
#s(approx (pow n -2) #s(hole binary64 (/ 1 (pow n 2))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 -1/2))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (- (* 1/2 n) 1/2)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))))
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (* n (+ (log i) (* -1 (log n)))) i)))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* 100 (- (exp i) 1))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (* -1/2 (/ (pow i 2) n))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* i (+ 1 (* 1/2 i)))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (+ (* -1/2 (/ (pow i 2) n)) (* i (+ 1 (* 1/2 i))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 n)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (+ 1/2 (* 1/6 i)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (* 1/6 i))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n))))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 1/6))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (- 1/6 (* 1/2 (/ 1 n)))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (- (+ 1/6 (/ 1/3 (pow n 2))) (* 1/2 (/ 1 n)))))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(hole binary64 (+ 1/6 (* 1/3 (/ 1 (pow n 2))))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* 1/2 n)))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* n (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (* -1/6 i) 1/2)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (* -1/2 i) 1/2) n)) (* -1/6 i)) 1/2)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1/2 i) (* 1/3 (/ i n))) 1/2) n)) (* -1/6 i)) 1/2)))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (+ 1/6 (* -1 (/ (- 1/2 (* 1/3 (/ 1 n))) n)))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
n
@0
((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (+ (* (pow n -2) 1/3) 1/6) (pow n -2) -2 1/3 1/6 (* (- 1/2 (/ 1/2 n)) n) (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i))
6.0ms
i
@0
((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (+ (* (pow n -2) 1/3) 1/6) (pow n -2) -2 1/3 1/6 (* (- 1/2 (/ 1/2 n)) n) (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i))
6.0ms
i
@-inf
((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (+ (* (pow n -2) 1/3) 1/6) (pow n -2) -2 1/3 1/6 (* (- 1/2 (/ 1/2 n)) n) (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i))
5.0ms
i
@inf
((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (+ (* (pow n -2) 1/3) 1/6) (pow n -2) -2 1/3 1/6 (* (- 1/2 (/ 1/2 n)) n) (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i))
5.0ms
n
@-inf
((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) 1/2 (/ 1/2 n) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (+ (* (pow n -2) 1/3) 1/6) (pow n -2) -2 1/3 1/6 (* (- 1/2 (/ 1/2 n)) n) (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i))

rewrite281.0ms (2.9%)

Memory
-19.1MiB live, 288.8MiB allocated; 120ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133716208
0138514698
0829313891
Stop Event
iter limit
node limit
iter limit
Counts
354 → 445
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
#s(literal 100 binary64)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
(*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
(fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)
(fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
(*.f64 n i)
(-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64))
(pow.f64 n #s(literal -2 binary64))
#s(literal -2 binary64)
#s(literal 1/3 binary64)
#s(literal 1/6 binary64)
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* 100 n)))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* 100 i)))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ i n)))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* -1/2 (/ (pow i 2) n))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (/ (+ (* -1/2 (pow i 2)) (* i (* n (+ 1 (* 1/2 i))))) n)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (* -1/2 (/ i n))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ -1/2 n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 n) 1/2) n)))
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* 1/3 (/ (pow i 2) n))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* i (* n (- (* -1/2 i) 1/2)))) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))) n)))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* 1/3 (/ i n))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* 1/3 i) (* n (- (* -1/2 i) 1/2))) n)))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* 1/3 i) (* n (- (+ (* -1/2 i) (* n (+ 1/2 (* 1/6 i)))) 1/2))) n)))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (/ 1/3 (pow n 2))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (/ (+ 1/3 (* -1/2 n)) (pow n 2))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (/ (+ 1/3 (* n (- (* 1/6 n) 1/2))) (pow n 2))))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(hole binary64 (/ 1/3 (pow n 2))))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(hole binary64 (/ (+ 1/3 (* 1/6 (pow n 2))) (pow n 2))))
#s(approx (pow n -2) #s(hole binary64 (/ 1 (pow n 2))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 -1/2))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (- (* 1/2 n) 1/2)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (* n (+ (log i) (* -1 (log n)))) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (* n (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* 100 (- (exp i) 1))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (* -1/2 (/ (pow i 2) n))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* i (+ 1 (* 1/2 i)))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (+ (* -1/2 (/ (pow i 2) n)) (* i (+ 1 (* 1/2 i))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 n)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (+ 1/2 (* 1/6 i)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (* 1/6 i))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/2 (+ (* -1/2 (/ i n)) (+ (* 1/6 i) (* 1/3 (/ i (pow n 2)))))) (* 1/2 (/ 1 n))))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 1/6))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (- 1/6 (* 1/2 (/ 1 n)))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (- (+ 1/6 (/ 1/3 (pow n 2))) (* 1/2 (/ 1 n)))))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(hole binary64 (+ 1/6 (* 1/3 (/ 1 (pow n 2))))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* 1/2 n)))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* n (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
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#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
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#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))))
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#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (* -1/6 i) 1/2)))))
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#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (+ 1/6 (* -1 (/ (- 1/2 (* 1/3 (/ 1 n))) n)))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
Outputs
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i
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n))
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#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i)))) n)) #s(literal 100 binary64) (fma.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (*.f64 i i))) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 5 binary64)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 n #s(literal 6 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/3 binary64)))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i))))))
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#s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (/.f64 n i)) (log.f64 (/.f64 #s(literal -1 binary64) n))))
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)))
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#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 (neg.f64 i) (-.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 i #s(literal -1 binary64)))))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) n (/.f64 (fma.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i)) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (pow.f64 n #s(literal 3 binary64)))) i))) i)))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) i))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) (/.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (/.f64 (fma.f64 (pow.f64 n #s(literal 4 binary64)) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n))) i))) i)))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) n (*.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i) #s(literal 100 binary64))) (*.f64 n n)))
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#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n) #s(literal 100 binary64)))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64))) n (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)))) n))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64))) n (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64))))) n (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 100 binary64))) n))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i)) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/3 binary64))))) n (-.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64))))) n (*.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64))) #s(literal 100 binary64))) n (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 100 binary64))) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64))) n (pow.f64 i #s(literal -1 binary64)))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i)) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/3 binary64))))) n (/.f64 (log.f64 i) i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -1 binary64)))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (/.f64 n i)) (log.f64 i)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (fma.f64 (fma.f64 (/.f64 n (*.f64 i i)) #s(literal -1/2 binary64) (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 n (pow.f64 i #s(literal 3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) n (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (log (+ 1 (/ i n))) (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)))
#s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (/.f64 n i)) (log.f64 i)))
#s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 (fma.f64 (/.f64 n (*.f64 i i)) #s(literal -1/2 binary64) (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)))
#s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 n (pow.f64 i #s(literal 3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) n (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)))
#s(approx n n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) n (*.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))))))) n (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))))) n (*.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) #s(literal 100 binary64))) n (*.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))))))) n (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (-.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (log.f64 i) i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64))) n (pow.f64 i #s(literal -1 binary64)))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i)) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/3 binary64))))) n (/.f64 (log.f64 i) i))) (*.f64 (pow.f64 i #s(literal -2 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -1 binary64)))) n (neg.f64 (log.f64 n))) (log.f64 i)) n))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64)))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n) i (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) n))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) n))
#s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n))
#s(approx (- 1/2 (/ 1/2 n)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n))
#s(approx (/ 1/2 n) (/.f64 #s(literal 1/2 binary64) n))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n) i (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n)))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (/.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/3 binary64)) (*.f64 n n)))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n #s(literal 1/3 binary64)) (*.f64 n n)))
#s(approx (+ (* (pow n -2) 1/3) 1/6) (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64)))
#s(approx (+ (* (pow n -2) 1/3) 1/6) (/.f64 (fma.f64 (*.f64 n n) #s(literal 1/6 binary64) #s(literal 1/3 binary64)) (*.f64 n n)))
#s(approx (pow n -2) (pow.f64 n #s(literal -2 binary64)))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(literal -1/2 binary64))
#s(approx (* (- 1/2 (/ 1/2 n)) n) (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) (*.f64 n n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) n (*.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i) #s(literal 100 binary64))) (*.f64 n n)))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))))))) n (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 i) i))) n))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) n))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 n) (*.f64 i i)) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 4 binary64)) i) #s(literal 1/24 binary64) (fma.f64 (pow.f64 i #s(literal -4 binary64)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) #s(literal 2 binary64)) (*.f64 i i))))))) n (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 (pow.f64 i #s(literal -3 binary64)) #s(literal 1/2 binary64)))) n (pow.f64 i #s(literal -2 binary64)))) n (/.f64 (log.f64 i) i))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) n) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (expm1.f64 i) i)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (*.f64 (pow.f64 n #s(literal 3 binary64)) i)) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (expm1.f64 i) i))))) n))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 (expm1.f64 i) #s(literal 100 binary64)))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -50 binary64) (*.f64 (expm1.f64 i) #s(literal 100 binary64))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -50 binary64) (*.f64 #s(literal 100 binary64) (+.f64 (expm1.f64 i) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -50 binary64) (fma.f64 (expm1.f64 i) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n)))) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i))
#s(approx (* (log (+ 1 (/ i n))) n) (+.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i) (/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64)) (*.f64 n n))))
#s(approx (* (log (+ 1 (/ i n))) n) (+.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64)) (*.f64 n n)))) i))
#s(approx (log (+ 1 (/ i n))) (/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i) n))
#s(approx (log (+ 1 (/ i n))) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) i) (/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64)) (*.f64 n n))) n))
#s(approx (log (+ 1 (/ i n))) (/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64)) (*.f64 n n)))) i) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) n) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (expm1.f64 i) i)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (*.f64 (pow.f64 n #s(literal 3 binary64)) i)) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (expm1.f64 i) i))))) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (expm1.f64 i) i)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (exp.f64 i) i))) (pow.f64 i #s(literal -1 binary64))) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (-.f64 (+.f64 (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 (*.f64 n n) i))) (/.f64 (exp.f64 i) i)) (pow.f64 i #s(literal -1 binary64)))) n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (*.f64 (*.f64 i i) (/.f64 (exp.f64 i) n)) #s(literal -1/2 binary64) (exp.f64 i)) (fma.f64 (exp.f64 i) (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 n n)))) #s(literal 1 binary64)))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (fma.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i (*.f64 (/.f64 (*.f64 i i) n) #s(literal -1/2 binary64))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i)) #s(literal 1 binary64)))
#s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64))
#s(approx (- 1/2 (/ 1/2 n)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n)) #s(literal 1 binary64)) n))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64)) n))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (*.f64 #s(literal 1/6 binary64) i)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (-.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (fma.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/6 binary64) i))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) n))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(literal 1/6 binary64))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n))))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(literal 1/6 binary64))
#s(approx (+ (* (pow n -2) 1/3) 1/6) (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)))
#s(approx (* (- 1/2 (/ 1/2 n)) n) (*.f64 #s(literal 1/2 binary64) n))
#s(approx (* (- 1/2 (/ 1/2 n)) n) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (/.f64 (*.f64 (expm1.f64 i) n) i) #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (expm1.f64 i) i)))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (exp.f64 i)) (*.f64 (pow.f64 n #s(literal 3 binary64)) i)) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (expm1.f64 i) i))))) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (expm1.f64 i) i)) n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (exp.f64 i) i))) (pow.f64 i #s(literal -1 binary64))) n))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (/.f64 (expm1.f64 i) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (-.f64 (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (*.f64 n n)) (/.f64 (exp.f64 i) i))) (pow.f64 i #s(literal -1 binary64))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -1/2 binary64) (-.f64 (+.f64 (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal -1/4 binary64) (fma.f64 (pow.f64 i #s(literal 6 binary64)) #s(literal -1/48 binary64) (*.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal -1/6 binary64)))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 (*.f64 n n) i))) (/.f64 (exp.f64 i) i)) (pow.f64 i #s(literal -1 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 #s(literal 50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64))) n))) n)))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 (expm1.f64 i) #s(literal 100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)) #s(literal -100 binary64) (*.f64 (*.f64 #s(literal 50 binary64) (*.f64 i i)) (exp.f64 i))) n))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 (expm1.f64 i) #s(literal 100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 50 binary64) (*.f64 i i)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) #s(literal -100 binary64) (*.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))))) n))) n))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) (*.f64 i i)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)))) n) #s(literal -1 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)))) n))) n) #s(literal -1 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal -1/3 binary64) (*.f64 (*.f64 i i) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) i))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal -1/4 binary64) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n))) n) #s(literal -1 binary64) i))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 i i) n) #s(literal 1/2 binary64) (neg.f64 i)) n)))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 i (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 3 binary64)) n) #s(literal 1/3 binary64) (*.f64 (*.f64 i i) #s(literal -1/2 binary64))) n))) n)))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 i i) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 i #s(literal 4 binary64)) n) #s(literal 1/4 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n))) n) #s(literal -1 binary64) (neg.f64 i)) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 #s(literal 50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64))) n))) n)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (*.f64 n i)) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)))) n))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) (*.f64 i i)) #s(literal 1/2 binary64) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)))) n) #s(literal -1 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) #s(literal 1/2 binary64)) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)))) n))) n) #s(literal -1 binary64) (exp.f64 i)) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (neg.f64 n) (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64)) i) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (neg.f64 n) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64)) i (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (neg.f64 n) (-.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64)) i (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64))) n))) #s(literal 1 binary64))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (neg.f64 n) (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (neg.f64 n) (-.f64 (fma.f64 #s(literal -1/6 binary64) i (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n))) #s(literal 1/2 binary64))))
#s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (neg.f64 n) (-.f64 (fma.f64 #s(literal -1/6 binary64) i (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) i (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) #s(literal 1/2 binary64)) n))) #s(literal 1/2 binary64))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (fma.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) n)) n) #s(literal -1 binary64) #s(literal 1/6 binary64)))
#s(approx (* (- 1/2 (/ 1/2 n)) n) (*.f64 (neg.f64 n) (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 #s(literal 50 binary64) (/.f64 (*.f64 (exp.f64 i) i) n) (*.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -50 binary64))) n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)) #s(literal 100 binary64) (*.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)) #s(literal -100 binary64))) n))) n)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 1/2 binary64) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n) (*.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (*.f64 n i)) (neg.f64 (*.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i)))) n))) n) #s(literal -1 binary64) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal 1/2 binary64) (neg.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) n)))) n) #s(literal -1 binary64) (/.f64 (expm1.f64 i) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (/.f64 (fma.f64 (*.f64 (exp.f64 i) i) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (exp.f64 i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) i) (neg.f64 (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 (pow.f64 i #s(literal 5 binary64)) #s(literal 1/6 binary64) (*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 1/4 binary64)))) n)))) n))) n) #s(literal -1 binary64) (/.f64 (expm1.f64 i) i)))

eval79.0ms (0.8%)

Memory
24.9MiB live, 114.8MiB allocated; 10ms collecting garbage
Compiler

Compiled 20 713 to 2 438 computations (88.2% saved)

prune35.0ms (0.4%)

Memory
-23.9MiB live, 73.7MiB allocated; 10ms collecting garbage
Pruning

28 alts after pruning (26 fresh and 2 done)

PrunedKeptTotal
New47620496
Fresh7613
Picked325
Done000
Total48628514
Accuracy
100.0%
Counts
514 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
27.4%
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (/.f64 i n))
61.0%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (/.f64 i n))
14.8%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n))) (/.f64 i n))
41.5%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
76.2%
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
76.2%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
56.3%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) n #s(literal 0 binary64)))))) (/.f64 i n)))
64.2%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (/.f64 i n)))
34.1%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
18.7%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
2.4%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
42.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
27.7%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
76.2%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
73.6%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
51.2%
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
14.8%
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) n))
44.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
47.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
54.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
47.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
69.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
13.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
37.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
54.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
8.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
45.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64)) n))))
46.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Compiler

Compiled 1 732 to 1 137 computations (34.4% saved)

series59.0ms (0.6%)

Memory
29.4MiB live, 121.0MiB allocated; 8ms collecting garbage
Counts
46 → 437
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
#s(literal 100 binary64)
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n)
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(/.f64 #s(literal 1/2 binary64) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64)) n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64)) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64)) n))
(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64)) n)
(+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64))
(fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n)))
(/.f64 (*.f64 i i) (*.f64 n n))
(*.f64 i i)
(*.f64 n n)
#s(literal 1/3 binary64)
(fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n)
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)
(-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) i)
#s(literal -1/2 binary64)
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)))
(-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n)
(+.f64 (/.f64 i n) #s(literal 1 binary64))
Outputs
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* 100 n)))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 100))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 1))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
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#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
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#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
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#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
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#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) #s(hole binary64 (+ n (* 1/2 (* i n)))))
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#s(approx (+ (* 1/6 i) 1/2) #s(hole binary64 (+ 1/2 (* 1/6 i))))
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#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
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#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) #s(hole binary64 n))
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#s(approx (/ (* i i) (* n n)) #s(hole binary64 (/ (pow i 2) (pow n 2))))
#s(approx (* i i) #s(hole binary64 (pow i 2)))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n)) #s(hole binary64 (* i (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n)) #s(hole binary64 (* i (- (+ 1/2 (* i (- 1/6 (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))
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#s(approx (- (* -1/2 i) 1/2) #s(hole binary64 -1/2))
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#s(approx (* -1/2 i) #s(hole binary64 (* -1/2 i)))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* 100 n)))
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#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))))
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#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 1))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ 1 i)))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))))
#s(approx (+ (/ i n) 1) #s(hole binary64 1))
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#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
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#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (/ (+ (* 100 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2))) (+ (* 100 (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3))) (* 100 (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))))) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1) i)))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) i)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))
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#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)))
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#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* 1/3 (/ (pow n 4) (pow i 3))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
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#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (+ (* 1/3 (/ (pow n 3) (pow i 3))) (/ n i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* 1/3 (/ (pow i 2) n))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* i (* n (- (* -1/2 i) 1/2)))) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))) n)))
#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (* -1/2 (/ i n))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ -1/2 n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 n) 1/2) n)))
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) #s(hole binary64 (* 1/3 (/ (pow i 2) n))))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* i (* n (- (* -1/2 i) 1/2)))) n)))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))) n)))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) #s(hole binary64 (* 1/3 (/ (pow i 2) (pow n 2)))))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* i (* n (- (* -1/2 i) 1/2)))) (pow n 2))))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))) (pow n 2))))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) #s(hole binary64 (* 1/3 (/ (pow i 2) (pow n 2)))))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* i (* n (- (* -1/2 i) 1/2)))) (pow n 2))))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (* n (+ 1/2 (* 1/6 i)))) (* i (- (* -1/2 i) 1/2))))) (pow n 2))))
#s(approx (* n n) #s(hole binary64 (pow n 2)))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n)) #s(hole binary64 (/ (* i (- (* -1/2 i) 1/2)) n)))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n)) #s(hole binary64 (/ (+ (* i (* n (+ 1/2 (* 1/6 i)))) (* i (- (* -1/2 i) 1/2))) n)))
#s(approx (/ (* (- (* -1/2 i) 1/2) i) n) #s(hole binary64 (/ (* i (- (* -1/2 i) 1/2)) n)))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (* 100 (* n (+ (log i) (* -1 (log n)))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (* n (+ (* 100 (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))) (* 100 (+ (log i) (* -1 (log n))))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (* n (+ (* 100 (+ (log i) (* -1 (log n)))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))))) (* 100 (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (* n (+ (* 100 (+ (log i) (* -1 (log n)))) (* n (+ (* 100 (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)))))))) (* 100 (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))))))))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (* -1 (log n)))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))))
#s(approx (+ (/ i n) 1) #s(hole binary64 (/ (+ i n) n)))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (* 100 (/ (- (exp i) 1) i))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (* -1/2 (/ (pow i 2) n))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 n)))))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) #s(hole binary64 (+ 1 (* i (+ 1/2 (* 1/6 i))))))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) #s(hole binary64 (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) #s(hole binary64 (* i (+ 1/2 (* 1/6 i)))))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) #s(hole binary64 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) #s(hole binary64 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n)) #s(hole binary64 (* i (+ 1/2 (* 1/6 i)))))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n)) #s(hole binary64 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (* 100 (- (exp i) 1))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (exp i)))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) #s(hole binary64 (* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) #s(hole binary64 (* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)))))))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ (* -1 (* i (- (* -1/2 i) 1/2))) (* -1/3 (/ (pow i 2) n))) n)) (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (* i (- (* -1/2 i) 1/2))) (* -1/3 (/ (pow i 2) n))) n)) (* i (+ 1/2 (* 1/6 i))))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
Calls

6 calls:

TimeVariablePointExpression
13.0ms
i
@inf
((* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (+ (* (+ (* 1/6 i) 1/2) i) 1) (+ (* 1/6 i) 1/2) 1/6 1/2 1 (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) (/ 1/2 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (/ (* i i) (* n n)) (* i i) (* n n) 1/3 (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n)) (/ (* (- (* -1/2 i) 1/2) i) n) (* (- (* -1/2 i) 1/2) i) (- (* -1/2 i) 1/2) (* -1/2 i) -1/2 (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (* 100 (- (pow (+ (/ i n) 1) n) 1)) (- (pow (+ (/ i n) 1) n) 1) (pow (+ (/ i n) 1) n) (+ (/ i n) 1))
9.0ms
i
@-inf
((* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (+ (* (+ (* 1/6 i) 1/2) i) 1) (+ (* 1/6 i) 1/2) 1/6 1/2 1 (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) (/ 1/2 n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (/ (* i i) (* n n)) (* i i) (* n n) 1/3 (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n)) (/ (* (- (* -1/2 i) 1/2) i) n) (* (- (* -1/2 i) 1/2) i) (- (* -1/2 i) 1/2) (* -1/2 i) -1/2 (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (* 100 (- (pow (+ (/ i n) 1) n) 1)) (- (pow (+ (/ i n) 1) n) 1) (pow (+ (/ i n) 1) n) (+ (/ i n) 1))
6.0ms
n
@0
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5.0ms
n
@-inf
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5.0ms
n
@inf
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rewrite342.0ms (3.6%)

Memory
20.9MiB live, 420.6MiB allocated; 106ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158222615
0164120748
0836819809
Stop Event
iter limit
node limit
iter limit
Counts
483 → 541
Calls
Call 1
Inputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
#s(literal 100 binary64)
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)
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(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
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(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n)
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
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(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64)) n))))
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(*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64)) n)
(+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64))
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(/.f64 (*.f64 i i) (*.f64 n n))
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#s(literal 1/3 binary64)
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 1))
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#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
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#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx i #s(hole binary64 i))
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#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) #s(hole binary64 (+ n (* 1/2 (* i n)))))
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#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
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#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) #s(hole binary64 n))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
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#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
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#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 1))
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#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ 1 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))))
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#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4))))) (pow i 3)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) 1) i)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))
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#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (/ (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4)))) (pow i 2)) (/ (* (pow n 2) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) 1)))
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#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
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#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* -1/2 (/ (pow n 3) (pow i 2))) (+ (* 1/3 (/ (pow n 4) (pow i 3))) (+ (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) (/ (pow n 2) i))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
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#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (+ (log (/ 1 n)) (+ (* -1 (log (/ 1 i))) (+ (* -1/2 (/ (pow n 2) (pow i 2))) (/ n i))))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (/ (+ (* 100 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))) (+ (* 100 (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2))) (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (+ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 3)) (* 1/2 (pow n 4))))) (pow i 2)) (+ (/ (* n (* (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) (+ (* -1/2 (pow n 5)) (+ (* 1/6 (pow n 6)) (* 1/3 (pow n 4)))))) (pow i 3)) (/ (* (pow n 3) (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))) i)))) i)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* (pow i 2) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* (pow i 2) (+ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* (pow i 2) (+ (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))) (+ (/ n (pow i 2)) (/ (* n (- 1/2 (* 1/2 (/ 1 n)))) i))))))
#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) #s(hole binary64 (* 1/6 (* (pow i 2) n))))
#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) #s(hole binary64 (* (pow i 2) (+ (* 1/6 n) (* 1/2 (/ n i))))))
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#s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) #s(hole binary64 (* 1/6 (pow i 2))))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* 1/3 (/ (pow i 2) n))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* i (* n (- (* -1/2 i) 1/2)))) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))) n)))
#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (* -1/2 (/ i n))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (/ (+ (* -1/2 i) (* n (+ 1 (* 1/2 i)))) n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ -1/2 n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 n) 1/2) n)))
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) #s(hole binary64 (* 1/3 (/ (pow i 2) n))))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* i (* n (- (* -1/2 i) 1/2)))) n)))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))) n)))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) #s(hole binary64 (* 1/3 (/ (pow i 2) (pow n 2)))))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* i (* n (- (* -1/2 i) 1/2)))) (pow n 2))))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (- (* -1/2 i) 1/2)) (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))) (pow n 2))))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) #s(hole binary64 (* 1/3 (/ (pow i 2) (pow n 2)))))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* i (* n (- (* -1/2 i) 1/2)))) (pow n 2))))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) #s(hole binary64 (/ (+ (* 1/3 (pow i 2)) (* n (+ (* i (* n (+ 1/2 (* 1/6 i)))) (* i (- (* -1/2 i) 1/2))))) (pow n 2))))
#s(approx (* n n) #s(hole binary64 (pow n 2)))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n)) #s(hole binary64 (/ (* i (- (* -1/2 i) 1/2)) n)))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n)) #s(hole binary64 (/ (+ (* i (* n (+ 1/2 (* 1/6 i)))) (* i (- (* -1/2 i) 1/2))) n)))
#s(approx (/ (* (- (* -1/2 i) 1/2) i) n) #s(hole binary64 (/ (* i (- (* -1/2 i) 1/2)) n)))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))) (* 100 (/ (+ (log i) (* -1 (log n))) i))))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))) (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2))))))))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (* 100 (* n (+ (log i) (* -1 (log n)))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (* n (+ (* 100 (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))) (* 100 (+ (log i) (* -1 (log n))))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (* n (+ (* 100 (+ (log i) (* -1 (log n)))) (* n (+ (* 100 (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))))) (* 100 (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (* n (+ (* 100 (+ (log i) (* -1 (log n)))) (* n (+ (* 100 (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)))))))) (* 100 (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2)))))))))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i))))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 2))) (+ (* 1/24 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 1/3 (/ 1 (pow i 3))) (+ (* 1/2 (/ 1 (pow i 2))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i))))))) (/ (log i) i)))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i)))))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (* -1 (log n)))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (/ 1 i)))))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (+ (* n (- (+ (* -1 (/ (log n) i)) (+ (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)) (/ (log i) i))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))))
#s(approx (+ (/ i n) 1) #s(hole binary64 (/ (+ i n) n)))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (* 100 (/ (- (exp i) 1) i))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (* -1/2 (/ (pow i 2) n))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 n)))))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) #s(hole binary64 (+ 1 (* i (+ 1/2 (* 1/6 i))))))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) #s(hole binary64 (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) #s(hole binary64 (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) #s(hole binary64 (* i (+ 1/2 (* 1/6 i)))))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) #s(hole binary64 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) #s(hole binary64 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n)) #s(hole binary64 (* i (+ 1/2 (* 1/6 i)))))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n)) #s(hole binary64 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (* 100 (- (exp i) 1))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (exp i)))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) #s(hole binary64 (* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) #s(hole binary64 (* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)))))))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) #s(hole binary64 (+ 1 (+ (* -1 (/ (+ (* -1 (* i (- (* -1/2 i) 1/2))) (* -1/3 (/ (pow i 2) n))) n)) (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (* i (- (* -1/2 i) 1/2))) (* -1/3 (/ (pow i 2) n))) n)) (* i (+ 1/2 (* 1/6 i))))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ (/ i n) 1) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) i)
#s(literal 100 binary64)
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 i))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (pow.f64 i #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)))
(/.f64 (neg.f64 i) (neg.f64 n))
(/.f64 i n)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))
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#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (+.f64 #s(literal 100 binary64) (*.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (+.f64 #s(literal 100 binary64) (*.f64 i (fma.f64 #s(literal 100 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (*.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal -3 binary64))))) (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 1 binary64))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -2 binary64)) (*.f64 i (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (*.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal -3 binary64)))))))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -2 binary64)) (*.f64 i (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (*.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal -3 binary64)))))))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n))))))
#s(approx (* (log (+ 1 (/ i n))) n) i)
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 i (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (*.f64 i (fma.f64 #s(literal -1/4 binary64) (/.f64 i (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) n))))))
#s(approx (log (+ 1 (/ i n))) (/.f64 i n))
#s(approx (log (+ 1 (/ i n))) (*.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 i (*.f64 n n)) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (log (+ 1 (/ i n))) (*.f64 i (fma.f64 i (fma.f64 #s(literal 1/3 binary64) (/.f64 i (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal -2 binary64)))) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (log (+ 1 (/ i n))) (*.f64 i (fma.f64 i (fma.f64 i (fma.f64 #s(literal -1/4 binary64) (/.f64 i (pow.f64 n #s(literal 4 binary64))) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -3 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal -2 binary64)))) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (/ i n) (/.f64 i n))
#s(approx i i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 i n) (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 #s(literal 100 binary64) n (*.f64 i (fma.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 i n) (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (*.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal -3 binary64))))) (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (fma.f64 (*.f64 i n) (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+.f64 n (*.f64 i (fma.f64 i (fma.f64 (*.f64 i n) (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (*.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal -3 binary64))))) (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) n)
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (+.f64 n (*.f64 i (fma.f64 (*.f64 i n) (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) n)
#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (+.f64 n (*.f64 #s(literal 1/2 binary64) (*.f64 i n))))
#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (+.f64 n (*.f64 i (fma.f64 (*.f64 #s(literal 1/6 binary64) i) n (*.f64 #s(literal 1/2 binary64) n)))))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) #s(literal 1 binary64))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))
#s(approx (+ (* 1/6 i) 1/2) #s(literal 1/2 binary64))
#s(approx (+ (* 1/6 i) 1/2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 #s(literal 100 binary64) n))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 i n) (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (fma.f64 #s(literal 100 binary64) n (*.f64 i (fma.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 i n) (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (*.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal -3 binary64))))) (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) n)
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (+.f64 n (*.f64 i (fma.f64 (*.f64 i n) (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (+.f64 n (*.f64 i (fma.f64 i (fma.f64 (*.f64 i n) (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (*.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal -3 binary64))))) (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(literal 1 binary64))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) n)
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) (+.f64 n (*.f64 i (fma.f64 (*.f64 i n) (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) #s(literal 1 binary64))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n)))))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n))))
#s(approx (/ (* i i) (* n n)) (*.f64 (/.f64 i n) (/.f64 i n)))
#s(approx (* i i) (*.f64 i i))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n)) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n)) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n))))
#s(approx (/ (* (- (* -1/2 i) 1/2) i) n) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))
#s(approx (/ (* (- (* -1/2 i) 1/2) i) n) (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 i n)) (/.f64 #s(literal 1/2 binary64) n))))
#s(approx (* (- (* -1/2 i) 1/2) i) (*.f64 #s(literal -1/2 binary64) i))
#s(approx (* (- (* -1/2 i) 1/2) i) (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))
#s(approx (- (* -1/2 i) 1/2) #s(literal -1/2 binary64))
#s(approx (- (* -1/2 i) 1/2) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))
#s(approx (* -1/2 i) (*.f64 #s(literal -1/2 binary64) i))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (*.f64 #s(literal 100 binary64) n))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 i n) (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (fma.f64 #s(literal 100 binary64) n (*.f64 i (fma.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 i n) (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (*.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal -3 binary64))))) (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))))))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) (*.f64 #s(literal 100 binary64) i))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) (*.f64 i (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) (*.f64 i (+.f64 #s(literal 100 binary64) (*.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) (*.f64 i (+.f64 #s(literal 100 binary64) (*.f64 i (fma.f64 #s(literal 100 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (*.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal -3 binary64))))) (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))))))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) i)
#s(approx (- (pow (+ (/ i n) 1) n) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))))
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#s(approx (- (pow (+ (/ i n) 1) n) 1) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -2 binary64)) (*.f64 i (-.f64 (+.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 11/24 binary64) (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/4 binary64) n) (*.f64 #s(literal -1/4 binary64) (pow.f64 n #s(literal -3 binary64)))))))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n))))))
#s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64))
#s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) i))
#s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))))))
#s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n)))))))
#s(approx (+ (/ i n) 1) #s(literal 1 binary64))
#s(approx (+ (/ i n) 1) (+.f64 #s(literal 1 binary64) (/.f64 i n)))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (-.f64 (+.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) i)) #s(literal 1 binary64)) i))
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#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (/.f64 (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) i)) #s(literal 1 binary64)))
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#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) (/.f64 (*.f64 n n) i)))
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#s(approx (log (+ 1 (/ i n))) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))
#s(approx (log (+ 1 (/ i n))) (fma.f64 #s(literal -1 binary64) (log.f64 n) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (/.f64 n i))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (neg.f64 (log.f64 n)) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 n n) (*.f64 i i)) (/.f64 n i)))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (neg.f64 (log.f64 n)) (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 i)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 n n) (*.f64 i i)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 n i) #s(literal 3 binary64)) (/.f64 n i))))))
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#s(approx (+ (/ i n) 1) (/.f64 i n))
#s(approx (+ (/ i n) 1) (*.f64 i (+.f64 (pow.f64 i #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))))
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#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) i))) i))) i)))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (*.f64 (neg.f64 (*.f64 n n)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i)) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (fma.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) i)) i))) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)))))) i)) i) (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i))) i)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i)) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (neg.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) i)) i)))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)))))) i) (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))))) i))) i))) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) (/.f64 (*.f64 n n) i)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 n n) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 n #s(literal 3 binary64)) i))) i) (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 n #s(literal 4 binary64)) i))) i) (neg.f64 (*.f64 n n))) i) (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 n i))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) n (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 n n) i))) i))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 n (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n n) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 n #s(literal 3 binary64)) i))) i))) i))))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (*.f64 n (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) i)) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 n) (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 n (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)))))) i)) i) (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i))) i)))
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#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i)))
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#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) n) (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (*.f64 n (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) i))) i))) i)))
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i))) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (*.f64 n (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) i)) i))) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 n) (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (/.f64 (*.f64 (*.f64 n (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)))))) i)) i) (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i))) i)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 (neg.f64 i) (-.f64 (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 i #s(literal -1 binary64)))))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) (*.f64 (*.f64 i i) (+.f64 (neg.f64 (/.f64 (*.f64 n (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) i)) (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))))))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) (*.f64 (*.f64 i i) (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 n i) (*.f64 n (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) i)) (*.f64 n (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n))))))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (*.f64 (*.f64 i i) (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) i) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) n))))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (*.f64 (*.f64 i i) (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (pow.f64 i #s(literal -1 binary64))) i) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) n))))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (*.f64 (*.f64 i i) (-.f64 (+.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) i) (/.f64 #s(literal 1/3 binary64) (*.f64 n n)))) (/.f64 #s(literal 1/2 binary64) n))))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n)) (*.f64 (*.f64 i i) (-.f64 (+.f64 #s(literal 1/6 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) i))) (/.f64 #s(literal 1/2 binary64) n))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i)))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i))) i)))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) n) (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (*.f64 n (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) i))) i))) i)))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) n) (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) n) (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)))))) i))) i) (*.f64 (*.f64 #s(literal 100 binary64) (pow.f64 n #s(literal 3 binary64))) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i))) i)))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) (*.f64 #s(literal 100 binary64) (+.f64 (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) i))) i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) (*.f64 n n)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)))))) i) (*.f64 (*.f64 #s(literal 100 binary64) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))))) i))) i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) (-.f64 (+.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) (-.f64 (+.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (neg.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) i)) i)))) #s(literal 1 binary64)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) (-.f64 (+.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)))))) i) (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))))) i))) i))) #s(literal 1 binary64)))
#s(approx (pow (+ (/ i n) 1) n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))
#s(approx (pow (+ (/ i n) 1) n) (+.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i)))
#s(approx (pow (+ (/ i n) 1) n) (+.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (neg.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) i)) i)))))
#s(approx (pow (+ (/ i n) 1) n) (+.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)))))) i) (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))))) i))) i))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i)))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64)))))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (fma.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 i i))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64)))))))))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i)))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (*.f64 n (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64)))))))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (*.f64 n (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (fma.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 i i))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64)))))))))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (log.f64 i) i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))) (pow.f64 i #s(literal -2 binary64)))) (/.f64 (log.f64 i) i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (fma.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 i i))))))) (/.f64 (log.f64 i) (*.f64 i i))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64)))) (pow.f64 i #s(literal -2 binary64)))) (/.f64 (log.f64 i) i)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (pow.f64 i #s(literal -1 binary64)))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) (/.f64 (log.f64 i) i)) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) (pow.f64 i #s(literal -1 binary64))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (fma.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 i i)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i)))))) (/.f64 (log.f64 i) i)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 i #s(literal -1 binary64))))))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (/.f64 n i))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 n (*.f64 i i)) (pow.f64 i #s(literal -1 binary64)))))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 n (fma.f64 #s(literal 1/3 binary64) (/.f64 n (pow.f64 i #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 i #s(literal -1 binary64)))))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (/.f64 n i)))
#s(approx (log (+ 1 (/ i n))) (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 n (*.f64 i i)) (pow.f64 i #s(literal -1 binary64))))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 n (fma.f64 #s(literal 1/3 binary64) (/.f64 n (pow.f64 i #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 i #s(literal -1 binary64))))))
#s(approx n n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (fma.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 i i))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64)))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (log.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))) (pow.f64 i #s(literal -2 binary64)))) (/.f64 (log.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (fma.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 i i))))))) (/.f64 (log.f64 i) (*.f64 i i))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64)))) (pow.f64 i #s(literal -2 binary64)))) (/.f64 (log.f64 i) i)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) n))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 n (fma.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))))) n))
#s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i)))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64)))))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (fma.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 i i))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64)))))))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/.f64 (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (log.f64 i) i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))) (pow.f64 i #s(literal -2 binary64)))) (/.f64 (log.f64 i) i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (fma.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 i i))))))) (/.f64 (log.f64 i) (*.f64 i i))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64)))) (pow.f64 i #s(literal -2 binary64)))) (/.f64 (log.f64 i) i)))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (/.f64 (fma.f64 #s(literal -1/2 binary64) i (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))) n))
#s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n))
#s(approx (- 1/2 (/ 1/2 n)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n))
#s(approx (/ 1/2 n) (/.f64 #s(literal 1/2 binary64) n))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) n)))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) n))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 n (fma.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))))) n))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i i)) (*.f64 n n)))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) (*.f64 n n)))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 n (fma.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))))) (*.f64 n n)))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i i)) (*.f64 n n)))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) (*.f64 n n)))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 n (*.f64 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))))) (*.f64 n n)))
#s(approx (* n n) (*.f64 n n))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n)) (/.f64 (*.f64 i (fma.f64 n (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) n))
#s(approx (/ (* (- (* -1/2 i) 1/2) i) n) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i)))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64)))))))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (fma.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 i i))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64)))))))))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (pow.f64 i #s(literal -1 binary64))) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) (*.f64 n (fma.f64 #s(literal 100 binary64) (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) (/.f64 (log.f64 i) i)) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (pow.f64 i #s(literal -1 binary64)))))))))
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#s(approx (- (pow (+ (/ i n) 1) n) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (pow.f64 i #s(literal -1 binary64)))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) (/.f64 (log.f64 i) i)) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) (pow.f64 i #s(literal -1 binary64))))))))
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#s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))))
#s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (pow.f64 i #s(literal -1 binary64))))))))
#s(approx (pow (+ (/ i n) 1) n) (+.f64 #s(literal 1 binary64) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) (/.f64 (log.f64 i) i)) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) (pow.f64 i #s(literal -1 binary64)))))))))
#s(approx (+ (/ i n) 1) (/.f64 (+.f64 i n) n))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)))
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#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (expm1.f64 i) i)))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))))) (*.f64 i (pow.f64 n #s(literal 3 binary64)))) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (expm1.f64 i) i))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (/.f64 (expm1.f64 i) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (*.f64 n n))))) (pow.f64 i #s(literal -1 binary64))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (-.f64 (+.f64 (/.f64 (exp.f64 i) i) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64))))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (*.f64 n n))))) (pow.f64 i #s(literal -1 binary64)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (-.f64 (exp.f64 i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (exp.f64 i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 n n)))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (exp.f64 i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (+.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 n n))))) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (+.f64 i (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n))))
#s(approx (* (log (+ 1 (/ i n))) n) (+.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))) (*.f64 n n)))))
#s(approx (* (log (+ 1 (/ i n))) n) (+.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))) (*.f64 n n))))))
#s(approx (log (+ 1 (/ i n))) (/.f64 (+.f64 i (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n))) n))
#s(approx (log (+ 1 (/ i n))) (/.f64 (+.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))) (*.f64 n n)))) n))
#s(approx (log (+ 1 (/ i n))) (/.f64 (+.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))) (*.f64 n n))))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (expm1.f64 i) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))))) (*.f64 i (pow.f64 n #s(literal 3 binary64)))) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (expm1.f64 i) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (/.f64 (expm1.f64 i) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (*.f64 n n))))) (pow.f64 i #s(literal -1 binary64)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (-.f64 (+.f64 (/.f64 (exp.f64 i) i) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64))))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (*.f64 n n))))) (pow.f64 i #s(literal -1 binary64))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 n (+.f64 #s(literal 1 binary64) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 n (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 i n) (/.f64 i n)) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (expm1.f64 i) i))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))))) (*.f64 i (pow.f64 n #s(literal 3 binary64)))) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (expm1.f64 i) i)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/.f64 (*.f64 n (expm1.f64 i)) i))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (/.f64 (expm1.f64 i) i))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (*.f64 n n))))) (pow.f64 i #s(literal -1 binary64)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (-.f64 (+.f64 (/.f64 (exp.f64 i) i) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64))))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (*.f64 n n))))) (pow.f64 i #s(literal -1 binary64))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i))))
#s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64))
#s(approx (- 1/2 (/ 1/2 n)) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i))))))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) (*.f64 n (+.f64 #s(literal 1 binary64) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n)))))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) (*.f64 n (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 i n) (/.f64 i n)) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n))))))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (+.f64 #s(literal 1 binary64) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n))))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 i n) (/.f64 i n)) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n)))))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i))))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n)))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 i n) (/.f64 i n)) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n))))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n)) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i))))
#s(approx (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n)) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n)))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (expm1.f64 i) i))))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))))) (*.f64 i (pow.f64 n #s(literal 3 binary64)))) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (expm1.f64 i) i)))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) (*.f64 #s(literal 100 binary64) (expm1.f64 i)))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (expm1.f64 i))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (+.f64 (expm1.f64 i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 n n))))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (fma.f64 #s(literal 100 binary64) (expm1.f64 i) (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 n n)))))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) (expm1.f64 i))
#s(approx (- (pow (+ (/ i n) 1) n) 1) (-.f64 (-.f64 (exp.f64 i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) (-.f64 (+.f64 (exp.f64 i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 n n)))) #s(literal 1 binary64)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) (-.f64 (+.f64 (exp.f64 i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (+.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 n n))))) #s(literal 1 binary64)))
#s(approx (pow (+ (/ i n) 1) n) (exp.f64 i))
#s(approx (pow (+ (/ i n) 1) n) (-.f64 (exp.f64 i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n))))
#s(approx (pow (+ (/ i n) 1) n) (+.f64 (exp.f64 i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 n n)))))
#s(approx (pow (+ (/ i n) 1) n) (+.f64 (exp.f64 i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (+.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 n n))))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n)))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n)))) n)))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n)))) n))) n)))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n)) (*.f64 #s(literal 50 binary64) (*.f64 i (exp.f64 i)))) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n)) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i)) n) (*.f64 #s(literal 50 binary64) (*.f64 i (exp.f64 i)))) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (*.f64 i (exp.f64 i)))) n) (/.f64 (expm1.f64 i) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i)) n) (*.f64 #s(literal 1/2 binary64) (*.f64 i (exp.f64 i)))) n) (/.f64 (expm1.f64 i) i)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) n) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i))) n))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) n) (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))))) n) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i))) n))) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (+.f64 i (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (*.f64 i i))) n))))
#s(approx (* (log (+ 1 (/ i n))) n) (+.f64 i (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) n) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 i i))) n))))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) i (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i i) n))) n)))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 i (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 i i) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) n))) n))) n)))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 i (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) n))) n) (*.f64 #s(literal -1/2 binary64) (*.f64 i i))) n))) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n)))) n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n)))) n))) n)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (exp.f64 i) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n))) n) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n))) n) (*.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)))) n) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (neg.f64 n) (-.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64))) #s(literal 1 binary64))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (neg.f64 n) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n) (-.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (neg.f64 n) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) n) (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) n) (-.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n)))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n)))) n)))))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n)))) n))) n)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (neg.f64 n) (fma.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (neg.f64 n) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) i) (exp.f64 i) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n))) n) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (neg.f64 n) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n))) n) (*.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)))) n) (neg.f64 (/.f64 (expm1.f64 i) i)))))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) (*.f64 (neg.f64 n) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n))))))
#s(approx (* (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) n) (*.f64 (neg.f64 n) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) n) (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) n)))))
#s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 i) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 i i) n))) n) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i))))))
#s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 i) (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 i i) n))) n) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n)))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n)))) n)))))
#s(approx (/ (* 100 (- (pow (+ (/ i n) 1) n) 1)) (/ i n)) (*.f64 (neg.f64 n) (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -50 binary64) i) (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n)))) n))) n)))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) n) (*.f64 (*.f64 #s(literal 50 binary64) (*.f64 i i)) (exp.f64 i))) n) (*.f64 #s(literal 100 binary64) (expm1.f64 i))))
#s(approx (* 100 (- (pow (+ (/ i n) 1) n) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) n) (*.f64 (*.f64 #s(literal 100 binary64) (exp.f64 i)) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))))) n) (*.f64 (*.f64 #s(literal 50 binary64) (*.f64 i i)) (exp.f64 i))) n) (*.f64 #s(literal 100 binary64) (expm1.f64 i))))
#s(approx (- (pow (+ (/ i n) 1) n) 1) (-.f64 (+.f64 (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) n) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i))) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ (/ i n) 1) n) 1) (-.f64 (+.f64 (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) n) (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))))) n) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i))) n))) #s(literal 1 binary64)))
#s(approx (pow (+ (/ i n) 1) n) (+.f64 (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) n) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i))) n))))
#s(approx (pow (+ (/ i n) 1) n) (+.f64 (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) n) (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))))) n) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 i i)) (exp.f64 i))) n))))

eval91.0ms (1%)

Memory
-7.6MiB live, 140.1MiB allocated; 40ms collecting garbage
Compiler

Compiled 33 662 to 3 083 computations (90.8% saved)

prune46.0ms (0.5%)

Memory
0.6MiB live, 100.1MiB allocated; 9ms collecting garbage
Pruning

38 alts after pruning (35 fresh and 3 done)

PrunedKeptTotal
New57320593
Fresh61521
Picked415
Done022
Total58338621
Accuracy
100.0%
Counts
621 → 38
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.2%
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64))) (/.f64 i n))
18.7%
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 i n))
61.0%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (/.f64 i n))
14.8%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ (/ i n) 1) n) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))) (/.f64 i n))
41.5%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ (/ i n) 1) n) 1) i)) (/.f64 i n))
76.2%
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
27.7%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
76.2%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
73.6%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
14.8%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) i)) n)
50.1%
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n)))))) n)
14.8%
(*.f64 #s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)) n)
56.3%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) n #s(literal 0 binary64)))))) (/.f64 i n)))
64.2%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (/.f64 i n)))
42.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
27.7%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
76.2%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
73.6%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
45.6%
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64))) n))
51.3%
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
14.8%
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) n))
2.8%
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n))
44.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
47.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
54.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
69.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
13.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
37.5%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
54.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
49.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 i n) (/.f64 i n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) (fma.f64 (*.f64 (/.f64 i n) (/.f64 i n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 (/.f64 i n) (/.f64 i n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64))) n))))
49.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 1 binary64))) n))))
8.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
40.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 #s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) (*.f64 n n))) #s(literal 1 binary64)) n))))
5.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i i)) (*.f64 n n))) n))))
14.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) i)))) n))))
15.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n))))
15.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n))))))
46.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Compiler

Compiled 2 905 to 1 813 computations (37.6% saved)

series42.0ms (0.4%)

Memory
26.0MiB live, 72.3MiB allocated; 2ms collecting garbage
Counts
43 → 466
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i)
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n)
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
(fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))
#s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))
(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n)
(fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i))
(fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64))
(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)
(-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) i)
#s(literal -1/2 binary64)
(*.f64 (*.f64 i i) #s(literal 1/3 binary64))
(*.f64 i i)
#s(literal 1/3 binary64)
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i))
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
(+.f64 #s(literal 1 binary64) (/.f64 i n))
Outputs
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) #s(hole binary64 (* 100 n)))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) #s(hole binary64 100))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) #s(hole binary64 (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) #s(hole binary64 (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) #s(hole binary64 (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* 100 i)))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 i))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* -1/2 (/ i n))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* 1/3 (/ i (pow n 2))) (* 1/2 (/ 1 n))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* i (+ 1 (* i (- (* i (+ (* -1/4 (/ i (pow n 3))) (* 1/3 (/ 1 (pow n 2))))) (* 1/2 (/ 1 n))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ i n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* -1/2 (/ i (pow n 2))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* 1/3 (/ i (pow n 3))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* i (+ (* i (- (* i (+ (* -1/4 (/ i (pow n 4))) (* 1/3 (/ 1 (pow n 3))))) (* 1/2 (/ 1 (pow n 2))))) (/ 1 n)))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx i #s(hole binary64 i))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 n))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 1))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n)))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 1))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* i (+ 1 (* i (- (+ 1/2 (* i (- (+ 1/6 (+ (* 1/3 (/ 1 (pow n 2))) (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 1/2 (/ 1 n))))) (* 1/2 (/ 1 n))))))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 i))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 n))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
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#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* i (+ 1 (* 1/2 i)))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (+ (* -1/2 (/ (pow i 2) n)) (* i (+ 1 (* 1/2 i))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) #s(hole binary64 (* (pow n 2) (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) #s(hole binary64 (* (pow n 2) (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) #s(hole binary64 (* (pow n 2) (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) #s(hole binary64 (* 100 (/ (- (exp i) 1) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (exp i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
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#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) #s(hole binary64 (* (pow n 2) (+ 1 (+ (* -1 (/ (+ (* -1 (* i (- (* -1/2 i) 1/2))) (* -1/3 (/ (pow i 2) n))) n)) (* i (+ 1/2 (* 1/6 i))))))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) #s(hole binary64 (* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
i
@-inf
((* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n 100 (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) 1/2 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (+ (* (+ (* 1/6 i) 1/2) i) 1) (+ (* 1/6 i) 1/2) 1/6 (* (- (* -1/2 i) 1/2) i) (- (* -1/2 i) 1/2) (* -1/2 i) -1/2 (* (* i i) 1/3) (* i i) 1/3 (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)))
5.0ms
i
@inf
((* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n 100 (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) 1/2 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (+ (* (+ (* 1/6 i) 1/2) i) 1) (+ (* 1/6 i) 1/2) 1/6 (* (- (* -1/2 i) 1/2) i) (- (* -1/2 i) 1/2) (* -1/2 i) -1/2 (* (* i i) 1/3) (* i i) 1/3 (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)))
5.0ms
n
@0
((* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n 100 (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) 1/2 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (+ (* (+ (* 1/6 i) 1/2) i) 1) (+ (* 1/6 i) 1/2) 1/6 (* (- (* -1/2 i) 1/2) i) (- (* -1/2 i) 1/2) (* -1/2 i) -1/2 (* (* i i) 1/3) (* i i) 1/3 (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)))
4.0ms
n
@-inf
((* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n 100 (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) 1/2 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (+ (* (+ (* 1/6 i) 1/2) i) 1) (+ (* 1/6 i) 1/2) 1/6 (* (- (* -1/2 i) 1/2) i) (- (* -1/2 i) 1/2) (* -1/2 i) -1/2 (* (* i i) 1/3) (* i i) 1/3 (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)))
4.0ms
i
@0
((* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n 100 (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+ (* (- 1/2 (/ 1/2 n)) i) 1) (- 1/2 (/ 1/2 n)) 1/2 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (+ (* (+ (* 1/6 i) 1/2) i) 1) (+ (* 1/6 i) 1/2) 1/6 (* (- (* -1/2 i) 1/2) i) (- (* -1/2 i) 1/2) (* -1/2 i) -1/2 (* (* i i) 1/3) (* i i) 1/3 (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) (/ (- (pow (+ 1 (/ i n)) n) 1) i) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)))

rewrite234.0ms (2.4%)

Memory
20.2MiB live, 241.8MiB allocated; 26ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0161624609
0166922606
0812021525
Stop Event
iter limit
node limit
iter limit
Counts
509 → 553
Calls
Call 1
Inputs
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i)
(*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
#s(literal 100 binary64)
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n)
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64)))
(fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))
#s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
#s(literal 1 binary64)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n)))
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(/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n)
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(fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
(*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)
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#s(literal -1/2 binary64)
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#s(approx (/ i n) #s(hole binary64 (/ i n)))
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#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))))
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#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (* 100 (- (exp i) 1))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (* -1/2 (/ (pow i 2) n))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (+ 1 (+ (* -1/2 (/ i n)) (* 1/2 i)))))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 1/2))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (* i (+ 1 (* 1/2 i)))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) #s(hole binary64 (+ (* -1/2 (/ (pow i 2) n)) (* i (+ 1 (* 1/2 i))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (* n (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) #s(hole binary64 (* (pow n 2) (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) #s(hole binary64 (* (pow n 2) (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) #s(hole binary64 (* (pow n 2) (+ 1 (+ (* 1/3 (/ (pow i 2) (pow n 2))) (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) #s(hole binary64 (* n (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) #s(hole binary64 (* n (+ 1 (+ (* i (+ 1/2 (* 1/6 i))) (/ (* i (- (* -1/2 i) 1/2)) n))))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) #s(hole binary64 (* 100 (/ (- (exp i) 1) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) #s(hole binary64 (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (/ (- (exp i) 1) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (exp i)))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n)))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))
#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1/3 (/ (pow i 3) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow i 4) n)) (* 1/3 (pow i 3))) n)) (* 1/2 (pow i 2))) n)))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) n)) (* 1/2 (* i (exp i)))) n)) (/ (exp i) i)) (/ 1 i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (- (exp i) 1) i)) (* 1/2 (/ (* i (exp i)) n)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1/2 (* i (exp i))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) n)) (* -1/2 (* i (exp i)))) n)) (* -1 (/ (- (exp i) 1) i)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (- (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n))) 1)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (* i (- (* -1/6 i) 1/2)) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)) (* i (- (* -1/6 i) 1/2))) 1)))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) #s(hole binary64 (* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (+ (* 1/3 (/ (pow i 2) n)) (* i (- (* -1/2 i) 1/2))) n)))))))
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#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) #s(hole binary64 (* -1 (* n (+ (* -1 (+ 1 (* i (+ 1/2 (* 1/6 i))))) (* -1 (/ (* i (- (* -1/2 i) 1/2)) n)))))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n))) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i))) n)) (* 50 (* i (exp i)))) n)) (* 100 (/ (- (exp i) 1) i)))))
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#s(approx (pow (+ 1 (/ i n)) n) #s(hole binary64 (+ (exp i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3))))) n)) (* 1/2 (* (pow i 2) (exp i)))) n)))))
Outputs
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i
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(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i))
(/.f64 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 i))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
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(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)))
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(+.f64 (cosh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (sinh.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 i n) (/.f64 i n))) (-.f64 #s(literal 1 binary64) (/.f64 i n)))
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#s(approx (log (+ 1 (/ i n))) (*.f64 i (fma.f64 #s(literal -1/2 binary64) (/.f64 i (*.f64 n n)) (pow.f64 n #s(literal -1 binary64)))))
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#s(approx (/ i n) (/.f64 i n))
#s(approx i i)
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) i)
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#s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i))
#s(approx (+ (* 1/6 i) 1/2) (*.f64 i (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64))))))
#s(approx (* (- (* -1/2 i) 1/2) i) (*.f64 #s(literal -1/2 binary64) (*.f64 i i)))
#s(approx (* (- (* -1/2 i) 1/2) i) (neg.f64 (*.f64 (*.f64 i i) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64)))))))
#s(approx (- (* -1/2 i) 1/2) (*.f64 #s(literal -1/2 binary64) i))
#s(approx (- (* -1/2 i) 1/2) (neg.f64 (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -1 binary64)))))))
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#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) i))) i))) i)))
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#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (*.f64 #s(literal 100 binary64) (+.f64 (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) i))) i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))))))
#s(approx (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)))))) i) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))))) i))) i) (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) i))) i))) #s(literal 1 binary64)))
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#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) (/.f64 (*.f64 n n) i)))
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#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))
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#s(approx (log (+ 1 (/ i n))) (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) n (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 n n) i))) i))))
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i))) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))))) i)) i))) i)))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)))))) i)) i) (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i))) i)))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))) (neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))))) i))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64))))))) i))) i) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))))) i)) i))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))))) (/.f64 (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64))))))) i)) i) (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i))) i)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i)) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) i))) i))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)))))) i) (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))))) i))) i))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (*.f64 i i) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))) (/.f64 n i))) i) (*.f64 n (-.f64 (-.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (*.f64 (*.f64 i i) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) n)) i) (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal -1 binary64)))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (*.f64 (*.f64 i i) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 n i) (*.f64 #s(literal -1/2 binary64) n))) i) (-.f64 (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) (*.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal -1 binary64)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 i i) (+.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) n))) i) (*.f64 n (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 i i) (+.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 n n) i) (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) n)))) i) (*.f64 n (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 (*.f64 i i) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) n)) i) (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 (*.f64 i i) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 n i) (*.f64 #s(literal -1/2 binary64) n))) i) (-.f64 (*.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i)))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) (neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) i))) i)))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))) (neg.f64 (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))))) i))) i))) i)))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64))))))) i))) i) (*.f64 #s(literal 100 binary64) (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))))) i))) i)))
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#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)))
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (pow.f64 i #s(literal -1 binary64)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) (/.f64 (log.f64 i) i)) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) (pow.f64 i #s(literal -1 binary64))))))))
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#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (/.f64 n i))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 n (*.f64 i i)) (pow.f64 i #s(literal -1 binary64)))))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 n (fma.f64 #s(literal 1/3 binary64) (/.f64 n (pow.f64 i #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 i #s(literal -1 binary64)))))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (/.f64 n i)))
#s(approx (log (+ 1 (/ i n))) (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 n (*.f64 i i)) (pow.f64 i #s(literal -1 binary64))))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 n (fma.f64 #s(literal 1/3 binary64) (/.f64 n (pow.f64 i #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 i #s(literal -1 binary64))))))
#s(approx n n)
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i)))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64)))))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (fma.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 i i))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64)))))))))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/.f64 (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (log.f64 i) i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))) (pow.f64 i #s(literal -2 binary64)))) (/.f64 (log.f64 i) i)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (fma.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 i i))))))) (/.f64 (log.f64 i) (*.f64 i i))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64)))) (pow.f64 i #s(literal -2 binary64)))) (/.f64 (log.f64 i) i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (log.f64 i) i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))) (pow.f64 i #s(literal -2 binary64)))) (/.f64 (log.f64 i) i)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (fma.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 i i))))))) (/.f64 (log.f64 i) (*.f64 i i))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64)))) (pow.f64 i #s(literal -2 binary64)))) (/.f64 (log.f64 i) i)))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (/.f64 (fma.f64 #s(literal -1/2 binary64) i (*.f64 n (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) i)))) n))
#s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n))
#s(approx (- 1/2 (/ 1/2 n)) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (fma.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 i i))))))) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64)))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (log.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))) (pow.f64 i #s(literal -2 binary64)))) (/.f64 (log.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (fma.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 i i))))))) (/.f64 (log.f64 i) (*.f64 i i))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64)))) (pow.f64 i #s(literal -2 binary64)))) (/.f64 (log.f64 i) i)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (pow.f64 i #s(literal -1 binary64)))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (fma.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (-.f64 (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) (/.f64 (log.f64 i) i)) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) (pow.f64 i #s(literal -1 binary64))))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (fma.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 i i)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i)))))) (/.f64 (log.f64 i) i)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 i #s(literal -1 binary64))))))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n)))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) i))))) n))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) n)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) n))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 n (fma.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))))) n))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (*.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) n)))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) n))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 n (fma.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))))) n))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i)))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 n (fma.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))))))
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#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/.f64 (*.f64 n (expm1.f64 i)) i))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (/.f64 (expm1.f64 i) i)))
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#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) i)))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) (*.f64 #s(literal 1/2 binary64) i))))
#s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64))
#s(approx (- 1/2 (/ 1/2 n)) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (expm1.f64 i) i))))))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 n (expm1.f64 i)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (/.f64 (expm1.f64 i) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (*.f64 n n))))) (pow.f64 i #s(literal -1 binary64)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (-.f64 (+.f64 (/.f64 (exp.f64 i) i) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64))))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (*.f64 n n))))) (pow.f64 i #s(literal -1 binary64))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (-.f64 (exp.f64 i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (exp.f64 i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 n n)))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (exp.f64 i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (+.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 n n))))) #s(literal 1 binary64)))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (*.f64 i (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) i))))
#s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i i) n) (*.f64 i (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) i)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 n (+.f64 #s(literal 1 binary64) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 n (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) (*.f64 n n)) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (*.f64 n (+.f64 #s(literal 1 binary64) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n)))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (*.f64 n (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) (*.f64 n n)) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n)))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) (*.f64 n n)) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n))))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 n (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i))))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (*.f64 n (+.f64 #s(literal 1 binary64) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n)))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i)))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (expm1.f64 i) i))))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))))) (*.f64 i (pow.f64 n #s(literal 3 binary64)))) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (expm1.f64 i) i)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (expm1.f64 i) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (fma.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))))) (*.f64 i (pow.f64 n #s(literal 3 binary64)))) (*.f64 #s(literal 100 binary64) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) (*.f64 n n)) (/.f64 (expm1.f64 i) i))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 i) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (/.f64 (expm1.f64 i) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (+.f64 (/.f64 (exp.f64 i) i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (*.f64 n n))))) (pow.f64 i #s(literal -1 binary64))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (-.f64 (+.f64 (/.f64 (exp.f64 i) i) (fma.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64))))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 i (*.f64 n n))))) (pow.f64 i #s(literal -1 binary64)))))
#s(approx (pow (+ 1 (/ i n)) n) (exp.f64 i))
#s(approx (pow (+ 1 (/ i n)) n) (-.f64 (exp.f64 i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n))))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (exp.f64 i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 n n)))))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (exp.f64 i) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (+.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 n n))))))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n)))) n))))))
#s(approx (* (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) n) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n)))) n))) n))))))
#s(approx (/ (* (- (exp (* (log (+ 1 (/ i n))) n)) 1) 100) i) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n)) (*.f64 #s(literal 50 binary64) (*.f64 i (exp.f64 i)))) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))))
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) n) (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)))) n))) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (+.f64 i (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (*.f64 i i))) n))))
#s(approx (* (log (+ 1 (/ i n))) n) (+.f64 i (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) n) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 i i))) n))))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) i (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i i) n))) n)))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 i (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 i i) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) n))) n))) n)))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 i (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) n))) n) (*.f64 #s(literal -1/2 binary64) (*.f64 i i))) n))) n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))))
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n))) n) (neg.f64 (/.f64 (expm1.f64 i) i))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n))) n) (*.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)))) n) (neg.f64 (/.f64 (expm1.f64 i) i))))))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i)) n) (*.f64 #s(literal 1/2 binary64) (*.f64 i (exp.f64 i)))) n) (/.f64 (expm1.f64 i) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n)))) n))) n))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n))) n) (neg.f64 (/.f64 (expm1.f64 i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n))) n) (*.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)))) n) (neg.f64 (/.f64 (expm1.f64 i) i))))))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)))) n))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) n) (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)))) n))) #s(literal 1 binary64)))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (neg.f64 (*.f64 n (-.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64))) #s(literal 1 binary64)))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (neg.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n) (-.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (neg.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) n) (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) n) (-.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/6 binary64) i) #s(literal 1/2 binary64))) #s(literal 1 binary64))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (neg.f64 (*.f64 n (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n)))))))
#s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (neg.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))) (neg.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (*.f64 i i) n) (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)))) n))))))
#s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) (*.f64 #s(literal -1/3 binary64) (/.f64 (*.f64 i i) n))) n) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))))
#s(approx (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) (neg.f64 (*.f64 n (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))) n)))))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n)))) n))))))
#s(approx (* (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) n) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n)))) n))) n))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n)) (*.f64 #s(literal 50 binary64) (*.f64 i (exp.f64 i)))) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) i)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i))) n) (*.f64 #s(literal 50 binary64) (*.f64 i (exp.f64 i)))) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (*.f64 i (exp.f64 i)))) n) (/.f64 (expm1.f64 i) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i)) n) (*.f64 #s(literal 1/2 binary64) (*.f64 i (exp.f64 i)))) n) (/.f64 (expm1.f64 i) i)))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)))) n))))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) n) (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)))) n))))

eval478.0ms (5%)

Memory
-45.4MiB live, 88.0MiB allocated; 766ms collecting garbage
Compiler

Compiled 31 321 to 2 834 computations (91% saved)

prune70.0ms (0.7%)

Memory
-31.3MiB live, 75.8MiB allocated; 15ms collecting garbage
Pruning

40 alts after pruning (36 fresh and 4 done)

PrunedKeptTotal
New55012562
Fresh62430
Picked415
Done033
Total56040600
Accuracy
100.0%
Counts
600 → 40
Alt Table
Click to see full alt table
StatusAccuracyProgram
34.2%
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64))) (/.f64 i n))
61.0%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (/.f64 i n))
14.8%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ (/ i n) 1) n) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))) (/.f64 i n))
41.5%
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ (/ i n) 1) n) 1) i)) (/.f64 i n))
27.7%
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #s(literal 100 binary64)) i) n)
73.5%
(*.f64 (/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) #s(literal 100 binary64)) i) n)
14.8%
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) #s(literal 100 binary64)) i) n)
46.3%
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) #s(literal 100 binary64)) i) n)
34.2%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
19.0%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n)
76.2%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
14.8%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) i)) n)
56.3%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) n #s(literal 0 binary64)))))) (/.f64 i n)))
64.2%
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (/.f64 i n)))
27.7%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
76.2%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
73.6%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
45.6%
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64))) n))
51.3%
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
14.8%
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)) n))
2.8%
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n))
47.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
54.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
69.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
13.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
41.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
48.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
49.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
8.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
54.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
49.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 i n) (/.f64 i n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) (fma.f64 (*.f64 (/.f64 i n) (/.f64 i n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 (/.f64 i n) (/.f64 i n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64))) n))))
49.8%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 1 binary64))) n))))
8.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
40.6%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 #s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) (*.f64 n n))) #s(literal 1 binary64)) n))))
5.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i i)) (*.f64 n n))) n))))
14.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) i)))) n))))
15.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n))))
51.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+.f64 n (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))))))
15.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n))))))
46.4%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Compiler

Compiled 4 328 to 1 502 computations (65.3% saved)

regimes81.0ms (0.8%)

Memory
7.0MiB live, 147.3MiB allocated; 24ms collecting garbage
Counts
71 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+.f64 n (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ (/ i n) 1) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) i)))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i i)) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 #s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) (*.f64 n n))) #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 1 binary64))) n))))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n)))))) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 (/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (/.f64 i n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)) n))
(*.f64 #s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)) n)
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) i)) n)
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ (/ i n) 1) n) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 i n) (/.f64 i n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) (fma.f64 (*.f64 (/.f64 i n) (/.f64 i n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 (/.f64 i n) (/.f64 i n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) i))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 2 binary64))) (+.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 (/.f64 (expm1.f64 (*.f64 (*.f64 (log1p.f64 (/.f64 i n)) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (exp.f64 (fma.f64 (log1p.f64 (/.f64 i n)) n #s(literal 0 binary64)))))) (/.f64 i n)))
Outputs
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

4 calls:

22.0ms
n
20.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
18.0ms
i
17.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
94.6%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
94.6%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
89.4%4i
95.4%6n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes35.0ms (0.4%)

Memory
16.2MiB live, 61.1MiB allocated; 7ms collecting garbage
Counts
67 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+.f64 n (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ (/ i n) 1) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) i)))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i i)) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 #s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) (*.f64 n n))) #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 1 binary64))) n))))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n)))))) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 (/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (/.f64 i n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)) n))
(*.f64 #s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)) n)
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) i)) n)
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 (/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) #s(literal 100 binary64)) i) n)
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ (/ i n) 1) n) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (/.f64 i n) (/.f64 i n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) (fma.f64 (*.f64 (/.f64 i n) (/.f64 i n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n)))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 (/.f64 i n) (/.f64 i n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64))) n))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (fma.f64 (/.f64 (expm1.f64 i) i) #s(literal 100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal -50 binary64))) n))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

2 calls:

18.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
13.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
94.2%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
94.2%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes32.0ms (0.3%)

Memory
14.1MiB live, 59.9MiB allocated; 5ms collecting garbage
Counts
61 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+.f64 n (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ (/ i n) 1) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) i)))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i i)) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 #s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) (*.f64 n n))) #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 1 binary64))) n))))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n)))))) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 (/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (/.f64 i n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)) n))
(*.f64 #s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)) n)
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) i)) n)
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
Outputs
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

2 calls:

16.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
12.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
94.1%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
94.1%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes63.0ms (0.7%)

Memory
1.8MiB live, 102.1MiB allocated; 7ms collecting garbage
Counts
60 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+.f64 n (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ (/ i n) 1) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) i)))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i i)) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 #s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) (*.f64 n n))) #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 1 binary64))) n))))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n)))))) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 (/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (/.f64 i n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)) n))
(*.f64 #s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)) n)
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) i)) n)
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) (/.f64 i n)))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
Calls

4 calls:

16.0ms
n
16.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
15.0ms
i
12.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
82.3%4i
83.7%3n
78.8%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
78.8%3(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes19.0ms (0.2%)

Memory
-5.9MiB live, 41.0MiB allocated; 1ms collecting garbage
Counts
57 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+.f64 n (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ (/ i n) 1) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) i)))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i i)) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 #s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) (*.f64 n n))) #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 1 binary64))) n))))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n)))))) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 (/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (/.f64 i n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)) n))
(*.f64 #s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)) n)
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) i)) n)
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 #s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
Calls

1 calls:

15.0ms
n
Results
AccuracySegmentsBranch
83.7%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes19.0ms (0.2%)

Memory
-12.2MiB live, 33.6MiB allocated; 3ms collecting garbage
Counts
55 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+.f64 n (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ (/ i n) 1) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) i)))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i i)) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 #s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) (*.f64 n n))) #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 1 binary64))) n))))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n)))))) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 (/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (/.f64 i n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)) n))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)) n))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
Calls

1 calls:

15.0ms
n
Results
AccuracySegmentsBranch
83.6%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes17.0ms (0.2%)

Memory
24.4MiB live, 24.4MiB allocated; 0ms collecting garbage
Counts
54 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+.f64 n (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ (/ i n) 1) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) i)))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i i)) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 #s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) (*.f64 n n))) #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 1 binary64))) n))))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n)))))) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 (/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (/.f64 i n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) i)) n)
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 #s(approx (+ 1 (/ i n)) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 #s(approx (+ (/ i n) 1) (/.f64 i n)) n) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)) n) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
Calls

1 calls:

14.0ms
n
Results
AccuracySegmentsBranch
82.9%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes15.0ms (0.2%)

Memory
-26.5MiB live, 24.9MiB allocated; 3ms collecting garbage
Counts
39 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+.f64 n (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ (/ i n) 1) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) i)))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i i)) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 #s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) (*.f64 n n))) #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 1 binary64))) n))))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n)))))) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
Outputs
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
Calls

1 calls:

10.0ms
n
Results
AccuracySegmentsBranch
82.9%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes24.0ms (0.2%)

Memory
-8.7MiB live, 36.7MiB allocated; 2ms collecting garbage
Counts
38 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+.f64 n (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ (/ i n) 1) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) i)))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i i)) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 #s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) (*.f64 n n))) #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 1 binary64))) n))))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n)))))) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
Calls

2 calls:

11.0ms
i
10.0ms
n
Results
AccuracySegmentsBranch
78.9%4i
81.8%4n
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes62.0ms (0.7%)

Memory
11.3MiB live, 56.6MiB allocated; 5ms collecting garbage
Counts
37 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+.f64 n (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ (/ i n) 1) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) i)))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i i)) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 #s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) (*.f64 n n))) #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 1 binary64))) n))))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n)))))) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 i i) (*.f64 n n)) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i) n))) #s(literal 1 binary64)) n))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n)
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n)))))) n)
Calls

4 calls:

33.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
10.0ms
i
10.0ms
n
7.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Results
AccuracySegmentsBranch
65.1%3i
56.5%2(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
56.5%2(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
67.6%4n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes11.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated; 0ms collecting garbage
Counts
35 → 4
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+.f64 n (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(approx (* (+ (* (- 1/2 (/ 1/2 n)) i) 1) i) i)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ 1 (/ i n)) n) 1) i)) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) #s(approx (- (pow (+ (/ i n) 1) n) 1) i)) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 #s(approx (pow (+ (/ i n) 1) n) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 (*.f64 i i) (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) i)))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) 1) (/.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 i i)) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (fma.f64 i (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) (*.f64 n n))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 (*.f64 n n) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n))) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (/.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) i)) #s(literal 1/2 binary64)) n (*.f64 #s(literal 1/3 binary64) i)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (+.f64 #s(approx (+ (* (/ (* i i) (* n n)) 1/3) (+ (* (+ (* 1/6 i) 1/2) i) (/ (* (- (* -1/2 i) 1/2) i) n))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 i i) (*.f64 i (*.f64 n (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64))))) (*.f64 n n))) #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 (fma.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1/2 binary64)) i)) n (*.f64 (*.f64 i i) #s(literal 1/3 binary64))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i)) #s(literal 1 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i) #s(literal 1 binary64))) n))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
Calls

1 calls:

9.0ms
n
Results
AccuracySegmentsBranch
67.4%4n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes33.0ms (0.3%)

Memory
-28.1MiB live, 18.1MiB allocated; 2ms collecting garbage
Counts
16 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+.f64 n (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (/.f64 (*.f64 i i) n) #s(literal 1/3 binary64)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 #s(literal 1/3 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) (*.f64 #s(literal -1/2 binary64) (/.f64 i n)))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 #s(literal 1/3 binary64) (/.f64 i n))) i n)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) (/.f64 #s(literal -1/2 binary64) n)) i #s(literal 1 binary64))) n))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
Calls

2 calls:

27.0ms
n
5.0ms
i
Results
AccuracySegmentsBranch
63.4%3i
64.7%3n
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
Counts
10 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+.f64 n (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
Calls

1 calls:

3.0ms
n
Results
AccuracySegmentsBranch
63.6%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Counts
9 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+.f64 n (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) #s(literal 100 binary64)) i) n)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))
Calls

1 calls:

3.0ms
n
Results
AccuracySegmentsBranch
63.6%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
13.6MiB live, 13.6MiB allocated; 0ms collecting garbage
Counts
8 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+.f64 n (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) #s(literal 100 binary64)) i) n)
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
Calls

2 calls:

3.0ms
n
3.0ms
i
Results
AccuracySegmentsBranch
62.1%3i
63.3%3n
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes9.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+.f64 n (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
Calls

4 calls:

2.0ms
n
2.0ms
i
2.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
2.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
54.3%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
54.3%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
54.3%1i
54.3%1n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes16.0ms (0.2%)

Memory
-41.4MiB live, 15.1MiB allocated; 15ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 #s(approx (+ (* (+ (* 1/6 i) 1/2) i) 1) (*.f64 #s(literal 1/6 binary64) (*.f64 i i))) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (/ (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) n) (+.f64 n (*.f64 i (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n))))))
Calls

4 calls:

10.0ms
i
2.0ms
n
2.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
2.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
51.3%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
51.3%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
54.6%2i
51.3%1n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes4.0ms (0%)

Memory
9.3MiB live, 9.3MiB allocated; 0ms collecting garbage
Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
Outputs
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
Calls

3 calls:

1.0ms
i
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
51.3%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
51.3%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
51.3%1i
Compiler

Compiled 29 to 20 computations (31% saved)

regimes4.0ms (0%)

Memory
10.3MiB live, 10.3MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

4 calls:

1.0ms
i
1.0ms
n
1.0ms
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
46.4%1n
46.4%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
46.4%1(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
46.4%1i
Compiler

Compiled 30 to 22 computations (26.7% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
0.0
4.966612434906375e-207
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
0.0
4.966612434906375e-207
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
0.0
4.966612434906375e-207
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch100.0ms (1%)

Memory
17.5MiB live, 107.9MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
50.0ms
1.397355687565821e-82
1.8703023641711738e-78
42.0ms
-2.3420357269893925e-297
3.991486182141436e-303
Samples
29.0ms60×2valid
25.0ms129×1valid
14.0ms227×0invalid
6.0ms99×0valid
Compiler

Compiled 756 to 591 computations (21.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-pow: 24.0ms (41.8% of total)
ival-div: 12.0ms (20.9% of total)
adjust: 8.0ms (13.9% of total)
ival-sub: 4.0ms (7% of total)
ival-add: 4.0ms (7% of total)
ival-mult: 4.0ms (7% of total)
exact: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.397355687565821e-82
1.8703023641711738e-78
1.0ms
-2.3420357269893925e-297
3.991486182141436e-303
Compiler

Compiled 864 to 681 computations (21.2% saved)

bsearch37.0ms (0.4%)

Memory
-38.8MiB live, 6.5MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
1.397355687565821e-82
1.8703023641711738e-78
35.0ms
-2.3420357269893925e-297
3.991486182141436e-303
Compiler

Compiled 828 to 645 computations (22.1% saved)

bsearch127.0ms (1.3%)

Memory
39.5MiB live, 181.2MiB allocated; 14ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
71.0ms
2.487165012068529e-158
8.956078157795098e-131
47.0ms
-2.2980455262749423e-273
-2.5981735144388e-278
Samples
50.0ms96×2valid
23.0ms140×1valid
18.0ms234×0invalid
5.0ms82×0valid
1.0ms3valid
Compiler

Compiled 698 to 575 computations (17.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-pow: 38.0ms (47.2% of total)
ival-div: 16.0ms (19.9% of total)
adjust: 11.0ms (13.7% of total)
ival-sub: 5.0ms (6.2% of total)
ival-mult: 5.0ms (6.2% of total)
ival-add: 4.0ms (5% of total)
exact: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.487165012068529e-158
8.956078157795098e-131
1.0ms
-2.2980455262749423e-273
-2.5981735144388e-278
Compiler

Compiled 698 to 575 computations (17.6% saved)

bsearch121.0ms (1.3%)

Memory
-39.4MiB live, 105.3MiB allocated; 14ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
60.0ms
792526667.2300376
1798255555.0934126
1.0ms
-2.2980455262749423e-273
-2.5981735144388e-278
55.0ms
-3.027614294849443e-127
-1.7023274896780679e-130
Samples
36.0ms63×2valid
25.0ms99×1valid
6.0ms89×0invalid
4.0ms46×0valid
Compiler

Compiled 1 671 to 1 075 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-pow: 29.0ms (53.9% of total)
adjust: 8.0ms (14.9% of total)
ival-div: 8.0ms (14.9% of total)
ival-sub: 3.0ms (5.6% of total)
ival-add: 3.0ms (5.6% of total)
ival-mult: 3.0ms (5.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch53.0ms (0.5%)

Memory
34.6MiB live, 34.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
2.487165012068529e-158
8.956078157795098e-131
1.0ms
-2.2980455262749423e-273
-2.5981735144388e-278
47.0ms
-7.502551100234067e+109
-6.559471841769459e+105
Samples
22.0ms63×1valid
15.0ms14×2valid
4.0ms51×0valid
Compiler

Compiled 1 522 to 1 115 computations (26.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-pow: 26.0ms (71.9% of total)
ival-div: 3.0ms (8.3% of total)
adjust: 3.0ms (8.3% of total)
ival-add: 1.0ms (2.8% of total)
ival-sub: 1.0ms (2.8% of total)
ival-mult: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch5.0ms (0%)

Memory
5.2MiB live, 5.1MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
2.487165012068529e-158
8.956078157795098e-131
1.0ms
-2.2980455262749423e-273
-2.5981735144388e-278
1.0ms
-7.502551100234067e+109
-6.559471841769459e+105
Compiler

Compiled 1 610 to 1 148 computations (28.7% saved)

bsearch85.0ms (0.9%)

Memory
-5.8MiB live, 84.3MiB allocated; 9ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
2.487165012068529e-158
8.956078157795098e-131
78.0ms
-9.148008355268627e-203
-1.2416123323375821e-210
Samples
27.0ms64×2valid
8.0ms42×1valid
7.0ms110×0invalid
6.0ms3valid
2.0ms32×0valid
Compiler

Compiled 1 338 to 935 computations (30.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-pow: 20.0ms (49.4% of total)
ival-div: 7.0ms (17.3% of total)
adjust: 6.0ms (14.8% of total)
ival-sub: 2.0ms (4.9% of total)
ival-mult: 2.0ms (4.9% of total)
ival-add: 2.0ms (4.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch93.0ms (1%)

Memory
-17.5MiB live, 78.9MiB allocated; 14ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
87.0ms
7.708321406032972e-43
4.050478320521115e-37
2.0ms
-9.148008355268627e-203
-1.2416123323375821e-210
Samples
56.0ms45×2valid
20.0ms96×1valid
3.0ms40×0invalid
0.0ms0valid
Compiler

Compiled 2 322 to 1 446 computations (37.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-pow: 55.0ms (75.9% of total)
adjust: 6.0ms (8.3% of total)
ival-div: 5.0ms (6.9% of total)
ival-sub: 2.0ms (2.8% of total)
ival-add: 2.0ms (2.8% of total)
ival-mult: 2.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch4.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
7.708321406032972e-43
4.050478320521115e-37
2.0ms
-9.148008355268627e-203
-1.2416123323375821e-210
Compiler

Compiled 2 358 to 1 473 computations (37.5% saved)

bsearch4.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
7.708321406032972e-43
4.050478320521115e-37
2.0ms
-9.148008355268627e-203
-1.2416123323375821e-210
Compiler

Compiled 2 448 to 1 509 computations (38.4% saved)

bsearch70.0ms (0.7%)

Memory
-15.5MiB live, 29.9MiB allocated; 5ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
66.0ms
0.5395009702986487
76077407614888.73
Samples
55.0ms158×1valid
3.0ms41×0invalid
0.0ms0valid
Compiler

Compiled 818 to 525 computations (35.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-pow: 23.0ms (45.4% of total)
ival-div: 16.0ms (31.6% of total)
adjust: 5.0ms (9.9% of total)
ival-add: 2.0ms (3.9% of total)
ival-sub: 2.0ms (3.9% of total)
ival-mult: 2.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify77.0ms (0.8%)

Memory
28.4MiB live, 73.4MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02051712
12841684
24731684
312641676
448961676
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal +inf.0 binary64)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #s(literal 100 binary64)) i) n) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))))
(if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal +inf.0 binary64)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #s(literal 100 binary64)) i) n) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))))
(if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 0 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal +inf.0 binary64)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #s(literal 100 binary64)) i) n) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n) (if (<=.f64 n #s(literal 2294517323743165/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) #s(literal 100 binary64)) i) n) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n) (if (<=.f64 n #s(literal 2294517323743165/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (*.f64 #s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)) n) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n) (if (<=.f64 n #s(literal 2294517323743165/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)) n)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))))
(if (<=.f64 n #s(literal -5481739131412499/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n) (if (<=.f64 n #s(literal 8402963211516713/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))))
(if (<=.f64 n #s(literal -5481739131412499/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n)) (if (<=.f64 n #s(literal 8402963211516713/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))))
(if (<=.f64 n #s(literal -7316598164803107/24388660549343689307668728357759111763660922989570087116087163747073216709529418907189891430183531024686147899385989241370687309994439728955392 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))) (if (<=.f64 n #s(literal -5481739131412499/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n))) (if (<=.f64 n #s(literal 800000000 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n)))) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))))))
(if (<=.f64 n #s(literal -6599999999999999948986081305396123463136376077157199740750115894295395707366936747019742940109718067085312 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))) (if (<=.f64 n #s(literal -5481739131412499/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n))) (if (<=.f64 n #s(literal 8402963211516713/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n) (*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n)))))) n))))
(if (<=.f64 n #s(literal -6599999999999999948986081305396123463136376077157199740750115894295395707366936747019742940109718067085312 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))) (if (<=.f64 n #s(literal -5481739131412499/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744 binary64)) (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n))) (if (<=.f64 n #s(literal 8402963211516713/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n))))))
(if (<=.f64 n #s(literal -3971269629433431/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n))) (if (<=.f64 n #s(literal 8402963211516713/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n)))))
(if (<=.f64 n #s(literal -3971269629433431/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 #s(approx (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) (*.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) n)) i n))) (if (<=.f64 n #s(literal 8620287417370625/23945242826029513411849172299223580994042798784118784 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n)))) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))))
(if (<=.f64 n #s(literal -3971269629433431/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n)))) (if (<=.f64 n #s(literal 8620287417370625/23945242826029513411849172299223580994042798784118784 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n)))) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) n))))))
(if (<=.f64 n #s(literal -3971269629433431/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n)))) (if (<=.f64 n #s(literal 8620287417370625/23945242826029513411849172299223580994042798784118784 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (/.f64 #s(approx (+ (* (+ (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (* (- (* -1/2 i) 1/2) i)) n) (* (* i i) 1/3)) (*.f64 n n)) n)))) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) (*.f64 (fma.f64 #s(approx (+ (* 1/6 i) 1/2) (*.f64 #s(literal 1/6 binary64) i)) i #s(literal 1 binary64)) n))))
(if (<=.f64 i #s(literal 5404319552844595/2251799813685248 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (+ (* (+ (* (* n i) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n))) (* (- 1/2 (/ 1/2 n)) n)) i) n) #s(approx (* (+ (* (+ (* 1/6 i) 1/2) i) 1) n) (*.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 i i) n)))))))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 #s(approx (- 1/2 (/ 1/2 n)) #s(literal 1/2 binary64)) i #s(literal 1 binary64))) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Outputs
(if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal +inf.0 binary64)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #s(literal 100 binary64)) i) n) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))))
(if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal +inf.0 binary64)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #s(literal 100 binary64)) i) n) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))))
(if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 0 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal +inf.0 binary64)) (*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) #s(literal 100 binary64)) i) n) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n) (if (<=.f64 n #s(literal 2294517323743165/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))) #s(literal 100 binary64)) i) n) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n) (if (<=.f64 n #s(literal 2294517323743165/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (*.f64 (/.f64 (*.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 n (-.f64 (log.f64 i) (log.f64 n)))) #s(literal 100 binary64)) i) n) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n) (if (<=.f64 n #s(literal 2294517323743165/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (*.f64 #s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)) n) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n) (if (<=.f64 n #s(literal 2294517323743165/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (*.f64 #s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (/.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (-.f64 (log.f64 i) (log.f64 n))) i)) n) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n) (if (<=.f64 n #s(literal 2294517323743165/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)) n)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))))
(if (<=.f64 n #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n) (if (<=.f64 n #s(literal 2294517323743165/2085924839766513752338888384931203236916703635113918720651407820138886450957656787131798913024 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 n (-.f64 (log.f64 i) (log.f64 n))) i)) n)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))))
(if (<=.f64 n #s(literal -5481739131412499/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n) (if (<=.f64 n #s(literal 8402963211516713/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))))
(if (<=.f64 n #s(literal -5481739131412499/2436328502849999770088345596968797077719056714398751881716976614303237172691606525616403766470502564806326229057852167045864792466300773511644496824078163354882819424989118257467697413872513412088199898369804594718421399481348718736436590903867241403206934700776069386770457147497978527744 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n)) (if (<=.f64 n #s(literal 8402963211516713/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i)) n) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))))
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derivations580.0ms (6%)

Memory
-18.9MiB live, 503.6MiB allocated; 142ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 720 to 213 computations (87.6% saved)

preprocess98.0ms (1%)

Memory
2.9MiB live, 190.5MiB allocated; 19ms collecting garbage
Compiler

Compiled 3 550 to 482 computations (86.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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