Compound Interest

Time bar (total: 7.7s)

start0.0ms (0%)

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

analyze265.0ms (3.5%)

Memory
14.0MiB live, 338.5MiB allocated; 59ms 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)

sample4.4s (57.2%)

Memory
34.1MiB live, 5 191.1MiB allocated; 1.9s collecting garbage
Samples
2.0s4 451×1valid
1.3s1 740×2valid
239.0ms2 013×0valid
181.0ms2 032×0invalid
97.0ms52×3valid
1.0ms15×1exit
Precisions
Click to see histograms. Total time spent on operations: 3.4s
ival-pow: 2.6s (75.5% of total)
ival-div!: 286.0ms (8.4% of total)
adjust: 280.0ms (8.2% of total)
ival-mult!: 144.0ms (4.2% of total)
ival-sub!: 65.0ms (1.9% of total)
ival-add!: 62.0ms (1.8% of total)
Bogosity

explain408.0ms (5.3%)

Memory
22.0MiB live, 531.5MiB allocated; 76ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1970-0-(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
5392(-1.7311248881621447e-286 -1.250160881607e+113)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
510-2(1.525618993404758e-92 -5.261251047582822e+219)(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
30-3(4.814130302272245e-270 1.1344126092797702e-294)(*.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-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-#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))cancellation1970
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)sensitivity1290
/.f64(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))n/u490
(/.f64 i n)underflow49
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)oflow-rescue160
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)overflow22
(/.f64 i n)overflow16
(+.f64 #s(literal 1 binary64) (/.f64 i n))overflow16
Confusion
Predicted +Predicted -
+2020
-2925
Precision
0.8744588744588745
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+20200
-29025
Precision?
0.8744588744588745
Recall?
1.0
Freqs
test
numberfreq
025
1120
262
349
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
137.0ms154×2valid
126.0ms292×1valid
8.0ms3valid
5.0ms60×0valid
Compiler

Compiled 131 to 34 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 250.0ms
ival-pow: 171.0ms (68.3% of total)
ival-div!: 54.0ms (21.6% of total)
adjust: 14.0ms (5.6% of total)
ival-mult!: 5.0ms (2% of total)
ival-add!: 3.0ms (1.2% of total)
ival-sub!: 3.0ms (1.2% of total)

preprocess107.0ms (1.4%)

Memory
-41.3MiB live, 55.1MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032100
183100
220896
356896
4137392
5712592
Stop Event
node-limit
Alt Table
Click to see full alt table
StatusAccuracyProgram
24.7%
(*.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 20 computations (33.3% saved)

series29.0ms (0.4%)

Memory
8.9MiB live, 51.8MiB allocated; 8ms 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
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)
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)

rewrite206.0ms (2.7%)

Memory
17.4MiB live, 244.7MiB allocated; 35ms 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))))
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#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)))))))
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#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)))))))
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#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)))))
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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(approx (- (pow (+ 1 (/ i n)) n) 1) i)
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#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64)))
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#s(approx (+ 1 (/ i n)) #s(literal 1 binary64))
#s(approx (+ 1 (/ i n)) (+.f64 (/.f64 i n) #s(literal 1 binary64)))
#s(approx (/ i n) (/.f64 i n))
#s(approx i i)
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) i)))
#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))
#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 (fma.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) i) (*.f64 n (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) 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)))) (*.f64 i 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)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) 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)))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 (log.f64 i) (log.f64 n))) n) (*.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))
#s(approx (pow (+ 1 (/ i n)) n) (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)))
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#s(approx (+ 1 (/ i n)) (/.f64 i n))
#s(approx (+ 1 (/ i n)) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 n #s(literal -1 binary64)) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n (/.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)) #s(literal 100 binary64)))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) n) (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)) (neg.f64 (/.f64 (*.f64 #s(literal 100 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)))) (pow.f64 n #s(literal 3 binary64)) (*.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))))) i))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -100 binary64) n) (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)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (pow.f64 n #s(literal 3 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)))) (neg.f64 (/.f64 (fma.f64 (*.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 #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))) #s(literal 100 binary64) (*.f64 (*.f64 #s(literal -100 binary64) 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)))) (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))) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.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)))
#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 (pow.f64 n #s(literal 3 binary64)) (/.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)))) i)))
#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 (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)) (*.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)))) i))) i)))
#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 (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)) (neg.f64 (/.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 #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)) (neg.f64 (*.f64 (*.f64 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))))) (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))) i)))
#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)))
#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)))

eval32.0ms (0.4%)

Memory
-18.8MiB live, 44.0MiB allocated; 23ms collecting garbage
Compiler

Compiled 5 640 to 838 computations (85.1% saved)

prune15.0ms (0.2%)

Memory
33.7MiB live, 33.7MiB allocated; 0ms collecting garbage
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New11721138
Fresh000
Picked101
Done000
Total11821139
Accuracy
99.9%
Counts
139 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.1%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
75.1%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64))
32.6%
(*.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)))
17.3%
(*.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)))
39.0%
(*.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)))
12.9%
(*.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)))
16.8%
(*.f64 #s(literal 100 binary64) (/.f64 #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)) (/.f64 i n)))
59.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
42.6%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
75.2%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
54.5%
(*.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)))
56.3%
(*.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)))
72.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
15.0%
(*.f64 #s(literal 100 binary64) #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))))
12.5%
(*.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))))
54.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
54.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (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 (*.f64 n #s(literal 100 binary64))))
15.3%
#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))
12.3%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (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))
70.4%
#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))
12.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (/.f64 (*.f64 #s(literal -100 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 (pow.f64 n #s(literal 3 binary64)) (/.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)))) i)))
Compiler

Compiled 1 160 to 744 computations (35.9% saved)

series225.0ms (2.9%)

Memory
-8.2MiB live, 309.0MiB allocated; 47ms collecting garbage
Counts
31 → 246
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
#s(literal 100 binary64)
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)
(/.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)) n))
#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)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (expm1.f64 i) n) i)
(*.f64 (expm1.f64 i) n)
(expm1.f64 i)
(*.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))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
(*.f64 n n)
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)
(-.f64 (log.f64 i) (log.f64 n))
(log.f64 i)
(log.f64 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 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) i)
(*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))
(*.f64 n #s(literal 100 binary64))
(expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))
(*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)
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 (* (/ (- (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 (- (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 (/ (* (- (exp i) 1) n) i) #s(hole binary64 n))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* 1/2 (* i n)))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))))
#s(approx (* (- (exp i) 1) n) #s(hole binary64 (* i n)))
#s(approx (* (- (exp i) 1) n) #s(hole binary64 (* i (+ n (* 1/2 (* i n))))))
#s(approx (* (- (exp i) 1) n) #s(hole binary64 (* i (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n)))))))
#s(approx (* (- (exp i) 1) n) #s(hole binary64 (* i (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n)))))))))
#s(approx (- (exp i) 1) #s(hole binary64 i))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* 1/2 i)))))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) #s(hole binary64 (/ (* (pow n 2) (- (log i) (log n))) i)))
#s(approx (/ (- (log i) (log n)) i) #s(hole binary64 (/ (- (log i) (log n)) i)))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (log n))))
#s(approx (log i) #s(hole binary64 (log i)))
#s(approx (/ (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) i) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (- (log i) (log n)))) 1)) i))))
#s(approx (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) #s(hole binary64 (* 100 (* n (- (exp (* n (- (log i) (log n)))) 1)))))
#s(approx (- (exp (* (- (log i) (log n)) n)) 1) #s(hole binary64 (- (exp (* n (- (log i) (log n)))) 1)))
#s(approx (* (- (log i) (log n)) n) #s(hole binary64 (* n (- (log i) (log n)))))
#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)))
#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 (/ (* 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)))
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#s(approx (* n n) #s(hole binary64 (pow n 2)))
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#s(approx (/ (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) i) #s(hole binary64 (* 100 (/ (* (pow n 2) (- (log i) (log n))) 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)))))))
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#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 n) (/ (- (log i) (log n)) i)) #s(hole binary64 (/ (* (pow n 2) (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))) i)))
#s(approx (/ (- (log i) (log n)) i) #s(hole binary64 (/ (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))) i)))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
#s(approx (* (- (log i) (log n)) n) #s(hole binary64 (* n (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))))))
Calls

6 calls:

TimeVariablePointExpression
62.0ms
i
@0
((* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (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)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* n n) (/ (- (log i) (log n)) i)) (* n n) (/ (- (log i) (log n)) i) (- (log i) (log n)) (log i) (log n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) i) (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) (* n 100) (- (exp (* (- (log i) (log n)) n)) 1) (* (- (log i) (log n)) n))
55.0ms
i
@-inf
((* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (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)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* n n) (/ (- (log i) (log n)) i)) (* n n) (/ (- (log i) (log n)) i) (- (log i) (log n)) (log i) (log n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) i) (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) (* n 100) (- (exp (* (- (log i) (log n)) n)) 1) (* (- (log i) (log n)) n))
32.0ms
n
@0
((* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (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)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* n n) (/ (- (log i) (log n)) i)) (* n n) (/ (- (log i) (log n)) i) (- (log i) (log n)) (log i) (log n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) i) (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) (* n 100) (- (exp (* (- (log i) (log n)) n)) 1) (* (- (log i) (log n)) n))
28.0ms
i
@inf
((* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (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)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* n n) (/ (- (log i) (log n)) i)) (* n n) (/ (- (log i) (log n)) i) (- (log i) (log n)) (log i) (log n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) i) (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) (* n 100) (- (exp (* (- (log i) (log n)) n)) 1) (* (- (log i) (log n)) n))
20.0ms
n
@-inf
((* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (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)) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (* (- (exp i) 1) n) (- (exp i) 1) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* (* n n) (/ (- (log i) (log n)) i)) (* n n) (/ (- (log i) (log n)) i) (- (log i) (log n)) (log i) (log n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) i) (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) (* n 100) (- (exp (* (- (log i) (log n)) n)) 1) (* (- (log i) (log n)) n))

rewrite231.0ms (3%)

Memory
21.5MiB live, 260.9MiB allocated; 39ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117211446
0121310361
1720010357
087349820
Stop Event
iter-limit
node-limit
iter-limit
Counts
277 → 339
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
#s(literal 100 binary64)
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)
(/.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)) n))
#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)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i))
(/.f64 (*.f64 (expm1.f64 i) n) i)
(*.f64 (expm1.f64 i) n)
(expm1.f64 i)
(*.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))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)))
(*.f64 (*.f64 n n) (/.f64 (-.f64 (log.f64 i) (log.f64 n)) i))
(*.f64 n n)
(/.f64 (-.f64 (log.f64 i) (log.f64 n)) i)
(-.f64 (log.f64 i) (log.f64 n))
(log.f64 i)
(log.f64 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 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))) i)
(*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)))
(*.f64 n #s(literal 100 binary64))
(expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))
(*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)
#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 (- (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 (/ (* (- (exp i) 1) n) i) #s(hole binary64 n))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* 1/2 (* i n)))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))))
#s(approx (* (- (exp i) 1) n) #s(hole binary64 (* i n)))
#s(approx (* (- (exp i) 1) n) #s(hole binary64 (* i (+ n (* 1/2 (* i n))))))
#s(approx (* (- (exp i) 1) n) #s(hole binary64 (* i (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n)))))))
#s(approx (* (- (exp i) 1) n) #s(hole binary64 (* i (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n)))))))))
#s(approx (- (exp i) 1) #s(hole binary64 i))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* 1/2 i)))))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))))
#s(approx (- (exp i) 1) #s(hole binary64 (* i (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i)))))))))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) #s(hole binary64 (/ (* (pow n 2) (- (log i) (log n))) i)))
#s(approx (/ (- (log i) (log n)) i) #s(hole binary64 (/ (- (log i) (log n)) i)))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (log n))))
#s(approx (log i) #s(hole binary64 (log i)))
#s(approx (/ (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) i) #s(hole binary64 (* 100 (/ (* n (- (exp (* n (- (log i) (log n)))) 1)) i))))
#s(approx (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) #s(hole binary64 (* 100 (* n (- (exp (* n (- (log i) (log n)))) 1)))))
#s(approx (- (exp (* (- (log i) (log n)) n)) 1) #s(hole binary64 (- (exp (* n (- (log i) (log n)))) 1)))
#s(approx (* (- (log i) (log n)) n) #s(hole binary64 (* n (- (log i) (log n)))))
#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 (* n n) #s(hole binary64 (pow n 2)))
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#s(approx (/ (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) i) #s(hole binary64 (* 100 (/ (* (pow n 2) (- (log i) (log n))) 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)))))))
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#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 (- (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 n) (/ (- (log i) (log n)) i)) #s(hole binary64 (/ (* (pow n 2) (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))) i)))
#s(approx (/ (- (log i) (log n)) i) #s(hole binary64 (/ (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))) i)))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
#s(approx (* (- (log i) (log n)) n) #s(hole binary64 (* n (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))))))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
#s(literal 100 binary64)
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)
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(/.f64 (*.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) n) i)
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(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 i n) (/.f64 i n)))) (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 i n))))
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(log.f64 (+.f64 (/.f64 i n) #s(literal 1 binary64)))
(/.f64 (neg.f64 i) (neg.f64 n))
(/.f64 i n)
i
n
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n) #s(literal 100 binary64))
(*.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(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #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 (*.f64 (expm1.f64 i) n) i))
(*.f64 (expm1.f64 i) (/.f64 n i))
(*.f64 n (/.f64 (expm1.f64 i) i))
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(/.f64 (*.f64 (expm1.f64 i) n) i)
(*.f64 (expm1.f64 i) n)
(*.f64 n (expm1.f64 i))
(/.f64 (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) #s(literal 1 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
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(expm1.f64 i)
(-.f64 (exp.f64 i) #s(literal 1 binary64))
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n))) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n)))
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(*.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i))
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(*.f64 (pow.f64 n #s(literal 1 binary64)) (pow.f64 n #s(literal 1 binary64)))
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(pow.f64 n #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 n) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 n) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 n) #s(literal 2 binary64))))
(/.f64 (neg.f64 (log.f64 (/.f64 i n))) (neg.f64 i))
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(-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))
(/.f64 (-.f64 (*.f64 (log.f64 i) (log.f64 i)) (*.f64 (log.f64 n) (log.f64 n))) (log.f64 (*.f64 n i)))
(/.f64 (-.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (log.f64 n) #s(literal 3 binary64))) (fma.f64 (log.f64 i) (log.f64 i) (fma.f64 (log.f64 n) (log.f64 n) (*.f64 (log.f64 i) (log.f64 n)))))
(-.f64 (log.f64 (neg.f64 i)) (log.f64 (neg.f64 n)))
(-.f64 (log.f64 i) (log.f64 n))
(log.f64 (/.f64 i n))
(log.f64 i)
(log.f64 n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n))) i)))
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(*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n))) i))
(*.f64 #s(literal 100 binary64) (*.f64 n (/.f64 (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n))) i)))
(/.f64 (neg.f64 (*.f64 (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n))) (*.f64 n #s(literal 100 binary64)))) (neg.f64 i))
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(*.f64 n (*.f64 #s(literal 100 binary64) (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))))
(*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n))) n))
(*.f64 n #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) n)
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 n) (log.f64 (/.f64 i n))) (pow.f64 (exp.f64 n) (log.f64 (/.f64 i n)))) #s(literal 1 binary64)) (+.f64 (pow.f64 (exp.f64 n) (log.f64 (/.f64 i n))) #s(literal 1 binary64)))
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(expm1.f64 (*.f64 (log.f64 (exp.f64 (log.f64 (/.f64 i n)))) n))
(expm1.f64 (*.f64 (log.f64 (exp.f64 n)) (log.f64 (/.f64 i n))))
(expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))
(-.f64 (pow.f64 (exp.f64 n) (log.f64 (/.f64 i n))) #s(literal 1 binary64))
(*.f64 (log.f64 (/.f64 i n)) n)
(*.f64 n (log.f64 (/.f64 i n)))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (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 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) (*.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)) n))) i (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
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#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))
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#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)
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#s(approx (* (log (+ 1 (/ i n))) n) i)
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#s(approx (log (+ 1 (/ i n))) (/.f64 i n))
#s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (/.f64 i (*.f64 n n)) #s(literal -1/2 binary64) (pow.f64 n #s(literal -1 binary64))) i))
#s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 3 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal -2 binary64)))) i (pow.f64 n #s(literal -1 binary64))) i))
#s(approx (log (+ 1 (/ i n))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 i (pow.f64 n #s(literal 4 binary64))) #s(literal -1/4 binary64) (*.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/3 binary64))) i (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal -2 binary64)))) i (pow.f64 n #s(literal -1 binary64))) i))
#s(approx (/ i n) (/.f64 i n))
#s(approx i i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (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 (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) (*.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)) n))) i (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64))) i (*.f64 n #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)) (fma.f64 (*.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))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) (*.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)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
#s(approx (/ (* (- (exp i) 1) n) i) n)
#s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))
#s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n))
#s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n))
#s(approx (* (- (exp i) 1) n) (*.f64 n i))
#s(approx (* (- (exp i) 1) n) (*.f64 (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n) i))
#s(approx (* (- (exp i) 1) n) (*.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n) i))
#s(approx (* (- (exp i) 1) n) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n) i))
#s(approx (- (exp i) 1) i)
#s(approx (- (exp i) 1) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) i))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))
#s(approx (- (exp i) 1) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/24 binary64) i #s(literal 1/6 binary64)) i #s(literal 1/2 binary64)) i #s(literal 1 binary64)) i))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n)))
#s(approx (/ (- (log i) (log n)) i) (/.f64 (log.f64 (/.f64 i n)) i))
#s(approx (- (log i) (log n)) (log.f64 (/.f64 i n)))
#s(approx (log i) (log.f64 i))
#s(approx (/ (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) i) (*.f64 (*.f64 n #s(literal 100 binary64)) (/.f64 (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n))) i)))
#s(approx (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) (*.f64 (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n))) (*.f64 n #s(literal 100 binary64))))
#s(approx (- (exp (* (- (log i) (log n)) n)) 1) (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n))))
#s(approx (* (- (log i) (log n)) n) (log.f64 (pow.f64 (/.f64 i n) n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) n) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 (*.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)))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i)))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) n) #s(literal 100 binary64) (fma.f64 (*.f64 n (/.f64 (*.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)))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) (*.f64 i i))) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 (*.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 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i))))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (/.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i)) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (fma.f64 n (/.f64 (*.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)))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (fma.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (fma.f64 n (/.f64 (*.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)))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) (*.f64 i i)) (fma.f64 n (/.f64 (*.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 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i)))) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) i) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (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)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i)) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (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)) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)) i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) i) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (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)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i)) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (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)) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (*.f64 n n)) i))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n (/.f64 (*.f64 n n) i)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n (/.f64 (*.f64 n n) i))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 i #s(literal 3 binary64))) #s(literal 1/3 binary64) (fma.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n (/.f64 (*.f64 n n) i)))))
#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 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (/.f64 n i))))
#s(approx (log (+ 1 (/ i n))) (fma.f64 #s(literal -1 binary64) (log.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 n n) (*.f64 i i)) #s(literal -1/2 binary64) (/.f64 n i)))))
#s(approx (log (+ 1 (/ i n))) (fma.f64 #s(literal -1 binary64) (log.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (fma.f64 (/.f64 (*.f64 n n) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (/.f64 n i) #s(literal 3 binary64)) #s(literal 1/3 binary64) (/.f64 n i))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i))) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))) n)) n) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 (*.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)))) (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (pow.f64 n #s(literal 3 binary64))) i)))) i))
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#s(approx (- (log i) (log n)) (-.f64 (neg.f64 (neg.f64 (log.f64 i))) (log.f64 n)))
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#s(approx (* (- (log i) (log n)) n) (*.f64 (-.f64 (neg.f64 (neg.f64 (log.f64 i))) (log.f64 n)) n))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (neg.f64 (/.f64 (fma.f64 (/.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) #s(literal -1 binary64) (neg.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)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (neg.f64 (/.f64 (fma.f64 (/.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 n n) (neg.f64 (/.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 #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) (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)))) (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) (neg.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)))
#s(approx (- (exp (* (log (+ 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)))
#s(approx (- (exp (* (log (+ 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 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (neg.f64 (/.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)) #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 (- (exp (* (log (+ 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 (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.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 (*.f64 n n) i)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) i) #s(literal 1/2 binary64) (neg.f64 (*.f64 n n))) i))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) i) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) #s(literal -1 binary64) (neg.f64 (*.f64 n n))) i))))
#s(approx (log (+ 1 (/ i 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 (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 (/ (- (log i) (log n)) i) (/.f64 (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 n)) i))
#s(approx (- (log i) (log n)) (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 n)))
#s(approx (log i) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (/ (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) i) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 n)) n))) i))
#s(approx (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 n)) n))))
#s(approx (- (exp (* (- (log i) (log n)) n)) 1) (expm1.f64 (*.f64 (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 n)) n)))
#s(approx (* (- (log i) (log n)) n) (*.f64 (-.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) (log.f64 n)) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i))) (*.f64 n n)))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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))
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#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (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 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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))
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#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (/.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 #s(literal -1 binary64) (log.f64 n) (log.f64 i)))
#s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (/.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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 (* n n) (*.f64 n n))
#s(approx (log n) (log.f64 n))
#s(approx (/ (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) i) (*.f64 (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) (*.f64 n n)) #s(literal 100 binary64)))
#s(approx (/ (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) i) (*.f64 (fma.f64 (*.f64 n (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i)) #s(literal 50 binary64) (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (/ (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) i) (*.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i) #s(literal 50 binary64) (/.f64 (*.f64 (*.f64 #s(literal 50/3 binary64) n) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64))) i)) n (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (/ (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) i) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i) #s(literal 50/3 binary64) (/.f64 (*.f64 (*.f64 #s(literal 25/6 binary64) n) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64))) i)) n (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i) #s(literal 50 binary64))) n (*.f64 (/.f64 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (log.f64 (/.f64 i n))))
#s(approx (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) (*.f64 (fma.f64 (*.f64 #s(literal 50 binary64) n) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) (log.f64 (pow.f64 (/.f64 i n) #s(literal 100 binary64)))) (*.f64 n n)))
#s(approx (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 50/3 binary64) n) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) (*.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) #s(literal 50 binary64))) n (log.f64 (pow.f64 (/.f64 i n) #s(literal 100 binary64)))) (*.f64 n n)))
#s(approx (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 25/6 binary64) n) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)) (*.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) #s(literal 50/3 binary64))) n (*.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) #s(literal 50 binary64))) n (log.f64 (pow.f64 (/.f64 i n) #s(literal 100 binary64)))) (*.f64 n n)))
#s(approx (* n 100) (*.f64 n #s(literal 100 binary64)))
#s(approx (- (exp (* (- (log i) (log n)) n)) 1) (log.f64 (pow.f64 (/.f64 i n) n)))
#s(approx (- (exp (* (- (log i) (log n)) n)) 1) (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) n) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) (log.f64 i)) (log.f64 n)) n))
#s(approx (- (exp (* (- (log i) (log n)) n)) 1) (*.f64 (-.f64 (fma.f64 (fma.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) n) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)))) n (log.f64 i)) (log.f64 n)) n))
#s(approx (- (exp (* (- (log i) (log n)) n)) 1) (*.f64 (-.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) n) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)) (*.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) #s(literal 1/6 binary64))) n (*.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n (log.f64 i)) (log.f64 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))
#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 (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))) (/.f64 (exp.f64 i) i)) (pow.f64 i #s(literal -1 binary64)))) n))
#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 #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 (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))) (/.f64 (exp.f64 i) i)) (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 (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 (- (exp (* (log (+ 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 (- (exp (* (log (+ 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 (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)) (pow.f64 n #s(literal 3 binary64))))) #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 #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 (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))) (/.f64 (exp.f64 i) i)) (pow.f64 i #s(literal -1 binary64)))) n))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) (/.f64 (*.f64 (-.f64 (log.f64 i) (neg.f64 (neg.f64 (log.f64 n)))) (*.f64 n n)) i))
#s(approx (/ (- (log i) (log n)) i) (/.f64 (-.f64 (log.f64 i) (neg.f64 (neg.f64 (log.f64 n)))) i))
#s(approx (- (log i) (log n)) (-.f64 (log.f64 i) (neg.f64 (neg.f64 (log.f64 n)))))
#s(approx (log n) (neg.f64 (neg.f64 (log.f64 n))))
#s(approx (* (- (log i) (log n)) n) (*.f64 (-.f64 (log.f64 i) (neg.f64 (neg.f64 (log.f64 n)))) 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) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 50 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 #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)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (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)))))
#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)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 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 (- (exp (* (log (+ 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 (/.f64 (expm1.f64 i) i) #s(literal -100 binary64) (*.f64 (/.f64 (*.f64 (exp.f64 i) i) n) #s(literal 50 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 #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)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (neg.f64 n) (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)))))
#s(approx (* (* n n) (/ (- (log i) (log n)) i)) (/.f64 (*.f64 (-.f64 (log.f64 (/.f64 i #s(literal -1 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))) (*.f64 n n)) i))
#s(approx (/ (- (log i) (log n)) i) (/.f64 (-.f64 (log.f64 (/.f64 i #s(literal -1 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))) i))
#s(approx (- (log i) (log n)) (-.f64 (log.f64 (/.f64 i #s(literal -1 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))))
#s(approx (log n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (* (- (log i) (log n)) n) (*.f64 (-.f64 (log.f64 (/.f64 i #s(literal -1 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))) n))

eval67.0ms (0.9%)

Memory
-23.3MiB live, 66.5MiB allocated; 12ms collecting garbage
Compiler

Compiled 13 201 to 1 923 computations (85.4% saved)

prune22.0ms (0.3%)

Memory
31.4MiB live, 31.4MiB allocated; 0ms collecting garbage
Pruning

26 alts after pruning (23 fresh and 3 done)

PrunedKeptTotal
New33116347
Fresh9716
Picked235
Done000
Total34226368
Accuracy
100.0%
Counts
368 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.1%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
75.3%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)) n)
32.6%
(*.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)))
17.3%
(*.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)))
16.8%
(*.f64 #s(literal 100 binary64) (/.f64 #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)) (/.f64 i n)))
59.0%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 i n)))
42.6%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
25.1%
(*.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))
75.2%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
19.8%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (/.f64 n i)) (log.f64 i))) n)) i) n))
76.5%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
54.6%
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (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))) n))
56.3%
(*.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))
13.0%
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i))) n))
18.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
72.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
52.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
19.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i)))))
59.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
58.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n))))
56.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
54.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
54.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (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 (*.f64 n #s(literal 100 binary64))))
32.6%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n))) n) #s(literal 100 binary64)) i))
27.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))) i))
18.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (log.f64 (/.f64 i n)))) i))
Compiler

Compiled 1 284 to 853 computations (33.6% saved)

series421.0ms (5.5%)

Memory
-22.0MiB live, 359.4MiB allocated; 70ms collecting garbage
Counts
35 → 253
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
#s(literal 100 binary64)
(*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n)
(/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)
(expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))
#s(approx (* (log (+ 1 (/ i n))) n) i)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n)))
#s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))
(fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n)
(*.f64 n i)
#s(literal 1/2 binary64)
(*.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(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) 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)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i))
(/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)
(*.f64 (log.f64 (/.f64 i n)) (*.f64 n n))
(log.f64 (/.f64 i n))
(*.f64 n n)
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i))) n))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i))) n)
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)))
(*.f64 n (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i))
(/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)
(fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i))
#s(literal -1 binary64)
(log.f64 n)
(log.f64 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 (* (/ (- (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 (- (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 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 (/ (* (- (exp i) 1) n) i) #s(hole binary64 n))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* 1/2 (* i n)))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))))
#s(approx (+ (* (* n i) 1/2) n) #s(hole binary64 n))
#s(approx (+ (* (* n i) 1/2) n) #s(hole binary64 (+ n (* 1/2 (* i n)))))
#s(approx (* n i) #s(hole binary64 (* i 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 (/ i n) #s(hole binary64 (/ i n)))
#s(approx (/ (* (log (/ i n)) (* n n)) i) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (log (/ 1 n)))) i)))
#s(approx (* (log (/ i n)) (* n n)) #s(hole binary64 (* (pow n 2) (+ (log i) (log (/ 1 n))))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log i) (log (/ 1 n)))))
#s(approx (* n (/ (+ (* -1 (log n)) (log i)) i)) #s(hole binary64 (/ (* n (+ (log i) (* -1 (log n)))) i)))
#s(approx (/ (+ (* -1 (log n)) (log i)) i) #s(hole binary64 (/ (+ (log i) (* -1 (log n))) i)))
#s(approx (+ (* -1 (log n)) (log i)) #s(hole binary64 (+ (log i) (* -1 (log n)))))
#s(approx (log i) #s(hole binary64 (log 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)) 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)))
#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 (/ (* 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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(hole binary64 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)))
#s(approx (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (/ (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 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)))))) (/ (* (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)) (/ (* (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)))
#s(approx (- (exp (* (log (+ 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 (- (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)))
#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)) (+ (/ (* (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 (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ (* 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))) (+ (* 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 (* 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 (/ (* (- (exp i) 1) n) i) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (+ (* (* n i) 1/2) n) #s(hole binary64 (* 1/2 (* i n))))
#s(approx (+ (* (* n i) 1/2) n) #s(hole binary64 (* i (+ (* 1/2 n) (/ n 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))))))))
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
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#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 (/ (* (log (/ i n)) (* n n)) i) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
#s(approx (* (log (/ i n)) (* n n)) #s(hole binary64 (* (pow n 2) (+ (log i) (* -1 (log n))))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log i) (* -1 (log n)))))
#s(approx (* n n) #s(hole binary64 (pow n 2)))
#s(approx (log n) #s(hole binary64 (log 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 (- (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 (* 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)))
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#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)))
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#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 (* n (/ (+ (* -1 (log n)) (log i)) i)) #s(hole binary64 (/ (* n (+ (log i) (log (/ 1 n)))) i)))
#s(approx (/ (+ (* -1 (log n)) (log i)) i) #s(hole binary64 (/ (+ (log i) (log (/ 1 n))) i)))
#s(approx (+ (* -1 (log n)) (log i)) #s(hole binary64 (+ (log i) (log (/ 1 n)))))
#s(approx (log n) #s(hole binary64 (* -1 (log (/ 1 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)))))))
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#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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
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#s(approx (/ (* (log (/ i n)) (* n n)) i) #s(hole binary64 (/ (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n)))) i)))
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#s(approx (log (/ i n)) #s(hole binary64 (+ (log (* -1 i)) (log (/ -1 n)))))
#s(approx (* n (/ (+ (* -1 (log n)) (log i)) i)) #s(hole binary64 (/ (* n (+ (log i) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))) i)))
#s(approx (/ (+ (* -1 (log n)) (log i)) i) #s(hole binary64 (/ (+ (log i) (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))) i)))
#s(approx (+ (* -1 (log n)) (log i)) #s(hole binary64 (+ (log i) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
Calls

6 calls:

TimeVariablePointExpression
91.0ms
i
@-inf
((* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (+ (* (* n i) 1/2) n) (* n i) 1/2 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (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)) (/ (* (log (/ i n)) (* n n)) i) (* (log (/ i n)) (* n n)) (log (/ i n)) (* 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) (* n (/ (+ (* -1 (log n)) (log i)) i)) (/ (+ (* -1 (log n)) (log i)) i) (+ (* -1 (log n)) (log i)) -1 (log n) (log i))
90.0ms
i
@inf
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70.0ms
i
@0
((* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (+ (* (* n i) 1/2) n) (* n i) 1/2 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (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)) (/ (* (log (/ i n)) (* n n)) i) (* (log (/ i n)) (* n n)) (log (/ i n)) (* 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) (* n (/ (+ (* -1 (log n)) (log i)) i)) (/ (+ (* -1 (log n)) (log i)) i) (+ (* -1 (log n)) (log i)) -1 (log n) (log i))
69.0ms
n
@0
((* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (+ (* (* n i) 1/2) n) (* n i) 1/2 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (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)) (/ (* (log (/ i n)) (* n n)) i) (* (log (/ i n)) (* n n)) (log (/ i n)) (* 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) (* n (/ (+ (* -1 (log n)) (log i)) i)) (/ (+ (* -1 (log n)) (log i)) i) (+ (* -1 (log n)) (log i)) -1 (log n) (log i))
44.0ms
n
@inf
((* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (+ (* (* n i) 1/2) n) (* n i) 1/2 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (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)) (/ (* (log (/ i n)) (* n n)) i) (* (log (/ i n)) (* n n)) (log (/ i n)) (* 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) (* n (/ (+ (* -1 (log n)) (log i)) i)) (/ (+ (* -1 (log n)) (log i)) i) (+ (* -1 (log n)) (log i)) -1 (log n) (log i))

rewrite262.0ms (3.4%)

Memory
16.7MiB live, 248.5MiB allocated; 32ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102213057
0105011831
1609511828
0815010790
Stop Event
iter-limit
node-limit
iter-limit
Counts
288 → 352
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
#s(literal 100 binary64)
(*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n)
(/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)
(expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))
#s(approx (* (log (+ 1 (/ i n))) n) i)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
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(fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n)
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(-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
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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))))))
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#s(approx (- (exp (* (log (+ 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 (- (exp (* (log (+ 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 (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
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#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* -1/2 (/ n (pow i 2))) (/ 1 i))))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* n (- (* 1/3 (/ n (pow i 3))) (* 1/2 (/ 1 (pow i 2))))) (/ 1 i))))))))
#s(approx n #s(hole binary64 n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* (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) (+ (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 (+ (* (* n i) 1/2) n) #s(hole binary64 (* n (+ 1 (* 1/2 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 (/ (* (log (/ i n)) (* n n)) i) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
#s(approx (* (log (/ i n)) (* n n)) #s(hole binary64 (* (pow n 2) (+ (log i) (* -1 (log n))))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log i) (* -1 (log n)))))
#s(approx (* n n) #s(hole binary64 (pow n 2)))
#s(approx (log n) #s(hole binary64 (log 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 (- (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 (* 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 (* n (/ (+ (* -1 (log n)) (log i)) i)) #s(hole binary64 (/ (* n (+ (log i) (log (/ 1 n)))) i)))
#s(approx (/ (+ (* -1 (log n)) (log i)) i) #s(hole binary64 (/ (+ (log i) (log (/ 1 n))) i)))
#s(approx (+ (* -1 (log n)) (log i)) #s(hole binary64 (+ (log i) (log (/ 1 n)))))
#s(approx (log n) #s(hole binary64 (* -1 (log (/ 1 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 (- (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 (* 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) 1/2) n) #s(hole binary64 (* -1 (* n (- (* -1/2 i) 1)))))
#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)))))
#s(approx (/ (* (log (/ i n)) (* n n)) i) #s(hole binary64 (/ (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n)))) i)))
#s(approx (* (log (/ i n)) (* n n)) #s(hole binary64 (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n))))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log (* -1 i)) (log (/ -1 n)))))
#s(approx (* n (/ (+ (* -1 (log n)) (log i)) i)) #s(hole binary64 (/ (* n (+ (log i) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))) i)))
#s(approx (/ (+ (* -1 (log n)) (log i)) i) #s(hole binary64 (/ (+ (log i) (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))) i)))
#s(approx (+ (* -1 (log n)) (log i)) #s(hole binary64 (+ (log i) (* -1 (+ (log -1) (* -1 (log (/ -1 n))))))))
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
Outputs
(*.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)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
#s(literal 100 binary64)
(*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n)
(*.f64 n (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i))
(/.f64 (*.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) n) i)
(/.f64 (neg.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (neg.f64 i))
(/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)
(-.f64 (/.f64 (exp.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) (pow.f64 i #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) (exp.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) #s(literal 1 binary64)) (+.f64 (exp.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) (exp.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) #s(literal 1 binary64)))))
(expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))
(-.f64 (exp.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) #s(literal 1 binary64))
#s(approx (* (log (+ 1 (/ i n))) n) i)
i
n
(*.f64 #s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n)))
#s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 n i) #s(literal 1/2 binary64)) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))) (*.f64 n n)) (-.f64 (*.f64 (*.f64 n i) #s(literal 1/2 binary64)) n))
(/.f64 (-.f64 (*.f64 n n) (*.f64 (*.f64 (*.f64 n i) #s(literal 1/2 binary64)) (*.f64 (*.f64 n i) #s(literal 1/2 binary64)))) (-.f64 n (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))
(/.f64 (fma.f64 (pow.f64 (*.f64 n i) #s(literal 3 binary64)) #s(literal 1/8 binary64) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 n i) #s(literal 1/2 binary64)) (*.f64 (*.f64 n i) #s(literal 1/2 binary64)) (-.f64 (*.f64 n n) (*.f64 (*.f64 (*.f64 n i) #s(literal 1/2 binary64)) n))))
(/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 n i) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 n n (-.f64 (*.f64 (*.f64 (*.f64 n i) #s(literal 1/2 binary64)) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))) (*.f64 n (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) i) n n)
(fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n)
(fma.f64 #s(literal 1/2 binary64) (*.f64 n i) n)
(fma.f64 n (*.f64 #s(literal 1/2 binary64) i) n)
(-.f64 n (*.f64 #s(literal -1/2 binary64) (*.f64 n i)))
(+.f64 (*.f64 (*.f64 n i) #s(literal 1/2 binary64)) n)
(+.f64 n (*.f64 (*.f64 n i) #s(literal 1/2 binary64)))
(*.f64 n i)
(*.f64 i n)
#s(literal 1/2 binary64)
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (/.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) (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 i n))
(*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n)
(/.f64 (neg.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 i n)))
(/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 i n))
(-.f64 (/.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (/.f64 i n)) (pow.f64 (/.f64 i n) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))) #s(literal 1 binary64)) (+.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (neg.f64 i) (neg.f64 n))
(/.f64 i n)
(*.f64 #s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (log.f64 (/.f64 i n)) (/.f64 (*.f64 n n) i))) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (log.f64 (/.f64 i n)) (/.f64 (*.f64 n n) i))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (log.f64 (/.f64 i n)) (/.f64 (*.f64 n n) i)))
(*.f64 (log.f64 (/.f64 i n)) (/.f64 (*.f64 n n) i))
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n))) (neg.f64 i))
(/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)
(*.f64 (*.f64 (log.f64 (/.f64 i n)) n) n)
(*.f64 (log.f64 (/.f64 i n)) (*.f64 n n))
(*.f64 (*.f64 n n) (log.f64 (/.f64 i n)))
(log.f64 (pow.f64 (/.f64 i n) (*.f64 n n)))
(-.f64 (log.f64 (neg.f64 i)) (log.f64 (neg.f64 n)))
(-.f64 (log.f64 i) (log.f64 n))
(log.f64 (/.f64 i n))
(*.f64 (pow.f64 n #s(literal 1 binary64)) (pow.f64 n #s(literal 1 binary64)))
(*.f64 (neg.f64 n) (neg.f64 n))
(*.f64 (fabs.f64 n) (fabs.f64 n))
(*.f64 n n)
(pow.f64 n #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 n) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 n) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 n) #s(literal 2 binary64))))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n) i))) n)
(*.f64 (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.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) (/.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n) i)) n))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n) i)) n)
(*.f64 n #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n) i))
(*.f64 (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i) n)
(*.f64 n (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))
(/.f64 (neg.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n)) (neg.f64 i))
(/.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n) i)
(/.f64 (neg.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i))) (neg.f64 i))
(/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)
(fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (/.f64 (log.f64 i) i))
(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (/.f64 (log.f64 i) i))
(+.f64 (/.f64 (log.f64 i) i) (/.f64 (neg.f64 (log.f64 n)) i))
(+.f64 (/.f64 (neg.f64 (log.f64 n)) i) (/.f64 (log.f64 i) i))
(/.f64 (-.f64 (*.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n))) (*.f64 (log.f64 i) (log.f64 i))) (-.f64 (neg.f64 (log.f64 n)) (log.f64 i)))
(/.f64 (-.f64 (*.f64 (log.f64 i) (log.f64 i)) (*.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n)))) (-.f64 (log.f64 i) (neg.f64 (log.f64 n))))
(/.f64 (fma.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 (log.f64 i) #s(literal 3 binary64))) (fma.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n)) (-.f64 (*.f64 (log.f64 i) (log.f64 i)) (*.f64 (neg.f64 (log.f64 n)) (log.f64 i)))))
(/.f64 (+.f64 (pow.f64 (log.f64 i) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 n)) #s(literal 3 binary64))) (fma.f64 (log.f64 i) (log.f64 i) (-.f64 (*.f64 (neg.f64 (log.f64 n)) (neg.f64 (log.f64 n))) (*.f64 (log.f64 i) (neg.f64 (log.f64 n))))))
(fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i))
(fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i))
(-.f64 (log.f64 i) (*.f64 #s(literal 1 binary64) (log.f64 n)))
(+.f64 (neg.f64 (log.f64 n)) (log.f64 i))
(+.f64 (log.f64 i) (neg.f64 (log.f64 n)))
(log.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) i))
(log.f64 (*.f64 i (pow.f64 n #s(literal -1 binary64))))
#s(literal -1 binary64)
(log.f64 n)
(log.f64 i)
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) i n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (fma.f64 (*.f64 #s(literal 100 binary64) (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 (*.f64 n #s(literal 100 binary64))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (*.f64 n i) (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) (*.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)) n))) i (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64))) i (*.f64 n #s(literal 100 binary64))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) n)
#s(approx (* (/ (- (exp (* (log (+ 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))
#s(approx (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) (*.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)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(literal 1 binary64))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (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)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) i (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 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)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) i)
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#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) i (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 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))
#s(approx (* (log (+ 1 (/ i n))) n) i)
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 i n) #s(literal 1 binary64)) i))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 n n)) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i))
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#s(approx i i)
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 n #s(literal 100 binary64)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 #s(literal 100 binary64) (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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) n)
#s(approx (* (/ (- (exp (* (log (+ 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))
#s(approx (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) (*.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)) n)) i (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) i n))
#s(approx (/ (* (- (exp i) 1) n) i) n)
#s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))
#s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n))
#s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n))
#s(approx (+ (* (* n i) 1/2) n) n)
#s(approx (+ (* (* n i) 1/2) n) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))
#s(approx (* n i) (*.f64 n i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) i)
#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))
#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))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (*.f64 (fma.f64 (-.f64 (fma.f64 (+.f64 #s(literal 1/6 binary64) (-.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64)) (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) n))) i (*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 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))
#s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64))
#s(approx (pow (+ 1 (/ i n)) n) (+.f64 i #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64)) i #s(literal 1 binary64)))
#s(approx (pow (+ 1 (/ i n)) n) (fma.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 #s(literal 1 binary64)))
#s(approx (/ i n) (/.f64 i n))
#s(approx (/ (* (log (/ i n)) (* n n)) i) (*.f64 (*.f64 n n) (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i)))
#s(approx (* (log (/ i n)) (* n n)) (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) (*.f64 n n)))
#s(approx (log (/ i n)) (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)))
#s(approx (* n (/ (+ (* -1 (log n)) (log i)) i)) (/.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n) i))
#s(approx (/ (+ (* -1 (log n)) (log i)) i) (/.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) i))
#s(approx (+ (* -1 (log n)) (log i)) (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)))
#s(approx (log i) (log.f64 i))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))) n))) i))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (expm1.f64 (*.f64 (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n)))) (pow.f64 n #s(literal 3 binary64))) i))) i))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))) n)) n) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 (*.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)))) (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n)))) (pow.f64 n #s(literal 3 binary64))) i)))) i))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (fma.f64 (*.f64 (expm1.f64 (*.f64 (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))) n)) n) #s(literal 100 binary64) (fma.f64 (*.f64 n (/.f64 (*.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)))) (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))))) (*.f64 i i))) #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (fma.f64 n (/.f64 (*.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 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n)))) (pow.f64 n #s(literal 3 binary64))) i))))) i))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 n (/.f64 (expm1.f64 (*.f64 (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))) n)) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/.f64 (fma.f64 (expm1.f64 (*.f64 (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))) n)) n (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n)))) (pow.f64 n #s(literal 3 binary64))) i)) i))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/.f64 (fma.f64 (expm1.f64 (*.f64 (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))) n)) n (fma.f64 n (/.f64 (*.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)))) (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n)))) (pow.f64 n #s(literal 3 binary64))) i))) i))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/.f64 (fma.f64 (expm1.f64 (*.f64 (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))) n)) n (fma.f64 n (/.f64 (*.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)))) (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))))) (*.f64 i i)) (fma.f64 n (/.f64 (*.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 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n)))) (pow.f64 n #s(literal 3 binary64))) i)))) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (expm1.f64 (*.f64 (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))) n)) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n)))) i) (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))))) #s(literal 1 binary64)) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 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)))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n)))) (*.f64 n n)) i)) (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))))) #s(literal 1 binary64)) i))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 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)))) (*.f64 i i)) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n)))) (/.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 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n)))) (*.f64 n n)) i))) (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))))) #s(literal 1 binary64)) i))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 (*.f64 (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))) n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (*.f64 n n) (/.f64 (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n)))) i) (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 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)))) (*.f64 i i)) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n)))) (*.f64 n n)) i)) (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))))) #s(literal 1 binary64)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 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)))) (*.f64 i i)) (fma.f64 (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n)))) (/.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 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n)))) (*.f64 n n)) i))) (pow.f64 (exp.f64 n) (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))))) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))) n))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))) n (/.f64 (*.f64 n n) i)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))) n (/.f64 (*.f64 n n) i))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 i #s(literal 3 binary64))) #s(literal 1/3 binary64) (fma.f64 (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))) n (/.f64 (*.f64 n n) i)))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (fma.f64 (neg.f64 (log.f64 i)) #s(literal -1 binary64) (neg.f64 (log.f64 n))) n))) i))
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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)))
#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 (neg.f64 (/.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)) #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 (* (log (+ 1 (/ i n))) n) (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.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 (*.f64 n n) i)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) i) #s(literal 1/2 binary64) (neg.f64 (*.f64 n n))) i))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) i) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) i) #s(literal -1 binary64) (neg.f64 (*.f64 n n))) i))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 (*.f64 n (/.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)) #s(literal 100 binary64)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (neg.f64 (/.f64 (*.f64 #s(literal -100 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 (pow.f64 n #s(literal 3 binary64)) (/.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)))) i)))
#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 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) (neg.f64 (/.f64 (*.f64 #s(literal 100 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)))) (pow.f64 n #s(literal 3 binary64)) (*.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))))) i))) i)))
#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 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (pow.f64 n #s(literal 3 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)))) (neg.f64 (/.f64 (fma.f64 (*.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 #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))) #s(literal 100 binary64) (*.f64 (*.f64 #s(literal -100 binary64) 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)))) (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))) i)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 n (/.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)))
#s(approx (* (/ (- (exp (* (log (+ 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 (pow.f64 n #s(literal 3 binary64)) (/.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)))) i)))
#s(approx (* (/ (- (exp (* (log (+ 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 (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)) (*.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)))) i))) i)))
#s(approx (* (/ (- (exp (* (log (+ 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 (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)) (neg.f64 (/.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 #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)) (neg.f64 (*.f64 (*.f64 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))))) (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))) i)))
#s(approx (+ (* (* n i) 1/2) n) (*.f64 (neg.f64 i) (fma.f64 #s(literal -1/2 binary64) n (neg.f64 (/.f64 n i)))))
#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)))
#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 (neg.f64 (/.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)) #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 (neg.f64 (/.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)) #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 (/ (* (log (/ i n)) (* n n)) i) (/.f64 (*.f64 (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))
#s(approx (* (log (/ i n)) (* n n)) (*.f64 (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)))
#s(approx (log (/ i 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 (* n (/ (+ (* -1 (log n)) (log i)) i)) (*.f64 n (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (*.f64 n (/.f64 #s(literal -1 binary64) i))) (log.f64 #s(literal -1 binary64))) i)))
#s(approx (/ (+ (* -1 (log n)) (log i)) i) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (*.f64 n (/.f64 #s(literal -1 binary64) i))) (log.f64 #s(literal -1 binary64))) i))
#s(approx (+ (* -1 (log n)) (log i)) (fma.f64 #s(literal -1 binary64) (log.f64 (*.f64 n (/.f64 #s(literal -1 binary64) i))) (log.f64 #s(literal -1 binary64))))
#s(approx (log i) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 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 #s(literal 100 binary64) (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i))) i)) (*.f64 n n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 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 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 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 #s(literal 100 binary64) (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i))) i)) (*.f64 n n)))
#s(approx (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 #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 (* (/ (- (exp (* (log (+ 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 #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 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n) 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 #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))) 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 #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))) 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 (-.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) (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 #s(literal 1/3 binary64) (pow.f64 i #s(literal 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 n n)
#s(approx (* 100 (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 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 #s(literal 100 binary64) (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i))) i)) (*.f64 n n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 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 #s(literal 1/2 binary64) (pow.f64 i #s(literal 3 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 #s(literal 100 binary64) (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i))) i)) (*.f64 n n)))
#s(approx (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 #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 (* (/ (- (exp (* (log (+ 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 #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 (+ (* (* n i) 1/2) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 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))
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#s(approx (pow (+ 1 (/ i n)) n) (fma.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n #s(literal 1 binary64)))
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#s(approx (* (/ (- (exp (* (log (+ 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 (/ (- (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)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 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 (* 100 (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (+ (* (* n i) 1/2) n) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1 binary64)) n)))
#s(approx (- (pow (+ 1 (/ i n)) n) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 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 (pow (+ 1 (/ i n)) n) (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 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 (*.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(approx (/ (* (log (/ i n)) (* n n)) i) (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))) (*.f64 n n)) i))
#s(approx (* (log (/ i n)) (* n n)) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))) (*.f64 n n)))
#s(approx (log (/ i n)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))))
#s(approx (* n (/ (+ (* -1 (log n)) (log i)) i)) (*.f64 n (/.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64) (log.f64 i)) i)))
#s(approx (/ (+ (* -1 (log n)) (log i)) i) (/.f64 (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64) (log.f64 i)) i))
#s(approx (+ (* -1 (log n)) (log i)) (fma.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))) #s(literal -1 binary64) (log.f64 i)))
#s(approx (log n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))

eval36.0ms (0.5%)

Memory
7.0MiB live, 63.7MiB allocated; 7ms collecting garbage
Compiler

Compiled 12 480 to 1 665 computations (86.7% saved)

prune51.0ms (0.7%)

Memory
-4.0MiB live, 42.1MiB allocated; 4ms collecting garbage
Pruning

27 alts after pruning (22 fresh and 5 done)

PrunedKeptTotal
New3077314
Fresh31518
Picked325
Done033
Total31327340
Accuracy
100.0%
Counts
340 → 27
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.1%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
17.7%
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
76.5%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
13.0%
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n) i))) n)
32.6%
(*.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)))
16.8%
(*.f64 #s(literal 100 binary64) (/.f64 #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)) (/.f64 i n)))
42.6%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
25.1%
(*.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))
75.2%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
19.8%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (/.f64 n i)) (log.f64 i))) n)) i) n))
54.6%
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (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))) n))
56.3%
(*.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))
13.0%
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) i))) n))
18.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (*.f64 (log.f64 (/.f64 i n)) n) n) i)))
18.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
72.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
52.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
19.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i)))))
59.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
58.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n))))
56.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
9.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))))
54.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
54.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (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 (*.f64 n #s(literal 100 binary64))))
27.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))) i))
18.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (log.f64 (/.f64 i n)))) i))
71.8%
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
Compiler

Compiled 1 343 to 892 computations (33.6% saved)

series274.0ms (3.6%)

Memory
-32.1MiB live, 325.3MiB allocated; 92ms collecting garbage
Counts
38 → 277
Calls
Call 1
Inputs
(*.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 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i))
#s(literal 100 binary64)
(/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)
(expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))
#s(approx (* (log (+ 1 (/ i n))) n) i)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64)))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))
#s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64)))
(*.f64 (*.f64 n i) #s(literal 1/2 binary64))
(*.f64 n i)
#s(literal 1/2 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)
#s(literal 1 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (*.f64 (log.f64 (/.f64 i n)) n) n) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (*.f64 (log.f64 (/.f64 i n)) n) n) i))
(/.f64 (*.f64 (*.f64 (log.f64 (/.f64 i n)) n) n) i)
(*.f64 (*.f64 (log.f64 (/.f64 i n)) n) n)
(*.f64 (log.f64 (/.f64 i n)) n)
(log.f64 (/.f64 i n))
(/.f64 i n)
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) i))) n))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) i))) n)
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) i)))
(*.f64 n (/.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) i))
(/.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) i)
(+.f64 (neg.f64 (log.f64 n)) (log.f64 i))
(neg.f64 (log.f64 n))
(log.f64 n)
(log.f64 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) 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)))))))
#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 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 (/ (* (- (exp i) 1) n) i) #s(hole binary64 n))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* 1/2 (* i n)))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))))
#s(approx (+ (* (* n i) 1/2) n) #s(hole binary64 n))
#s(approx (+ (* (* n i) 1/2) n) #s(hole binary64 (+ n (* 1/2 (* i n)))))
#s(approx (* (* n i) 1/2) #s(hole binary64 (* 1/2 (* i n))))
#s(approx (* n i) #s(hole binary64 (* i n)))
#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 (+ (* (- 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 (/ (* (* (log (/ i n)) n) n) i) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (log (/ 1 n)))) i)))
#s(approx (* (* (log (/ i n)) n) n) #s(hole binary64 (* (pow n 2) (+ (log i) (log (/ 1 n))))))
#s(approx (* (log (/ i n)) n) #s(hole binary64 (* n (+ (log i) (log (/ 1 n))))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log i) (log (/ 1 n)))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx (* n (/ (+ (neg (log n)) (log i)) i)) #s(hole binary64 (/ (* n (- (log i) (log n))) i)))
#s(approx (/ (+ (neg (log n)) (log i)) i) #s(hole binary64 (/ (- (log i) (log n)) i)))
#s(approx (+ (neg (log n)) (log i)) #s(hole binary64 (- (log i) (log n))))
#s(approx (log i) #s(hole binary64 (log 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)) 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) 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 (/ (* (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)))
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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)))
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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))))))
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#s(approx (+ (* (* n i) 1/2) n) #s(hole binary64 (* 1/2 (* i n))))
#s(approx (+ (* (* n i) 1/2) n) #s(hole binary64 (* i (+ (* 1/2 n) (/ n 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)) i))))
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#s(approx (* (/ (- (exp (* (log (+ 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)))
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#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (* i (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (+ (* (- 1/2 (/ 1/2 n)) i) 1) #s(hole binary64 (* i (- (+ 1/2 (/ 1 i)) (* 1/2 (/ 1 n))))))
#s(approx (/ (* (* (log (/ i n)) n) n) i) #s(hole binary64 (/ (* (pow n 2) (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))) i)))
#s(approx (* (* (log (/ i n)) n) n) #s(hole binary64 (* (pow n 2) (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
#s(approx (* (log (/ i n)) n) #s(hole binary64 (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))
#s(approx (* n (/ (+ (neg (log n)) (log i)) i)) #s(hole binary64 (/ (* n (- (* -1 (log (/ 1 i))) (log n))) i)))
#s(approx (/ (+ (neg (log n)) (log i)) i) #s(hole binary64 (/ (- (* -1 (log (/ 1 i))) (log n)) i)))
#s(approx (+ (neg (log n)) (log i)) #s(hole binary64 (- (* -1 (log (/ 1 i))) (log n))))
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#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 (/ (* (* (log (/ i n)) n) n) i) #s(hole binary64 (/ (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n)))) i)))
#s(approx (* (* (log (/ i n)) n) n) #s(hole binary64 (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n))))))
#s(approx (* (log (/ i n)) n) #s(hole binary64 (* n (+ (log (* -1 i)) (log (/ -1 n))))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log (* -1 i)) (log (/ -1 n)))))
#s(approx (* n (/ (+ (neg (log n)) (log i)) i)) #s(hole binary64 (/ (* n (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))) i)))
#s(approx (/ (+ (neg (log n)) (log i)) i) #s(hole binary64 (/ (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))) i)))
#s(approx (+ (neg (log n)) (log i)) #s(hole binary64 (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (neg (log n)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
Calls

6 calls:

TimeVariablePointExpression
81.0ms
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) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (+ (* (* n i) 1/2) n) (* (* n i) 1/2) (* n i) 1/2 (* 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) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (* (log (/ i n)) n) n) i) (* (* (log (/ i n)) n) n) (* (log (/ i n)) n) (log (/ i n)) (/ i 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) (* n (/ (+ (neg (log n)) (log i)) i)) (/ (+ (neg (log n)) (log i)) i) (+ (neg (log n)) (log i)) (neg (log n)) (log n) (log i))
48.0ms
i
@0
((* (* 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) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (+ (* (* n i) 1/2) n) (* (* n i) 1/2) (* n i) 1/2 (* 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) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (* (log (/ i n)) n) n) i) (* (* (log (/ i n)) n) n) (* (log (/ i n)) n) (log (/ i n)) (/ i 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) (* n (/ (+ (neg (log n)) (log i)) i)) (/ (+ (neg (log n)) (log i)) i) (+ (neg (log n)) (log i)) (neg (log n)) (log n) (log i))
42.0ms
n
@0
((* (* 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) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (+ (* (* n i) 1/2) n) (* (* n i) 1/2) (* n i) 1/2 (* 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) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (* (log (/ i n)) n) n) i) (* (* (log (/ i n)) n) n) (* (log (/ i n)) n) (log (/ i n)) (/ i 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) (* n (/ (+ (neg (log n)) (log i)) i)) (/ (+ (neg (log n)) (log i)) i) (+ (neg (log n)) (log i)) (neg (log n)) (log n) (log i))
38.0ms
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) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (+ (* (* n i) 1/2) n) (* (* n i) 1/2) (* n i) 1/2 (* 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) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (* (log (/ i n)) n) n) i) (* (* (log (/ i n)) n) n) (* (log (/ i n)) n) (log (/ i n)) (/ i 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) (* n (/ (+ (neg (log n)) (log i)) i)) (/ (+ (neg (log n)) (log i)) i) (+ (neg (log n)) (log i)) (neg (log n)) (log n) (log i))
30.0ms
n
@-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) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (- (exp i) 1) n) i) (+ (* (* n i) 1/2) n) (* (* n i) 1/2) (* n i) 1/2 (* 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) 1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/ (* (* (log (/ i n)) n) n) i) (* (* (log (/ i n)) n) n) (* (log (/ i n)) n) (log (/ i n)) (/ i 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) (* n (/ (+ (neg (log n)) (log i)) i)) (/ (+ (neg (log n)) (log i)) i) (+ (neg (log n)) (log i)) (neg (log n)) (log n) (log i))

rewrite239.0ms (3.1%)

Memory
24.3MiB live, 301.7MiB allocated; 43ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114514422
0118412997
1679812994
0822611815
Stop Event
iter-limit
node-limit
iter-limit
Counts
315 → 384
Calls
Call 1
Inputs
(*.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 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i))
#s(literal 100 binary64)
(/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)
(expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))
#s(approx (* (log (+ 1 (/ i n))) n) i)
i
n
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64)))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))
#s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64)))
(*.f64 (*.f64 n i) #s(literal 1/2 binary64))
(*.f64 n i)
#s(literal 1/2 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)
#s(literal 1 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (*.f64 (log.f64 (/.f64 i n)) n) n) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (*.f64 (log.f64 (/.f64 i n)) n) n) i))
(/.f64 (*.f64 (*.f64 (log.f64 (/.f64 i n)) n) n) i)
(*.f64 (*.f64 (log.f64 (/.f64 i n)) n) n)
(*.f64 (log.f64 (/.f64 i n)) n)
(log.f64 (/.f64 i n))
(/.f64 i n)
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) i))) n))
(*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) i))) n)
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) i)))
(*.f64 n (/.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) i))
(/.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) i)
(+.f64 (neg.f64 (log.f64 n)) (log.f64 i))
(neg.f64 (log.f64 n))
(log.f64 n)
(log.f64 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) 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)))))))
#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 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 (/ (* (- (exp i) 1) n) i) #s(hole binary64 n))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* 1/2 (* i n)))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* i (+ (* 1/6 (* i n)) (* 1/2 n))))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(hole binary64 (+ n (* i (+ (* 1/2 n) (* i (+ (* 1/24 (* i n)) (* 1/6 n))))))))
#s(approx (+ (* (* n i) 1/2) n) #s(hole binary64 n))
#s(approx (+ (* (* n i) 1/2) n) #s(hole binary64 (+ n (* 1/2 (* i n)))))
#s(approx (* (* n i) 1/2) #s(hole binary64 (* 1/2 (* i n))))
#s(approx (* n i) #s(hole binary64 (* i n)))
#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 (+ (* (- 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 (/ (* (* (log (/ i n)) n) n) i) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (log (/ 1 n)))) i)))
#s(approx (* (* (log (/ i n)) n) n) #s(hole binary64 (* (pow n 2) (+ (log i) (log (/ 1 n))))))
#s(approx (* (log (/ i n)) n) #s(hole binary64 (* n (+ (log i) (log (/ 1 n))))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log i) (log (/ 1 n)))))
#s(approx (/ i n) #s(hole binary64 (/ i n)))
#s(approx (* n (/ (+ (neg (log n)) (log i)) i)) #s(hole binary64 (/ (* n (- (log i) (log n))) i)))
#s(approx (/ (+ (neg (log n)) (log i)) i) #s(hole binary64 (/ (- (log i) (log n)) i)))
#s(approx (+ (neg (log n)) (log i)) #s(hole binary64 (- (log i) (log n))))
#s(approx (log i) #s(hole binary64 (log 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)) 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 (- (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 (* 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 (* 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 (* n (/ (+ (neg (log n)) (log i)) i)) #s(hole binary64 (/ (* n (- (log i) (* -1 (log (/ 1 n))))) i)))
#s(approx (/ (+ (neg (log n)) (log i)) i) #s(hole binary64 (/ (- (log i) (* -1 (log (/ 1 n)))) i)))
#s(approx (+ (neg (log n)) (log i)) #s(hole binary64 (- (log i) (* -1 (log (/ 1 n))))))
#s(approx (neg (log n)) #s(hole binary64 (log (/ 1 n))))
#s(approx (log n) #s(hole binary64 (* -1 (log (/ 1 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 (* 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 (* 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) 1/2) n) #s(hole binary64 (* -1 (* n (- (* -1/2 i) 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 (/ (* (* (log (/ i n)) n) n) i) #s(hole binary64 (/ (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n)))) i)))
#s(approx (* (* (log (/ i n)) n) n) #s(hole binary64 (* (pow n 2) (+ (log (* -1 i)) (log (/ -1 n))))))
#s(approx (* (log (/ i n)) n) #s(hole binary64 (* n (+ (log (* -1 i)) (log (/ -1 n))))))
#s(approx (log (/ i n)) #s(hole binary64 (+ (log (* -1 i)) (log (/ -1 n)))))
#s(approx (* n (/ (+ (neg (log n)) (log i)) i)) #s(hole binary64 (/ (* n (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))) i)))
#s(approx (/ (+ (neg (log n)) (log i)) i) #s(hole binary64 (/ (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))) i)))
#s(approx (+ (neg (log n)) (log i)) #s(hole binary64 (- (log i) (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (neg (log n)) #s(hole binary64 (* -1 (+ (log -1) (* -1 (log (/ -1 n)))))))
#s(approx (log n) #s(hole binary64 (+ (log -1) (* -1 (log (/ -1 n))))))
Outputs
(*.f64 (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) #s(literal 100 binary64)) n)
(*.f64 n (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) #s(literal 100 binary64)))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
(*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) i)
#s(literal 100 binary64)
(/.f64 (neg.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) (neg.f64 i))
(/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)
(-.f64 (/.f64 (exp.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) (pow.f64 i #s(literal -1 binary64)))
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(expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))
(-.f64 (exp.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) #s(literal 1 binary64))
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i
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(*.f64 #s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64)))))
#s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))
#s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64)))
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(*.f64 n (*.f64 #s(literal 1/2 binary64) i))
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(*.f64 (*.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(literal 100 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))
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(*.f64 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))))
#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)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i))) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i)) #s(literal 1 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 1 binary64)))
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(fma.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i #s(literal 1 binary64))
(fma.f64 i (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 i) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))))
(+.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) i) #s(literal 1 binary64))
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#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (*.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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) n (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i))) i)) n))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal 100 binary64) (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i))) i)) n))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n) 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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (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 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (+.f64 (fma.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (*.f64 i i)) #s(literal -1/2 binary64) (fma.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (/.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 n n)
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 (*.f64 (*.f64 n n) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)) #s(literal 100 binary64)))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i))) (*.f64 n n)))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) n (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i))) i)) (*.f64 n n)))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal 100 binary64) (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i))) i)) (*.f64 n n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (*.f64 n n) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)))
#s(approx (* (/ (- (exp (* (log (+ 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 #s(literal -1 binary64) (log.f64 n) (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 (* (/ (- (exp (* (log (+ 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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 (* (/ (- (exp (* (log (+ 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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 (+ (* (* n i) 1/2) n) (*.f64 (fma.f64 #s(literal 1/2 binary64) i #s(literal 1 binary64)) n))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 (*.f64 (*.f64 n n) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)) #s(literal 100 binary64)))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i))) (*.f64 n n)))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) n (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i))) i)) (*.f64 n n)))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal -1 binary64) (log.f64 n) (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 #s(literal 100 binary64) (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i))) i)) (*.f64 n n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (*.f64 (*.f64 n n) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i)))
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#s(approx (* (* 100 (/ (- (exp (* (log (+ 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 (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (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 #s(literal 50 binary64) (*.f64 (exp.f64 i) i))) n))))
#s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (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 (/ (- (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)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 i i) (exp.f64 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 (- (exp (* (log (+ 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 (* (* 100 (/ (- (exp (* (log (+ 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 (/ (- (exp (* (log (+ 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 (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (*.f64 (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))) n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (*.f64 (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))) n)))
#s(approx (+ (* (* n i) 1/2) n) (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) i) #s(literal 1 binary64)) n)))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 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 (/ (- (exp (* (log (+ 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 (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (*.f64 (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))) n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (*.f64 (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))) n)))
#s(approx (/ (* (* (log (/ i n)) n) n) i) (/.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))) (*.f64 n n)) i))
#s(approx (* (* (log (/ i n)) n) n) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))) (*.f64 n n)))
#s(approx (* (log (/ i n)) n) (*.f64 (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))) n))
#s(approx (log (/ i n)) (log.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 i))))
#s(approx (* n (/ (+ (neg (log n)) (log i)) i)) (*.f64 n (/.f64 (-.f64 (log.f64 (/.f64 i #s(literal -1 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))) i)))
#s(approx (/ (+ (neg (log n)) (log i)) i) (/.f64 (-.f64 (log.f64 (/.f64 i #s(literal -1 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))) i))
#s(approx (+ (neg (log n)) (log i)) (-.f64 (log.f64 (/.f64 i #s(literal -1 binary64))) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)))))
#s(approx (neg (log n)) (neg.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64)))))
#s(approx (log n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 #s(literal -1 binary64))))

eval43.0ms (0.6%)

Memory
-3.5MiB live, 95.1MiB allocated; 13ms collecting garbage
Compiler

Compiled 14 049 to 1 890 computations (86.5% saved)

prune44.0ms (0.6%)

Memory
-21.4MiB live, 72.4MiB allocated; 5ms collecting garbage
Pruning

28 alts after pruning (20 fresh and 8 done)

PrunedKeptTotal
New3359344
Fresh61117
Picked235
Done055
Total34328371
Accuracy
100.0%
Counts
371 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.1%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
76.4%
(*.f64 (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) i) n)
17.7%
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
19.8%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (/.f64 n i)) (log.f64 i)) n))) i)) n)
13.0%
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n)) i)) n)
54.6%
(*.f64 #s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (fma.f64 (*.f64 #s(literal 100 binary64) (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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64))) n)
32.6%
(*.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)))
16.8%
(*.f64 #s(literal 100 binary64) (/.f64 #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)) (/.f64 i n)))
42.6%
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
25.1%
(*.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))
75.2%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
53.0%
(*.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))
13.0%
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) i))) n))
19.3%
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 #s(approx (+ (neg (log n)) (log i)) (log.f64 (/.f64 i n))) i))) n))
56.2%
(*.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 (-.f64 (+.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) 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))
18.2%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (*.f64 (log.f64 (/.f64 i n)) n) n) i)))
18.1%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
72.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
52.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
59.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
58.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n))))
56.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
9.9%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))))
54.3%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
71.8%
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
27.8%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))) i))
18.1%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (log.f64 (/.f64 i n)))) i))
Compiler

Compiled 2 264 to 858 computations (62.1% saved)

regimes112.0ms (1.5%)

Memory
-12.2MiB live, 93.9MiB allocated; 12ms 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.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)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) 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) #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 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) 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)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.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 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 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 (-.f64 (+.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (log.f64 (/.f64 i n)))) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (*.f64 (log.f64 (/.f64 i n)) n) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 #s(approx (+ (neg (log n)) (log i)) (log.f64 (/.f64 i n))) 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 #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 #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 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (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))) n))
(*.f64 #s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (fma.f64 (*.f64 #s(literal 100 binary64) (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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64))) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (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 (*.f64 n #s(literal 100 binary64))))
(*.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 n (/.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) i))) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i))) n))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n) i))) n)
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n)) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))) i))
(*.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)
#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 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64))
(/.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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n))) n) #s(literal 100 binary64)) i))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (+.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (/.f64 n i)) (log.f64 i))) n)) i) n))
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) (*.f64 (+.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (/.f64 n i)) (log.f64 i)) n))) i)) n)
(*.f64 #s(literal 100 binary64) (/.f64 #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)) (/.f64 i n)))
(*.f64 #s(literal 100 binary64) #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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (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))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (/.f64 (*.f64 #s(literal -100 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 (pow.f64 n #s(literal 3 binary64)) (/.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)))) i)))
Outputs
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64))
(*.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 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

4 calls:

59.0ms
i
13.0ms
n
11.0ms
(*.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)))
10.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
96.4%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
96.4%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)))
93.3%4i
94.7%3n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes22.0ms (0.3%)

Memory
3.5MiB live, 49.0MiB allocated; 3ms collecting garbage
Counts
44 → 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.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)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) 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) #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 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) 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)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.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 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 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 (-.f64 (+.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (log.f64 (/.f64 i n)))) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (*.f64 (log.f64 (/.f64 i n)) n) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 #s(approx (+ (neg (log n)) (log i)) (log.f64 (/.f64 i n))) 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 #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 #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 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (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))) n))
(*.f64 #s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (fma.f64 (*.f64 #s(literal 100 binary64) (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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64))) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (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 (*.f64 n #s(literal 100 binary64))))
(*.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 n (/.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) i))) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i))) n))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n) i))) n)
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n)) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))) i))
(*.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)
#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 #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 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

2 calls:

11.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
9.0ms
(*.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
96.1%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
96.1%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)

regimes21.0ms (0.3%)

Memory
10.3MiB live, 55.0MiB allocated; 3ms collecting garbage
Counts
42 → 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.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)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) 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) #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 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) 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)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.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 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 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 (-.f64 (+.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (log.f64 (/.f64 i n)))) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (*.f64 (log.f64 (/.f64 i n)) n) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 #s(approx (+ (neg (log n)) (log i)) (log.f64 (/.f64 i n))) 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 #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 #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 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (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))) n))
(*.f64 #s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (fma.f64 (*.f64 #s(literal 100 binary64) (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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64))) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (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 (*.f64 n #s(literal 100 binary64))))
(*.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 n (/.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) i))) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i))) n))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n) i))) n)
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n)) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))) i))
(*.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 #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 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n))
Calls

2 calls:

10.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
8.0ms
(*.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
96.1%3(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
96.1%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 (0.8%)

Memory
39.0MiB live, 129.7MiB allocated; 30ms collecting garbage
Counts
41 → 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.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)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) 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) #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 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) 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)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.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 #s(literal 100 binary64) (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i))) i) n)
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) (expm1.f64 i)) (/.f64 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 (-.f64 (+.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) i))) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 #s(approx (* (* n 100) (- (exp (* (- (log i) (log n)) n)) 1)) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 n n)) (log.f64 (/.f64 i n)))) i))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 n (*.f64 n (/.f64 (log.f64 (/.f64 i n)) i)))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)) i)))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (*.f64 (log.f64 (/.f64 i n)) n) n) i)))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 #s(approx (+ (neg (log n)) (log i)) (log.f64 (/.f64 i n))) 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 #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 #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 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (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))) n))
(*.f64 #s(approx (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) (fma.f64 (*.f64 #s(literal 100 binary64) (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 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) i #s(literal 100 binary64))) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (fma.f64 (*.f64 #s(literal 100 binary64) (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 (*.f64 n #s(literal 100 binary64))))
(*.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 n (/.f64 (+.f64 (neg.f64 (log.f64 n)) (log.f64 i)) i))) n))
(*.f64 #s(literal 100 binary64) (*.f64 #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (*.f64 n (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) i))) n))
(*.f64 (*.f64 #s(literal 100 binary64) #s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (/.f64 (*.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (log.f64 i)) n) i))) n)
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 i)) n)) 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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 n #s(literal 100 binary64)) (expm1.f64 (*.f64 (log.f64 (/.f64 i n)) n))) i))
Outputs
(*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i)) n)
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
Calls

4 calls:

24.0ms
n
18.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
10.0ms
i
8.0ms
(*.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
80.9%3i
83.7%3n
76.5%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
76.5%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)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes14.0ms (0.2%)

Memory
-30.0MiB live, 14.3MiB allocated; 11ms collecting garbage
Counts
18 → 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.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)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) 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) #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 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) 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)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.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 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 #s(approx (* (log (+ 1 (/ i n))) n) i)) i) n))
Calls

1 calls:

13.0ms
n
Results
AccuracySegmentsBranch
83.6%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated; 0ms collecting garbage
Counts
17 → 5
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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.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)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) 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) #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 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) 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)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
(*.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 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.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)) (/.f64 (*.f64 (expm1.f64 i) n) i)))
Calls

1 calls:

5.0ms
n
Results
AccuracySegmentsBranch
84.4%5n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory
7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Counts
16 → 5
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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.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)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) 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) #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 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) 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)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
#s(approx (* (* 100 (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i)) n) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
Outputs
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.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 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) (/.f64 #s(approx (- (pow (+ 1 (/ i n)) n) 1) i) (/.f64 i n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (*.f64 #s(literal 100 binary64) (*.f64 (expm1.f64 i) n)) i))
Calls

1 calls:

5.0ms
n
Results
AccuracySegmentsBranch
84.3%5n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes16.0ms (0.2%)

Memory
20.4MiB live, 20.4MiB allocated; 0ms collecting garbage
Counts
14 → 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.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)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) 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) #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 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) 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)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/24 binary64) (*.f64 #s(literal 1/6 binary64) n)) i (*.f64 #s(literal 1/2 binary64) n)) i n))))
Calls

4 calls:

4.0ms
n
4.0ms
i
3.0ms
(*.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)))
3.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
59.7%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
59.7%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)))
65.1%2i
68.5%3n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes6.0ms (0.1%)

Memory
-39.7MiB live, 7.4MiB allocated; 2ms collecting garbage
Counts
12 → 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.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)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) 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) #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)))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n))))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (fma.f64 (*.f64 n i) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) n)) i n))))
Calls

1 calls:

5.0ms
n
Results
AccuracySegmentsBranch
67.5%3n
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
11.0MiB live, 11.0MiB allocated; 0ms collecting garbage
Counts
6 → 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.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))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 (*.f64 (/.f64 (-.f64 #s(approx (pow (+ 1 (/ i n)) n) #s(literal 1 binary64)) #s(literal 1 binary64)) i) n) #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
Calls

2 calls:

2.0ms
n
2.0ms
i
Results
AccuracySegmentsBranch
64.6%3i
65.6%3n
Compiler

Compiled 2 to 4 computations (-100% saved)

regimes7.0ms (0.1%)

Memory
15.4MiB live, 15.4MiB allocated; 0ms collecting garbage
Counts
4 → 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
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)) (/.f64 (*.f64 #s(approx (- (exp i) 1) i) n) i)))
Calls

4 calls:

2.0ms
n
2.0ms
i
1.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i 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)))
Results
AccuracySegmentsBranch
56.9%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
56.9%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)))
59.6%2i
56.9%1n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes4.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated; 0ms collecting garbage
Counts
3 → 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 binary64) n))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) (fma.f64 (*.f64 n i) #s(literal 1/2 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
56.9%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
56.9%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)))
56.9%1i
Compiler

Compiled 29 to 20 computations (31% saved)

regimes25.0ms (0.3%)

Memory
-38.1MiB live, 8.7MiB allocated; 2ms collecting garbage
Counts
2 → 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) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #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 (/ (* (- (exp i) 1) n) i) #s(approx (+ (* (* n i) 1/2) n) (*.f64 (*.f64 n i) #s(literal 1/2 binary64))))))
Calls

4 calls:

1.0ms
n
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
57.4%2i
54.3%1n
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)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes2.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated; 0ms collecting garbage
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

2 calls:

1.0ms
i
1.0ms
n
Results
AccuracySegmentsBranch
54.3%1n
54.3%1i
Compiler

Compiled 2 to 4 computations (-100% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
5.594700403408532e-267
5.115620563713892e-243
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
5.594700403408532e-267
5.115620563713892e-243
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
+inf
NaN
0.0ms
5.594700403408532e-267
5.115620563713892e-243
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Compiler

Compiled 18 to 15 computations (16.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Steps
TimeLeftRight
0.0ms
-1.5109522392558807e-239
-1.622325546330136e-246

Profiling

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