Compound Interest

Time bar (total: 9.0s)

start0.0ms (0%)

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

analyze171.0ms (1.9%)

Memory
-7.5MiB live, 281.6MiB allocated; 19ms 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)

sample3.5s (39.1%)

Memory
16.0MiB live, 4 936.9MiB allocated; 163ms collecting garbage
Samples
1.5s4 564×1valid
1.2s1 684×2valid
158.0ms1 956×0valid
139.0ms2 004×0invalid
59.0ms52×3valid
Precisions
Click to see histograms. Total time spent on operations: 2.7s
ival-pow: 1.8s (66.1% of total)
ival-div: 294.0ms (11% of total)
adjust: 286.0ms (10.7% of total)
ival-sub: 111.0ms (4.1% of total)
ival-mult: 105.0ms (3.9% of total)
ival-add: 95.0ms (3.5% of total)
exact: 14.0ms (0.5% of total)
ival-assert: 4.0ms (0.1% of total)
Bogosity

explain305.0ms (3.4%)

Memory
7.5MiB live, 634.5MiB allocated; 9ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1790-0-(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
6079(7.914829482173013e-181 3.678010837911126e+266)0-(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)
430-7(-1.1293865285376346e-89 -3.129323775111998e+233)(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
30-3(-3.418433501272289e-126 -2.787957401311249e-224)(*.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))cancellation1791
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)sensitivity1190
/.f64(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))n/u360
(/.f64 i n)underflow36
pow.f64(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)oflow-rescue200
(pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)overflow30
(/.f64 i n)overflow20
(+.f64 #s(literal 1 binary64) (/.f64 i n))overflow20
Confusion
Predicted +Predicted -
+1870
-3039
Precision
0.8617511520737328
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+18700
-30138
Precision?
0.8577981651376146
Recall?
1.0
Freqs
test
numberfreq
039
1116
265
336
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
99.0ms282×1valid
90.0ms146×2valid
8.0ms82×0valid
2.0ms3valid
Compiler

Compiled 131 to 34 computations (74% saved)

Precisions
Click to see histograms. Total time spent on operations: 168.0ms
ival-pow: 112.0ms (66.6% of total)
adjust: 20.0ms (11.9% of total)
ival-div: 17.0ms (10.1% of total)
ival-sub: 6.0ms (3.6% of total)
ival-add: 6.0ms (3.6% of total)
ival-mult: 6.0ms (3.6% of total)
exact: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess191.0ms (2.1%)

Memory
32.1MiB live, 268.3MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.6%
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

series46.0ms (0.5%)

Memory
-15.7MiB live, 84.3MiB allocated; 3ms 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
23.0ms
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)
6.0ms
i
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (- (pow (+ 1 (/ i n)) n) 1) (pow (+ 1 (/ i n)) n) (+ 1 (/ i n)) 1 (/ i n) i n)
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)
4.0ms
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)

rewrite190.0ms (2.1%)

Memory
8.8MiB live, 289.3MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

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

eval23.0ms (0.3%)

Memory
-14.1MiB live, 40.7MiB allocated; 4ms collecting garbage
Compiler

Compiled 5 640 to 838 computations (85.1% saved)

prune36.0ms (0.4%)

Memory
25.2MiB live, 73.0MiB allocated; 1ms collecting garbage
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1308138
Fresh000
Picked011
Done000
Total1309139
Accuracy
100.0%
Counts
139 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.2%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
78.2%
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64))
29.6%
(*.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)))
77.1%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
10.2%
(*.f64 #s(literal 100 binary64) #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))))
17.5%
(*.f64 #s(literal 100 binary64) #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))))
49.3%
#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))))
71.0%
#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))
17.6%
#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 563 to 340 computations (39.6% saved)

series525.0ms (5.9%)

Memory
10.7MiB live, 1 051.0MiB allocated; 69ms collecting garbage
Counts
68 → 486
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
#s(literal 100 binary64)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
#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)))
(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))
(/.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)
(*.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))))
#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)))
(expm1.f64 (*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n))
(*.f64 (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n))) n)
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))
(log.f64 (/.f64 #s(literal -1 binary64) i))
(/.f64 #s(literal -1 binary64) i)
#s(literal -1 binary64)
(log.f64 (/.f64 #s(literal -1 binary64) n))
(/.f64 #s(literal -1 binary64) 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))
(pow.f64 n #s(literal 3 binary64))
#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)
(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))))
(exp.f64 n)
#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))))
(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)))
(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)))
(*.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)))
(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))
(*.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)))
(fma.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -2 binary64)) #s(literal 1/24 binary64))
#s(literal 11/24 binary64)
(pow.f64 n #s(literal -2 binary64))
#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))
(pow.f64 n #s(literal -3 binary64))
#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)
(-.f64 (fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64)) (/.f64 #s(literal 1/2 binary64) n))
(fma.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/3 binary64) #s(literal 1/6 binary64))
#s(literal 1/3 binary64)
#s(literal 1/6 binary64)
(/.f64 #s(literal 1/2 binary64) n)
#s(literal 1/2 binary64)
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 100 binary64))
(*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)
(-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))
(*.f64 n #s(literal 100 binary64))
(*.f64 #s(literal 100 binary64) #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 n (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) i)))
(*.f64 n (/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) i))
(/.f64 (expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)) i)
(expm1.f64 (*.f64 (-.f64 (log.f64 i) (log.f64 n)) n))
(*.f64 (-.f64 (log.f64 i) (log.f64 n)) n)
(-.f64 (log.f64 i) (log.f64 n))
(log.f64 i)
(log.f64 n)
(*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i 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 (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* 100 i)))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 i))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (* i (+ 1 (* i (- 1/2 (* 1/2 (/ 1 n))))))))
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#s(approx (log (/ -1 n)) #s(hole binary64 (+ (log -1) (* -1 (log n)))))
#s(approx (/ -1 n) #s(hole binary64 (/ -1 n)))
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#s(approx (+ (* 11/24 (pow n -2)) 1/24) #s(hole binary64 (/ 11/24 (pow n 2))))
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#s(approx (pow n -2) #s(hole binary64 (/ 1 (pow n 2))))
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#s(approx (pow n -3) #s(hole binary64 (/ 1 (pow n 3))))
#s(approx (/ 1/4 n) #s(hole binary64 (/ 1/4 n)))
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#s(approx (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) #s(hole binary64 (/ (+ 1/3 (* -1/2 n)) n)))
#s(approx (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) #s(hole binary64 (/ (+ 1/3 (* n (- (* 1/6 n) 1/2))) n)))
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#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (* (* (- 1/2 (/ 1/2 n)) n) 100) #s(hole binary64 -50))
#s(approx (* (* (- 1/2 (/ 1/2 n)) n) 100) #s(hole binary64 (- (* 50 n) 50)))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 -1/2))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (- (* 1/2 n) 1/2)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ -1/2 n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 n) 1/2) n)))
#s(approx (* n 100) #s(hole binary64 (* 100 n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
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#s(approx (/ (- (exp (* (- (log i) (log n)) n)) 1) i) #s(hole binary64 (/ (* n (- (log i) (log n))) i)))
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#s(approx (/ (- (exp (* (- (log i) (log n)) n)) 1) i) #s(hole binary64 (* n (- (+ (* n (+ (* 1/6 (/ (* n (pow (- (log i) (log n)) 3)) i)) (* 1/2 (/ (pow (- (log i) (log n)) 2) i)))) (/ (log i) i)) (/ (log n) i)))))
#s(approx (/ (- (exp (* (- (log i) (log n)) n)) 1) i) #s(hole binary64 (* n (- (+ (* n (+ (* 1/2 (/ (pow (- (log i) (log n)) 2) i)) (* n (+ (* 1/24 (/ (* n (pow (- (log i) (log n)) 4)) i)) (* 1/6 (/ (pow (- (log i) (log n)) 3) i)))))) (/ (log i) i)) (/ (log n) i)))))
#s(approx (- (exp (* (- (log i) (log n)) n)) 1) #s(hole binary64 (* n (- (log i) (log n)))))
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#s(approx (- (exp (* (- (log i) (log n)) n)) 1) #s(hole binary64 (* n (- (+ (log i) (* n (+ (* 1/6 (* n (pow (- (log i) (log n)) 3))) (* 1/2 (pow (- (log i) (log n)) 2))))) (log n)))))
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#s(approx (log n) #s(hole binary64 (log n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) 100) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
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#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* 100 (- (exp i) 1))))
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#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
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#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (* -1/2 (/ (pow i 2) n))) n)))
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#s(approx (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) #s(hole binary64 1/24))
#s(approx (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) #s(hole binary64 (- 1/24 (* 1/4 (/ 1 n)))))
#s(approx (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) #s(hole binary64 (- (+ 1/24 (/ 11/24 (pow n 2))) (* 1/4 (/ 1 n)))))
#s(approx (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) #s(hole binary64 (- (+ 1/24 (/ 11/24 (pow n 2))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))
#s(approx (+ (* 11/24 (pow n -2)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* 11/24 (pow n -2)) 1/24) #s(hole binary64 (+ 1/24 (* 11/24 (/ 1 (pow n 2))))))
#s(approx (+ (* (pow n -3) 1/4) (/ 1/4 n)) #s(hole binary64 (/ 1/4 n)))
#s(approx (+ (* (pow n -3) 1/4) (/ 1/4 n)) #s(hole binary64 (/ (+ 1/4 (* 1/4 (/ 1 (pow n 2)))) n)))
#s(approx (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* 1/6 n)))
#s(approx (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* n (- 1/6 (* 1/2 (/ 1 n))))))
#s(approx (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* n (- (+ 1/6 (/ 1/3 (pow n 2))) (* 1/2 (/ 1 n))))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 1/6))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (- 1/6 (* 1/2 (/ 1 n)))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (- (+ 1/6 (/ 1/3 (pow n 2))) (* 1/2 (/ 1 n)))))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(hole binary64 (+ 1/6 (* 1/3 (/ 1 (pow n 2))))))
#s(approx (* (* (- 1/2 (/ 1/2 n)) n) 100) #s(hole binary64 (* 50 n)))
#s(approx (* (* (- 1/2 (/ 1/2 n)) n) 100) #s(hole binary64 (* n (- 50 (* 50 (/ 1 n))))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* 1/2 n)))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* n (- 1/2 (* 1/2 (/ 1 n))))))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
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#s(approx (* (- (log i) (log n)) n) #s(hole binary64 (* n (- (log i) (* -1 (log (/ 1 n)))))))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (* -1 (log (/ 1 n))))))
#s(approx (log n) #s(hole binary64 (* -1 (log (/ 1 n)))))
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#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))))
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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 (neg (/ (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) i)) #s(hole binary64 (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ -1 n)) (* -1 (log (/ -1 i))))))) (pow i 2)))))
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#s(approx (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -11/24 i) (* 1/4 (/ i n))) 1/3) n)) (* -1/4 i)) 1/2) n)) (* -1/24 i)) 1/6)))))
#s(approx (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) #s(hole binary64 (+ 1/24 (* -1 (/ (- 1/4 (* 11/24 (/ 1 n))) n)))))
#s(approx (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) #s(hole binary64 (+ 1/24 (* -1 (/ (+ 1/4 (* -1 (/ (- 11/24 (* 1/4 (/ 1 n))) n))) n)))))
#s(approx (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* -1 (* n (- (* 1/2 (/ 1 n)) 1/6)))))
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#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (+ 1/6 (* -1 (/ (- 1/2 (* 1/3 (/ 1 n))) n)))))
#s(approx (* (* (- 1/2 (/ 1/2 n)) n) 100) #s(hole binary64 (* -1 (* n (- (* 50 (/ 1 n)) 50)))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))))
#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 (* (- (log i) (log n)) n) #s(hole binary64 (* n (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))))))
#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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) 100) #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)))))))
Calls

6 calls:

TimeVariablePointExpression
126.0ms
n
@0
((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg (/ (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) i)) (/ (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) i) (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i))) (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) (log (/ -1 i)) (/ -1 i) -1 (log (/ -1 n)) (/ -1 n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)) (pow n 3) 3 (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i) (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) (exp n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) i) (* n 100)) (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n)) (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) (+ (* 11/24 (pow n -2)) 1/24) 11/24 (pow n -2) -2 1/24 (+ (* (pow n -3) 1/4) (/ 1/4 n)) (pow n -3) -3 1/4 (/ 1/4 n) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (+ (* (pow n -2) 1/3) 1/6) 1/3 1/6 (/ 1/2 n) 1/2 (* (* (- 1/2 (/ 1/2 n)) n) 100) (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) (* n 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/ (- (exp (* (- (log i) (log n)) n)) 1) i) (- (exp (* (- (log i) (log n)) n)) 1) (* (- (log i) (log n)) n) (- (log i) (log n)) (log i) (log n) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) 100) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)))
114.0ms
i
@0
((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg (/ (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) i)) (/ (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) i) (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i))) (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) (log (/ -1 i)) (/ -1 i) -1 (log (/ -1 n)) (/ -1 n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)) (pow n 3) 3 (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i) (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) (exp n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) i) (* n 100)) (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n)) (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) (+ (* 11/24 (pow n -2)) 1/24) 11/24 (pow n -2) -2 1/24 (+ (* (pow n -3) 1/4) (/ 1/4 n)) (pow n -3) -3 1/4 (/ 1/4 n) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (+ (* (pow n -2) 1/3) 1/6) 1/3 1/6 (/ 1/2 n) 1/2 (* (* (- 1/2 (/ 1/2 n)) n) 100) (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) (* n 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/ (- (exp (* (- (log i) (log n)) n)) 1) i) (- (exp (* (- (log i) (log n)) n)) 1) (* (- (log i) (log n)) n) (- (log i) (log n)) (log i) (log n) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) 100) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)))
79.0ms
i
@inf
((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg (/ (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) i)) (/ (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) i) (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i))) (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) (log (/ -1 i)) (/ -1 i) -1 (log (/ -1 n)) (/ -1 n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)) (pow n 3) 3 (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i) (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) (exp n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) i) (* n 100)) (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n)) (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) (+ (* 11/24 (pow n -2)) 1/24) 11/24 (pow n -2) -2 1/24 (+ (* (pow n -3) 1/4) (/ 1/4 n)) (pow n -3) -3 1/4 (/ 1/4 n) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (+ (* (pow n -2) 1/3) 1/6) 1/3 1/6 (/ 1/2 n) 1/2 (* (* (- 1/2 (/ 1/2 n)) n) 100) (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) (* n 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/ (- (exp (* (- (log i) (log n)) n)) 1) i) (- (exp (* (- (log i) (log n)) n)) 1) (* (- (log i) (log n)) n) (- (log i) (log n)) (log i) (log n) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) 100) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)))
67.0ms
i
@-inf
((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg (/ (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) i)) (/ (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) i) (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i))) (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) (log (/ -1 i)) (/ -1 i) -1 (log (/ -1 n)) (/ -1 n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)) (pow n 3) 3 (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i) (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) (exp n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) i) (* n 100)) (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n)) (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) (+ (* 11/24 (pow n -2)) 1/24) 11/24 (pow n -2) -2 1/24 (+ (* (pow n -3) 1/4) (/ 1/4 n)) (pow n -3) -3 1/4 (/ 1/4 n) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (+ (* (pow n -2) 1/3) 1/6) 1/3 1/6 (/ 1/2 n) 1/2 (* (* (- 1/2 (/ 1/2 n)) n) 100) (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) (* n 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/ (- (exp (* (- (log i) (log n)) n)) 1) i) (- (exp (* (- (log i) (log n)) n)) 1) (* (- (log i) (log n)) n) (- (log i) (log n)) (log i) (log n) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) 100) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)))
62.0ms
n
@inf
((/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (/ i n) i n (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg (/ (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) i)) (/ (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) i) (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i))) (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) (log (/ -1 i)) (/ -1 i) -1 (log (/ -1 n)) (/ -1 n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)) (pow n 3) 3 (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i) (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) (exp n) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (+ (* (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) i) (* n 100)) (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n)) (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) (+ (* 11/24 (pow n -2)) 1/24) 11/24 (pow n -2) -2 1/24 (+ (* (pow n -3) 1/4) (/ 1/4 n)) (pow n -3) -3 1/4 (/ 1/4 n) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (+ (* (pow n -2) 1/3) 1/6) 1/3 1/6 (/ 1/2 n) 1/2 (* (* (- 1/2 (/ 1/2 n)) n) 100) (* (- 1/2 (/ 1/2 n)) n) (- 1/2 (/ 1/2 n)) (* n 100) (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/ (- (exp (* (- (log i) (log n)) n)) 1) i) (- (exp (* (- (log i) (log n)) n)) 1) (* (- (log i) (log n)) n) (- (log i) (log n)) (log i) (log n) (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) 100) (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)))

rewrite265.0ms (3%)

Memory
-20.5MiB live, 463.5MiB allocated; 38ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0219926486
0229925636
0915524680
Stop Event
iter limit
node limit
iter limit
Counts
554 → 619
Calls
Call 1
Inputs
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
#s(literal 100 binary64)
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(/.f64 i n)
i
n
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#s(approx (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i) #s(hole binary64 (+ (* n (+ (* -1 (/ (log n) i)) (+ (* -1 (/ (log (/ -1 i)) i)) (/ (log -1) i)))) (/ 1 i))))
#s(approx (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i) #s(hole binary64 (+ (* n (+ (* -1 (/ (log n) i)) (+ (* -1 (/ (log (/ -1 i)) i)) (+ (* 1/2 (/ (* n (pow (+ (log -1) (+ (* -1 (log n)) (* -1 (log (/ -1 i))))) 2)) i)) (/ (log -1) i))))) (/ 1 i))))
#s(approx (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i) #s(hole binary64 (+ (* n (+ (* -1 (/ (log n) i)) (+ (* -1 (/ (log (/ -1 i)) i)) (+ (* n (+ (* 1/6 (/ (* n (pow (+ (log -1) (+ (* -1 (log n)) (* -1 (log (/ -1 i))))) 3)) i)) (* 1/2 (/ (pow (+ (log -1) (+ (* -1 (log n)) (* -1 (log (/ -1 i))))) 2) i)))) (/ (log -1) i))))) (/ 1 i))))
#s(approx (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) #s(hole binary64 1))
#s(approx (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) #s(hole binary64 (+ 1 (* n (+ (log -1) (+ (* -1 (log n)) (* -1 (log (/ -1 i)))))))))
#s(approx (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) #s(hole binary64 (+ 1 (* n (+ (log -1) (+ (* -1 (log n)) (+ (* -1 (log (/ -1 i))) (* 1/2 (* n (pow (+ (log -1) (+ (* -1 (log n)) (* -1 (log (/ -1 i))))) 2))))))))))
#s(approx (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) #s(hole binary64 (+ 1 (* n (+ (log -1) (+ (* -1 (log n)) (+ (* -1 (log (/ -1 i))) (* n (+ (* 1/6 (* n (pow (+ (log -1) (+ (* -1 (log n)) (* -1 (log (/ -1 i))))) 3))) (* 1/2 (pow (+ (log -1) (+ (* -1 (log n)) (* -1 (log (/ -1 i))))) 2)))))))))))
#s(approx (exp n) #s(hole binary64 1))
#s(approx (exp n) #s(hole binary64 (+ 1 n)))
#s(approx (exp n) #s(hole binary64 (+ 1 (* n (+ 1 (* 1/2 n))))))
#s(approx (exp n) #s(hole binary64 (+ 1 (* n (+ 1 (* n (+ 1/2 (* 1/6 n))))))))
#s(approx (+ (* (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) i) (* n 100)) #s(hole binary64 (* -25 (/ (pow i 3) (pow n 2)))))
#s(approx (+ (* (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) i) (* n 100)) #s(hole binary64 (/ (+ (* -25 (pow i 3)) (* 100 (* (pow i 2) (* n (+ 1/3 (* 11/24 i)))))) (pow n 2))))
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#s(approx (+ (* (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) i) (* n 100)) #s(hole binary64 (/ (+ (* -25 (pow i 3)) (* n (+ (* 100 (* (pow i 2) (+ 1/3 (* 11/24 i)))) (* n (+ (* i (- (* 100 (* i (- (* -1/4 i) 1/2))) 50)) (* n (+ 100 (* i (+ 50 (* 100 (* i (+ 1/6 (* 1/24 i))))))))))))) (pow n 2))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) #s(hole binary64 (* -25 (/ (pow i 2) (pow n 2)))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) #s(hole binary64 (/ (+ (* -25 (pow i 2)) (* 100 (* i (* n (+ 1/3 (* 11/24 i)))))) (pow n 2))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) #s(hole binary64 (/ (+ (* -25 (pow i 2)) (* n (+ (* 100 (* i (+ 1/3 (* 11/24 i)))) (* n (- (* 100 (* i (- (* -1/4 i) 1/2))) 50))))) (pow n 2))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) #s(hole binary64 (/ (+ (* -25 (pow i 2)) (* n (+ (* 100 (* i (+ 1/3 (* 11/24 i)))) (* n (- (+ (* 100 (* i (- (* -1/4 i) 1/2))) (* n (+ 50 (* 100 (* i (+ 1/6 (* 1/24 i))))))) 50))))) (pow n 2))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) #s(hole binary64 (* -25 (/ i (pow n 2)))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) #s(hole binary64 (/ (+ (* -25 i) (* 100 (* n (+ 1/3 (* 11/24 i))))) (pow n 2))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) #s(hole binary64 (/ (+ (* -25 i) (* n (+ (* 100 (* n (- (* -1/4 i) 1/2))) (* 100 (+ 1/3 (* 11/24 i)))))) (pow n 2))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) #s(hole binary64 (/ (+ (* -25 i) (* n (+ (* 100 (+ 1/3 (* 11/24 i))) (* n (+ (* 100 (* n (+ 1/6 (* 1/24 i)))) (* 100 (- (* -1/4 i) 1/2))))))) (pow n 2))))
#s(approx (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* -1/4 (/ i (pow n 2)))))
#s(approx (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* -1/4 i) (* n (+ 1/3 (* 11/24 i)))) (pow n 2))))
#s(approx (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* -1/4 i) (* n (+ 1/3 (+ (* 11/24 i) (* n (- (* -1/4 i) 1/2)))))) (pow n 2))))
#s(approx (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (/ (+ (* -1/4 i) (* n (+ 1/3 (+ (* 11/24 i) (* n (- (+ (* -1/4 i) (* n (+ 1/6 (* 1/24 i)))) 1/2)))))) (pow n 2))))
#s(approx (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) #s(hole binary64 (/ -1/4 (pow n 3))))
#s(approx (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) #s(hole binary64 (/ (- (* 11/24 n) 1/4) (pow n 3))))
#s(approx (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) #s(hole binary64 (/ (- (* n (+ 11/24 (* -1/4 n))) 1/4) (pow n 3))))
#s(approx (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) #s(hole binary64 (/ (- (* n (+ 11/24 (* n (- (* 1/24 n) 1/4)))) 1/4) (pow n 3))))
#s(approx (+ (* 11/24 (pow n -2)) 1/24) #s(hole binary64 (/ 11/24 (pow n 2))))
#s(approx (+ (* 11/24 (pow n -2)) 1/24) #s(hole binary64 (/ (+ 11/24 (* 1/24 (pow n 2))) (pow n 2))))
#s(approx (pow n -2) #s(hole binary64 (/ 1 (pow n 2))))
#s(approx (+ (* (pow n -3) 1/4) (/ 1/4 n)) #s(hole binary64 (/ 1/4 (pow n 3))))
#s(approx (+ (* (pow n -3) 1/4) (/ 1/4 n)) #s(hole binary64 (/ (+ 1/4 (* 1/4 (pow n 2))) (pow n 3))))
#s(approx (pow n -3) #s(hole binary64 (/ 1 (pow n 3))))
#s(approx (/ 1/4 n) #s(hole binary64 (/ 1/4 n)))
#s(approx (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) #s(hole binary64 (/ 1/3 n)))
#s(approx (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) #s(hole binary64 (/ (+ 1/3 (* -1/2 n)) n)))
#s(approx (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) #s(hole binary64 (/ (+ 1/3 (* n (- (* 1/6 n) 1/2))) n)))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (/ 1/3 (pow n 2))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (/ (+ 1/3 (* -1/2 n)) (pow n 2))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (/ (+ 1/3 (* n (- (* 1/6 n) 1/2))) (pow n 2))))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(hole binary64 (/ 1/3 (pow n 2))))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(hole binary64 (/ (+ 1/3 (* 1/6 (pow n 2))) (pow n 2))))
#s(approx (/ 1/2 n) #s(hole binary64 (/ 1/2 n)))
#s(approx (* (* (- 1/2 (/ 1/2 n)) n) 100) #s(hole binary64 -50))
#s(approx (* (* (- 1/2 (/ 1/2 n)) n) 100) #s(hole binary64 (- (* 50 n) 50)))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 -1/2))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (- (* 1/2 n) 1/2)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ -1/2 n)))
#s(approx (- 1/2 (/ 1/2 n)) #s(hole binary64 (/ (- (* 1/2 n) 1/2) n)))
#s(approx (* n 100) #s(hole binary64 (* 100 n)))
#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 (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) #s(hole binary64 (/ (* (pow n 2) (- (log i) (log n))) i)))
#s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) #s(hole binary64 (* (pow n 2) (- (+ (* 1/2 (/ (* n (pow (- (log i) (log n)) 2)) i)) (/ (log i) i)) (/ (log n) i)))))
#s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) #s(hole binary64 (* (pow n 2) (- (+ (* n (+ (* 1/6 (/ (* n (pow (- (log i) (log n)) 3)) i)) (* 1/2 (/ (pow (- (log i) (log n)) 2) i)))) (/ (log i) i)) (/ (log n) i)))))
#s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) #s(hole binary64 (* (pow n 2) (- (+ (* n (+ (* 1/2 (/ (pow (- (log i) (log n)) 2) i)) (* n (+ (* 1/24 (/ (* n (pow (- (log i) (log n)) 4)) i)) (* 1/6 (/ (pow (- (log i) (log n)) 3) i)))))) (/ (log i) i)) (/ (log n) i)))))
#s(approx (/ (- (exp (* (- (log i) (log n)) n)) 1) i) #s(hole binary64 (/ (* n (- (log i) (log n))) i)))
#s(approx (/ (- (exp (* (- (log i) (log n)) n)) 1) i) #s(hole binary64 (* n (- (+ (* 1/2 (/ (* n (pow (- (log i) (log n)) 2)) i)) (/ (log i) i)) (/ (log n) i)))))
#s(approx (/ (- (exp (* (- (log i) (log n)) n)) 1) i) #s(hole binary64 (* n (- (+ (* n (+ (* 1/6 (/ (* n (pow (- (log i) (log n)) 3)) i)) (* 1/2 (/ (pow (- (log i) (log n)) 2) i)))) (/ (log i) i)) (/ (log n) i)))))
#s(approx (/ (- (exp (* (- (log i) (log n)) n)) 1) i) #s(hole binary64 (* n (- (+ (* n (+ (* 1/2 (/ (pow (- (log i) (log n)) 2) i)) (* n (+ (* 1/24 (/ (* n (pow (- (log i) (log n)) 4)) i)) (* 1/6 (/ (pow (- (log i) (log n)) 3) i)))))) (/ (log i) i)) (/ (log n) i)))))
#s(approx (- (exp (* (- (log i) (log n)) n)) 1) #s(hole binary64 (* n (- (log i) (log n)))))
#s(approx (- (exp (* (- (log i) (log n)) n)) 1) #s(hole binary64 (* n (- (+ (log i) (* 1/2 (* n (pow (- (log i) (log n)) 2)))) (log n)))))
#s(approx (- (exp (* (- (log i) (log n)) n)) 1) #s(hole binary64 (* n (- (+ (log i) (* n (+ (* 1/6 (* n (pow (- (log i) (log n)) 3))) (* 1/2 (pow (- (log i) (log n)) 2))))) (log n)))))
#s(approx (- (exp (* (- (log i) (log n)) n)) 1) #s(hole binary64 (* n (- (+ (log i) (* n (+ (* 1/2 (pow (- (log i) (log n)) 2)) (* n (+ (* 1/24 (* n (pow (- (log i) (log n)) 4))) (* 1/6 (pow (- (log i) (log n)) 3))))))) (log n)))))
#s(approx (log n) #s(hole binary64 (log n)))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) 100) #s(hole binary64 (* 100 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) 100) #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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) 100) #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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) 100) #s(hole binary64 (* (pow n 2) (+ (* 100 (/ (+ (log i) (* -1 (log n))) i)) (* n (+ (* 100 (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (* n (+ (* 100 (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2))))))))) (* 100 (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3)))))))))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (/ 1 (pow i 2)))) (/ (log i) i))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (/ (log i) (pow i 2)))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (+ (* n (- (+ (* -1 (/ (log n) (pow i 2))) (+ (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)) (+ (* n (+ (* -1/2 (/ (+ (log i) (* -1 (log n))) (pow i 3))) (+ (* 1/24 (/ (pow (+ (log i) (* -1 (log n))) 4) i)) (+ (* 1/3 (/ 1 (pow i 4))) (+ (* 1/2 (/ 1 (pow i 3))) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) (pow i 2)))))))) (/ (log i) (pow i 2))))) (* 1/2 (/ 1 (pow i 3))))) (/ 1 (pow i 2))))) (/ (log i) i))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i)))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* 100 (- (exp i) 1))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (exp i) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (* -1/2 (/ (* (pow i 2) (exp i)) n))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))) 1)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))))
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#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))))))
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#s(approx (exp n) #s(hole binary64 (exp n)))
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#s(approx (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/6 (+ (* -1/4 (/ i n)) (* 1/24 i))) (* 1/2 (/ 1 n))))))
#s(approx (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* n (- (+ 1/6 (+ (* -1/4 (/ i n)) (+ (* 1/24 i) (+ (* 11/24 (/ i (pow n 2))) (/ 1/3 (pow n 2)))))) (* 1/2 (/ 1 n))))))
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#s(approx (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) #s(hole binary64 1/24))
#s(approx (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) #s(hole binary64 (- 1/24 (* 1/4 (/ 1 n)))))
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#s(approx (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) #s(hole binary64 (- (+ 1/24 (/ 11/24 (pow n 2))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))
#s(approx (+ (* 11/24 (pow n -2)) 1/24) #s(hole binary64 1/24))
#s(approx (+ (* 11/24 (pow n -2)) 1/24) #s(hole binary64 (+ 1/24 (* 11/24 (/ 1 (pow n 2))))))
#s(approx (+ (* (pow n -3) 1/4) (/ 1/4 n)) #s(hole binary64 (/ 1/4 n)))
#s(approx (+ (* (pow n -3) 1/4) (/ 1/4 n)) #s(hole binary64 (/ (+ 1/4 (* 1/4 (/ 1 (pow n 2)))) n)))
#s(approx (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* 1/6 n)))
#s(approx (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* n (- 1/6 (* 1/2 (/ 1 n))))))
#s(approx (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* n (- (+ 1/6 (/ 1/3 (pow n 2))) (* 1/2 (/ 1 n))))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 1/6))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (- 1/6 (* 1/2 (/ 1 n)))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (- (+ 1/6 (/ 1/3 (pow n 2))) (* 1/2 (/ 1 n)))))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(hole binary64 1/6))
#s(approx (+ (* (pow n -2) 1/3) 1/6) #s(hole binary64 (+ 1/6 (* 1/3 (/ 1 (pow n 2))))))
#s(approx (* (* (- 1/2 (/ 1/2 n)) n) 100) #s(hole binary64 (* 50 n)))
#s(approx (* (* (- 1/2 (/ 1/2 n)) n) 100) #s(hole binary64 (* n (- 50 (* 50 (/ 1 n))))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* 1/2 n)))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* n (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (- 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 (/ (- (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 (* (- (log i) (log n)) n) #s(hole binary64 (* n (- (log i) (* -1 (log (/ 1 n)))))))
#s(approx (- (log i) (log n)) #s(hole binary64 (- (log i) (* -1 (log (/ 1 n))))))
#s(approx (log n) #s(hole binary64 (* -1 (log (/ 1 n)))))
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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)) (* -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 (* 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 (neg (/ (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) i)) #s(hole binary64 (* 100 (/ (* (pow n 3) (exp (* n (+ (log (/ -1 n)) (* -1 (log (/ -1 i))))))) (pow i 2)))))
#s(approx (neg (/ (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) i)) #s(hole binary64 (* -1 (* (pow n 3) (- (* -100 (/ (- (exp (* n (+ (log (/ -1 n)) (* -1 (log (/ -1 i)))))) 1) (* i (pow n 2)))) (* 100 (/ (exp (* n (+ (log (/ -1 n)) (* -1 (log (/ -1 i)))))) (pow i 2))))))))
#s(approx (/ (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) i) #s(hole binary64 (* -100 (/ (* (pow n 3) (exp (* n (+ (log (/ -1 n)) (* -1 (log (/ -1 i))))))) (pow i 2)))))
#s(approx (/ (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) i) #s(hole binary64 (* -1 (* (pow n 3) (+ (* 100 (/ (exp (* n (+ (log (/ -1 n)) (* -1 (log (/ -1 i)))))) (pow i 2))) (* 100 (/ (- (exp (* n (+ (log (/ -1 n)) (* -1 (log (/ -1 i)))))) 1) (* i (pow n 2)))))))))
#s(approx (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) #s(hole binary64 (* -100 (/ (* (pow n 3) (exp (* n (+ (log (/ -1 n)) (* -1 (log (/ -1 i))))))) i))))
#s(approx (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) #s(hole binary64 (* -1 (* (pow n 3) (+ (* 100 (/ (exp (* n (+ (log (/ -1 n)) (* -1 (log (/ -1 i)))))) i)) (* 100 (/ (- (exp (* n (+ (log (/ -1 n)) (* -1 (log (/ -1 i)))))) 1) (pow n 2))))))))
#s(approx (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i))) #s(hole binary64 (/ (* (pow n 3) (exp (* n (+ (log (/ -1 n)) (* -1 (log (/ -1 i))))))) i)))
#s(approx (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i))) #s(hole binary64 (* -1 (* (pow n 3) (+ (* -1 (/ (exp (* n (+ (log (/ -1 n)) (* -1 (log (/ -1 i)))))) i)) (* -1 (/ (- (exp (* n (+ (log (/ -1 n)) (* -1 (log (/ -1 i)))))) 1) (pow n 2))))))))
#s(approx (log (/ -1 n)) #s(hole binary64 (log (/ -1 n))))
#s(approx (+ (* (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) i) (* n 100)) #s(hole binary64 (* -1 (* n (- (* i (- (* 100 (* i (- (* -1/24 i) 1/6))) 50)) 100)))))
#s(approx (+ (* (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) i) (* n 100)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (* i (- (* 100 (* i (- (* -1/4 i) 1/2))) 50)) n)) (* i (- (* 100 (* i (- (* -1/24 i) 1/6))) 50))) 100)))))
#s(approx (+ (* (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) i) (* n 100)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* -100 (/ (* (pow i 2) (- (* -11/24 i) 1/3)) n)) (* i (- (* 100 (* i (- (* -1/4 i) 1/2))) 50))) n)) (* i (- (* 100 (* i (- (* -1/24 i) 1/6))) 50))) 100)))))
#s(approx (+ (* (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) i) (* n 100)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (+ (* -1 (/ (+ (* 25 (/ (pow i 3) n)) (* 100 (* (pow i 2) (- (* -11/24 i) 1/3)))) n)) (* i (- (* 100 (* i (- (* -1/4 i) 1/2))) 50))) n)) (* i (- (* 100 (* i (- (* -1/24 i) 1/6))) 50))) 100)))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) #s(hole binary64 (* -1 (* n (- (* 100 (* i (- (* -1/24 i) 1/6))) 50)))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (* 100 (* i (- (* -1/4 i) 1/2))) 50) n)) (* 100 (* i (- (* -1/24 i) 1/6)))) 50)))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -100 (/ (* i (- (* -11/24 i) 1/3)) n)) (* 100 (* i (- (* -1/4 i) 1/2)))) 50) n)) (* 100 (* i (- (* -1/24 i) 1/6)))) 50)))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1 (/ (+ (* 25 (/ (pow i 2) n)) (* 100 (* i (- (* -11/24 i) 1/3)))) n)) (* 100 (* i (- (* -1/4 i) 1/2)))) 50) n)) (* 100 (* i (- (* -1/24 i) 1/6)))) 50)))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) #s(hole binary64 (* -100 (* n (- (* -1/24 i) 1/6)))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (* -1/4 i) 1/2) n)) (* 100 (- (* -1/24 i) 1/6)))))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -100 (/ (- (* -11/24 i) 1/3) n)) (* 100 (- (* -1/4 i) 1/2))) n)) (* 100 (- (* -1/24 i) 1/6)))))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) #s(hole binary64 (* -1 (* n (+ (* -1 (/ (+ (* -1 (/ (+ (* 25 (/ i n)) (* 100 (- (* -11/24 i) 1/3))) n)) (* 100 (- (* -1/4 i) 1/2))) n)) (* 100 (- (* -1/24 i) 1/6)))))))
#s(approx (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (* -1/24 i) 1/6)))))
#s(approx (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (* -1/4 i) 1/2) n)) (* -1/24 i)) 1/6)))))
#s(approx (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -11/24 i) 1/3) n)) (* -1/4 i)) 1/2) n)) (* -1/24 i)) 1/6)))))
#s(approx (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n)) #s(hole binary64 (* -1 (* n (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -11/24 i) (* 1/4 (/ i n))) 1/3) n)) (* -1/4 i)) 1/2) n)) (* -1/24 i)) 1/6)))))
#s(approx (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) #s(hole binary64 (+ 1/24 (* -1 (/ (- 1/4 (* 11/24 (/ 1 n))) n)))))
#s(approx (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) #s(hole binary64 (+ 1/24 (* -1 (/ (+ 1/4 (* -1 (/ (- 11/24 (* 1/4 (/ 1 n))) n))) n)))))
#s(approx (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* -1 (* n (- (* 1/2 (/ 1 n)) 1/6)))))
#s(approx (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) #s(hole binary64 (* -1 (* n (- (* -1 (/ (- (* 1/3 (/ 1 n)) 1/2) n)) 1/6)))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) #s(hole binary64 (+ 1/6 (* -1 (/ (- 1/2 (* 1/3 (/ 1 n))) n)))))
#s(approx (* (* (- 1/2 (/ 1/2 n)) n) 100) #s(hole binary64 (* -1 (* n (- (* 50 (/ 1 n)) 50)))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) #s(hole binary64 (* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))))
#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 (* (- (log i) (log n)) n) #s(hole binary64 (* n (- (log i) (+ (log -1) (* -1 (log (/ -1 n))))))))
#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 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) 100) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) 100) #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)))))))
Outputs
(/.f64 (neg.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))) (neg.f64 (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)))
#s(literal 100 binary64)
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)))
(/.f64 (neg.f64 i) (neg.f64 n))
(/.f64 i n)
i
n
#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)))
(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))
(/.f64 (neg.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))))) (neg.f64 i))
(/.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)
(*.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))))
#s(literal -100 binary64)
(/.f64 (-.f64 (*.f64 (*.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 (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 (*.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)) (*.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)))) (-.f64 (*.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))))
(/.f64 (+.f64 (pow.f64 (*.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) #s(literal 3 binary64)) (pow.f64 (*.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)) #s(literal 3 binary64))) (fma.f64 (*.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 (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 (*.f64 (*.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)) (*.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))) (*.f64 (*.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))))))
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#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 (*.f64 n (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64)))))))
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#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64))))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 n (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64)))) (/.f64 (*.f64 n n) i)))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 n n) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 n #s(literal 3 binary64)) i))) i) (*.f64 n (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64)))))))
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#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64)))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 n i))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) n (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 n n) i))) i)))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) n (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n n) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 n #s(literal 3 binary64)) i))) i))) i)))))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64))))))) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))))) (/.f64 (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64))))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64))))))) i)) i) (*.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64))))))) i))) i)))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64)))) (*.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i)))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))) (*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64)))))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (fma.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (*.f64 n (fma.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 i i)))))))) (*.f64 #s(literal 100 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 n (fma.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (pow.f64 i #s(literal -1 binary64)))) (*.f64 #s(literal 100 binary64) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 n (fma.f64 #s(literal 100 binary64) (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) (/.f64 (log.f64 i) i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) (*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (pow.f64 i #s(literal -1 binary64)))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 n (fma.f64 #s(literal 100 binary64) (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 n (fma.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (pow.f64 i #s(literal -1 binary64))) (*.f64 n (fma.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 i i)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -3 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i))))))) (*.f64 #s(literal 100 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) (/.f64 (log.f64 i) i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (pow.f64 i #s(literal -1 binary64))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (fma.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) (/.f64 (log.f64 i) i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 i #s(literal -1 binary64)))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (fma.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 i i)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -3 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i)))))) (/.f64 (log.f64 i) i)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 i #s(literal -1 binary64)))))))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (/.f64 n i)))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 n (*.f64 i i)) (pow.f64 i #s(literal -1 binary64))))))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (log.f64 i) (+.f64 (neg.f64 (log.f64 n)) (*.f64 n (fma.f64 n (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 n (pow.f64 i #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 i #s(literal -1 binary64))))))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (/.f64 n i))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 n (*.f64 i i)) (pow.f64 i #s(literal -1 binary64)))))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 i) (+.f64 (neg.f64 (log.f64 n)) (*.f64 n (fma.f64 n (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 n (pow.f64 i #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 i #s(literal -1 binary64)))))))
#s(approx n n)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64)))) (*.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (fma.f64 #s(literal 100 binary64) (*.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))) (*.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (fma.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (*.f64 n (fma.f64 #s(literal 100 binary64) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 i i)))))))) (*.f64 #s(literal 100 binary64) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))))))))))
#s(approx (neg (/ (* -100 (+ (* (- (exp (* (+ (* (log (/ -1 i)) -1) (log (/ -1 n))) n)) 1) n) (* (pow n 3) (/ (pow (exp n) (+ (* (log (/ -1 i)) -1) (log (/ -1 n)))) i)))) i)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n n) (+.f64 (log.f64 #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (log.f64 n) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) i) #s(literal -1 binary64)))))) i)))
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#s(approx (+ (* (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) i) (* n 100)) (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (*.f64 i (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64)))) #s(literal 50 binary64))) #s(literal 100 binary64)))))
#s(approx (+ (* (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) i) (* n 100)) (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 (*.f64 #s(literal -1/4 binary64) i) #s(literal 1/2 binary64)))) #s(literal 50 binary64))) n) (*.f64 i (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64)))) #s(literal 50 binary64)))) #s(literal 100 binary64)))))
#s(approx (+ (* (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) i) (* n 100)) (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (*.f64 i i) (-.f64 (*.f64 #s(literal -11/24 binary64) i) #s(literal 1/3 binary64))) n) (*.f64 i (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 (*.f64 #s(literal -1/4 binary64) i) #s(literal 1/2 binary64)))) #s(literal 50 binary64)))) n) (*.f64 i (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64)))) #s(literal 50 binary64)))) #s(literal 100 binary64)))))
#s(approx (+ (* (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) i) (* n 100)) (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 25 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) n) (*.f64 #s(literal 100 binary64) (*.f64 (*.f64 i i) (-.f64 (*.f64 #s(literal -11/24 binary64) i) #s(literal 1/3 binary64))))) n) (*.f64 i (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 (*.f64 #s(literal -1/4 binary64) i) #s(literal 1/2 binary64)))) #s(literal 50 binary64)))) n) (*.f64 i (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64)))) #s(literal 50 binary64)))) #s(literal 100 binary64)))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64)))) #s(literal 50 binary64)))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 (*.f64 #s(literal -1/4 binary64) i) #s(literal 1/2 binary64)))) #s(literal 50 binary64)) n) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64))))) #s(literal 50 binary64)))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 i (-.f64 (*.f64 #s(literal -11/24 binary64) i) #s(literal 1/3 binary64))) n) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 (*.f64 #s(literal -1/4 binary64) i) #s(literal 1/2 binary64))))) #s(literal 50 binary64)) n) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64))))) #s(literal 50 binary64)))))
#s(approx (+ (* (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) i) (* (* (- 1/2 (/ 1/2 n)) n) 100)) (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 25 binary64) (/.f64 (*.f64 i i) n) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 (*.f64 #s(literal -11/24 binary64) i) #s(literal 1/3 binary64))))) n) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 (*.f64 #s(literal -1/4 binary64) i) #s(literal 1/2 binary64))))) #s(literal 50 binary64)) n) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64))))) #s(literal 50 binary64)))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) (*.f64 #s(literal -100 binary64) (*.f64 n (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64)))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) (*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) i) #s(literal 1/2 binary64)) n) (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64)))))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) (*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (-.f64 (*.f64 #s(literal -11/24 binary64) i) #s(literal 1/3 binary64)) n) (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 #s(literal -1/4 binary64) i) #s(literal 1/2 binary64)))) n) (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64)))))))
#s(approx (* 100 (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n))) (*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 25 binary64) (/.f64 i n) (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 #s(literal -11/24 binary64) i) #s(literal 1/3 binary64)))) n) (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 #s(literal -1/4 binary64) i) #s(literal 1/2 binary64)))) n) (*.f64 #s(literal 100 binary64) (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64)))))))
#s(approx (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n)) (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (*.f64 #s(literal -1/24 binary64) i) #s(literal 1/6 binary64)))))
#s(approx (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n)) (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/4 binary64) i) #s(literal 1/2 binary64)) n) (*.f64 #s(literal -1/24 binary64) i)) #s(literal 1/6 binary64)))))
#s(approx (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n)) (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -11/24 binary64) i) #s(literal 1/3 binary64)) n) (*.f64 #s(literal -1/4 binary64) i)) #s(literal 1/2 binary64)) n) (*.f64 #s(literal -1/24 binary64) i)) #s(literal 1/6 binary64)))))
#s(approx (+ (* (* n i) (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n)))) (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n)) (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -11/24 binary64) i (*.f64 #s(literal 1/4 binary64) (/.f64 i n))) #s(literal 1/3 binary64)) n) (*.f64 #s(literal -1/4 binary64) i)) #s(literal 1/2 binary64)) n) (*.f64 #s(literal -1/24 binary64) i)) #s(literal 1/6 binary64)))))
#s(approx (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 11/24 binary64) (pow.f64 n #s(literal -1 binary64)))) n))))
#s(approx (- (+ (* 11/24 (pow n -2)) 1/24) (+ (* (pow n -3) 1/4) (/ 1/4 n))) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 11/24 binary64) (*.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal -1 binary64)))) n))) n))))
#s(approx (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/6 binary64)))))
#s(approx (* (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) n) (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64)) n)) #s(literal 1/6 binary64)))))
#s(approx (- (+ (* (pow n -2) 1/3) 1/6) (/ 1/2 n)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -1 binary64)))) n))))
#s(approx (* (* (- 1/2 (/ 1/2 n)) n) 100) (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 50 binary64) (pow.f64 n #s(literal -1 binary64))) #s(literal 50 binary64)))))
#s(approx (* (- 1/2 (/ 1/2 n)) n) (*.f64 #s(literal -1 binary64) (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64)))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) (*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) (*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n))) n) (*.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 i) i))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) (*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n))) n) (*.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)))) n) (*.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 i) i))))))
#s(approx (* (- (log i) (log n)) n) (*.f64 n (-.f64 (log.f64 i) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)))))))
#s(approx (- (log i) (log n)) (-.f64 (log.f64 i) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64))))))
#s(approx (log n) (+.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) 100) (*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) 100) (*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n)))) n))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) 100) (*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n)))) n))) n))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) (*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) (*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n))) n) (*.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 i) i))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) (/ i n)) (*.f64 #s(literal -1 binary64) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n))) n) (*.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)))) n) (*.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 i) i))))))

eval106.0ms (1.2%)

Memory
-16.1MiB live, 218.4MiB allocated; 16ms collecting garbage
Compiler

Compiled 50 369 to 4 395 computations (91.3% saved)

prune1.1s (12.6%)

Memory
27.1MiB live, 2 140.5MiB allocated; 33ms collecting garbage
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New7775782
Fresh213
Picked235
Done011
Total78110791
Accuracy
100.0%
Counts
791 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
29.6%
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) (/.f64 i n))
78.2%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
25.0%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 n i)))) n))) (/.f64 i n))
29.6%
(*.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)))
77.1%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
10.2%
(*.f64 #s(literal 100 binary64) #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))))
27.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i))))
53.2%
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))))
71.0%
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
17.6%
#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 449 to 295 computations (34.3% saved)

series247.0ms (2.8%)

Memory
-12.4MiB live, 511.1MiB allocated; 19ms collecting garbage
Counts
50 → 380
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
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
(*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))))
(fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
#s(literal -50 binary64)
(/.f64 (*.f64 i (exp.f64 i)) n)
(*.f64 i (exp.f64 i))
(exp.f64 i)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))))
(fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))))
(*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))
(*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))
(*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))
(pow.f64 n #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i)))
#s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i))
(/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i)
(*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n)))))
(expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))
(*.f64 n (log.f64 (/.f64 i n)))
(log.f64 (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 n i)))) n))) (/.f64 i n))
(*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 n i)))) n)))
(expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 n i)))) n))
(*.f64 #s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 n i)))) n)
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 n i))))
(+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 n i)))
(log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64))))
(neg.f64 (pow.f64 n #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 n i))
(log.f64 (/.f64 #s(literal -1 binary64) i))
(/.f64 #s(literal -1 binary64) i)
(/.f64 n i)
Outputs
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (* (/ (- (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 (- (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 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) #s(hole binary64 (* 100 n)))
#s(approx (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) #s(hole binary64 (+ (* 100 n) (* i (* n (- 50 (* 50 (/ 1 n))))))))
#s(approx (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) #s(hole binary64 (+ (* 100 n) (* i (+ (* i (* n (- 50/3 (* 50 (/ 1 n))))) (* n (- 50 (* 50 (/ 1 n)))))))))
#s(approx (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) #s(hole binary64 (+ (* 100 n) (* i (+ (* i (+ (* i (* n (- 25/6 (* 25 (/ 1 n))))) (* n (- 50/3 (* 50 (/ 1 n)))))) (* n (- 50 (* 50 (/ 1 n)))))))))
#s(approx (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))) #s(hole binary64 100))
#s(approx (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))) #s(hole binary64 (+ 100 (* i (- 50 (* 50 (/ 1 n)))))))
#s(approx (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))) #s(hole binary64 (+ 100 (* i (- (+ 50 (* i (- 50/3 (* 50 (/ 1 n))))) (* 50 (/ 1 n)))))))
#s(approx (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))) #s(hole binary64 (+ 100 (* i (- (+ 50 (* i (- (+ 50/3 (* i (- 25/6 (* 25 (/ 1 n))))) (* 50 (/ 1 n))))) (* 50 (/ 1 n)))))))
#s(approx (/ (* i (exp i)) n) #s(hole binary64 (/ i n)))
#s(approx (/ (* i (exp i)) n) #s(hole binary64 (* i (+ (/ 1 n) (/ i n)))))
#s(approx (/ (* i (exp i)) n) #s(hole binary64 (* i (+ (* i (+ (* 1/2 (/ i n)) (/ 1 n))) (/ 1 n)))))
#s(approx (/ (* i (exp i)) n) #s(hole binary64 (* i (+ (* i (+ (* i (+ (* 1/6 (/ i n)) (* 1/2 (/ 1 n)))) (/ 1 n))) (/ 1 n)))))
#s(approx (* i (exp i)) #s(hole binary64 i))
#s(approx (* i (exp i)) #s(hole binary64 (* i (+ 1 i))))
#s(approx (* i (exp i)) #s(hole binary64 (* i (+ 1 (* i (+ 1 (* 1/2 i)))))))
#s(approx (* i (exp i)) #s(hole binary64 (* i (+ 1 (* i (+ 1 (* i (+ 1/2 (* 1/6 i)))))))))
#s(approx (exp i) #s(hole binary64 1))
#s(approx (exp i) #s(hole binary64 (+ 1 i)))
#s(approx (exp i) #s(hole binary64 (+ 1 (* i (+ 1 (* 1/2 i))))))
#s(approx (exp i) #s(hole binary64 (+ 1 (* i (+ 1 (* i (+ 1/2 (* 1/6 i))))))))
#s(approx (* 100 (/ (- (exp i) 1) i)) #s(hole binary64 100))
#s(approx (* 100 (/ (- (exp i) 1) i)) #s(hole binary64 (+ 100 (* 50 i))))
#s(approx (* 100 (/ (- (exp i) 1) i)) #s(hole binary64 (+ 100 (* i (+ 50 (* 50/3 i))))))
#s(approx (* 100 (/ (- (exp i) 1) i)) #s(hole binary64 (+ 100 (* i (+ 50 (* i (+ 50/3 (* 25/6 i))))))))
#s(approx (/ (- (exp i) 1) i) #s(hole binary64 1))
#s(approx (/ (- (exp i) 1) i) #s(hole binary64 (+ 1 (* 1/2 i))))
#s(approx (/ (- (exp i) 1) i) #s(hole binary64 (+ 1 (* i (+ 1/2 (* 1/6 i))))))
#s(approx (/ (- (exp i) 1) i) #s(hole binary64 (+ 1 (* i (+ 1/2 (* i (+ 1/6 (* 1/24 i))))))))
#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 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1))))))) #s(hole binary64 (* 100 n)))
#s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1))))))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1)))))) #s(hole binary64 (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (* i (* n (- 1/2 (* 1/2 (pow n -1))))) #s(hole binary64 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 n)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (+ (* 100 n) (* i (+ (* 100 (* n (- 1/2 (* 1/2 (/ 1 n))))) (* i (+ (* 100 (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))))) (* 100 (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 n))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (* n (- 1/2 (* 1/2 (/ 1 n))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (+ n (* i (+ (* i (+ (* i (* n (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* n (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n)))))) (* n (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) #s(hole binary64 (/ (* n (- (exp (* n (- (log i) (log n)))) 1)) i)))
#s(approx (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) #s(hole binary64 (/ (* n (- (exp (* n (+ (log i) (log (/ 1 n))))) 1)) i)))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) #s(hole binary64 (* n (- (exp (* n (+ (log i) (log (/ 1 n))))) 1))))
#s(approx (- (exp (* n (log (/ i n)))) 1) #s(hole binary64 (- (exp (* n (+ (log i) (log (/ 1 n))))) 1)))
#s(approx (* n (log (/ i 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 (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* 100 i)))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* i (+ 100 (* 100 (* i (- 1/2 (* 1/2 (/ 1 n)))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (* i (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))) (* 100 (- 1/2 (* 1/2 (/ 1 n))))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* i (+ 100 (* i (+ (* 100 (- 1/2 (* 1/2 (/ 1 n)))) (* i (+ (* 100 (* i (- (+ 1/24 (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3))))))) (* 100 (- (+ 1/6 (* 1/3 (/ 1 (pow n 2)))) (* 1/2 (/ 1 n))))))))))))
#s(approx (+ (log (neg (pow n -1))) (+ (* -1 (log (/ -1 i))) (/ n i))) #s(hole binary64 (/ n i)))
#s(approx (+ (log (neg (pow n -1))) (+ (* -1 (log (/ -1 i))) (/ n i))) #s(hole binary64 (/ (+ n (* i (+ (log (neg (/ 1 n))) (* -1 (+ (log -1) (* -1 (log i))))))) i)))
#s(approx (+ (* -1 (log (/ -1 i))) (/ n i)) #s(hole binary64 (/ n i)))
#s(approx (+ (* -1 (log (/ -1 i))) (/ n i)) #s(hole binary64 (/ (+ n (* -1 (* i (+ (log -1) (* -1 (log i)))))) i)))
#s(approx (log (/ -1 i)) #s(hole binary64 (+ (log -1) (* -1 (log i)))))
#s(approx (/ -1 i) #s(hole binary64 (/ -1 i)))
#s(approx (/ n i) #s(hole binary64 (/ 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))))
#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)))
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#s(approx (* n (log (/ i n))) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
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#s(approx (+ (log (neg (pow n -1))) (+ (* -1 (log (/ -1 i))) (/ n i))) #s(hole binary64 (+ (log -1) (+ (* -1 (log n)) (+ (* -1 (log (/ -1 i))) (/ n i))))))
#s(approx (log (neg (pow n -1))) #s(hole binary64 (+ (log -1) (* -1 (log n)))))
#s(approx (neg (pow n -1)) #s(hole binary64 (/ -1 n)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
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#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)))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) #s(hole binary64 (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i))))
#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)))
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#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) #s(hole binary64 (- (+ (exp i) (+ (* -1/2 (/ (* (pow i 2) (exp i)) n)) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3)) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))) 1)))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (* -1/2 (/ (pow i 2) n)))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2)))))))
#s(approx (* (log (+ 1 (/ i n))) n) #s(hole binary64 (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2))))))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (* -1/2 (/ (pow i 2) n))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (* 1/3 (/ (pow i 3) (pow n 2))))) n)))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (/ (+ i (+ (* -1/2 (/ (pow i 2) n)) (+ (* -1/4 (/ (pow i 4) (pow n 3))) (* 1/3 (/ (pow i 3) (pow n 2)))))) n)))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))))))
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#s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1))))))) #s(hole binary64 (* n (+ 100 (* 50 i)))))
#s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1))))))) #s(hole binary64 (* n (+ 100 (+ (* -50 (/ i n)) (* 50 i))))))
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#s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1)))))) #s(hole binary64 (* n (+ (* -50 (/ i n)) (* 50 i)))))
#s(approx (* i (* n (- 1/2 (* 1/2 (pow n -1))))) #s(hole binary64 (* 1/2 (* i n))))
#s(approx (* i (* n (- 1/2 (* 1/2 (pow n -1))))) #s(hole binary64 (* n (+ (* -1/2 (/ i n)) (* 1/2 i)))))
#s(approx (* n (- 1/2 (* 1/2 (pow n -1)))) #s(hole binary64 (* 1/2 n)))
#s(approx (* n (- 1/2 (* 1/2 (pow n -1)))) #s(hole binary64 (* n (- 1/2 (* 1/2 (/ 1 n))))))
#s(approx (- 1/2 (* 1/2 (pow n -1))) #s(hole binary64 1/2))
#s(approx (- 1/2 (* 1/2 (pow n -1))) #s(hole binary64 (- 1/2 (* 1/2 (/ 1 n)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* n (+ (* -50 (/ (* i (exp i)) n)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3)))) (+ (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))) (* 100 (/ (- (exp i) 1) i))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (/ (* n (- (exp i) 1)) i)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (/ (exp i) i)) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2))))) (/ 1 i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(hole binary64 (* n (- (+ (* -1/2 (/ (* i (exp i)) n)) (+ (/ (exp i) i) (+ (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (* i (pow n 3))) (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i (pow n 2)))))) (/ 1 i)))))
#s(approx (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) #s(hole binary64 (/ (* n (- (pow (/ i n) n) 1)) i)))
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#s(approx (- (exp (* n (log (/ i n)))) 1) #s(hole binary64 (- (pow (/ i n) n) 1)))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* 100 (- (exp i) 1))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))))
#s(approx (+ (log (neg (pow n -1))) (+ (* -1 (log (/ -1 i))) (/ n i))) #s(hole binary64 (* n (+ (* -1 (/ (log (/ -1 i)) n)) (+ (/ 1 i) (+ (/ (log -1) n) (/ (log (/ 1 n)) n)))))))
#s(approx (log (neg (pow n -1))) #s(hole binary64 (+ (log -1) (log (/ 1 n)))))
#s(approx (+ (* -1 (log (/ -1 i))) (/ n i)) #s(hole binary64 (* n (+ (* -1 (/ (log (/ -1 i)) n)) (/ 1 i)))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (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)))
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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 (/ (- (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 (log (/ i n))) #s(hole binary64 (* n (+ (log (* -1 i)) (log (/ -1 n))))))
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#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (+ (log (neg (pow n -1))) (+ (* -1 (log (/ -1 i))) (/ n i))) #s(hole binary64 (* -1 (* n (- (* -1 (/ (+ (log (/ -1 n)) (* -1 (log (/ -1 i)))) n)) (/ 1 i))))))
#s(approx (log (neg (pow n -1))) #s(hole binary64 (log (/ -1 n))))
#s(approx (+ (* -1 (log (/ -1 i))) (/ n i)) #s(hole binary64 (* -1 (* n (- (/ (log (/ -1 i)) n) (/ 1 i))))))
Calls

6 calls:

TimeVariablePointExpression
53.0ms
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 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))) -50 (/ (* i (exp i)) n) (* i (exp i)) (exp i) (* 100 (/ (- (exp i) 1) i)) (/ (- (exp i) 1) i) (- (exp i) 1) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1))))))) (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1)))))) (* i (* n (- 1/2 (* 1/2 (pow n -1))))) (* n (- 1/2 (* 1/2 (pow n -1)))) (- 1/2 (* 1/2 (pow n -1))) 1/2 (* 1/2 (pow n -1)) (pow n -1) -1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) (* n (- (exp (* n (log (/ i n)))) 1)) (- (exp (* n (log (/ i n)))) 1) (* n (log (/ i n))) (log (/ i n)) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (+ (log (neg (pow n -1))) (+ (* -1 (log (/ -1 i))) (/ n i))) (log (neg (pow n -1))) (neg (pow n -1)) (+ (* -1 (log (/ -1 i))) (/ n i)) (log (/ -1 i)) (/ -1 i) (/ n i))
49.0ms
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 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))) -50 (/ (* i (exp i)) n) (* i (exp i)) (exp i) (* 100 (/ (- (exp i) 1) i)) (/ (- (exp i) 1) i) (- (exp i) 1) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1))))))) (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1)))))) (* i (* n (- 1/2 (* 1/2 (pow n -1))))) (* n (- 1/2 (* 1/2 (pow n -1)))) (- 1/2 (* 1/2 (pow n -1))) 1/2 (* 1/2 (pow n -1)) (pow n -1) -1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) (* n (- (exp (* n (log (/ i n)))) 1)) (- (exp (* n (log (/ i n)))) 1) (* n (log (/ i n))) (log (/ i n)) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (+ (log (neg (pow n -1))) (+ (* -1 (log (/ -1 i))) (/ n i))) (log (neg (pow n -1))) (neg (pow n -1)) (+ (* -1 (log (/ -1 i))) (/ n i)) (log (/ -1 i)) (/ -1 i) (/ n i))
45.0ms
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 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))) -50 (/ (* i (exp i)) n) (* i (exp i)) (exp i) (* 100 (/ (- (exp i) 1) i)) (/ (- (exp i) 1) i) (- (exp i) 1) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1))))))) (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1)))))) (* i (* n (- 1/2 (* 1/2 (pow n -1))))) (* n (- 1/2 (* 1/2 (pow n -1)))) (- 1/2 (* 1/2 (pow n -1))) 1/2 (* 1/2 (pow n -1)) (pow n -1) -1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) (* n (- (exp (* n (log (/ i n)))) 1)) (- (exp (* n (log (/ i n)))) 1) (* n (log (/ i n))) (log (/ i n)) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (+ (log (neg (pow n -1))) (+ (* -1 (log (/ -1 i))) (/ n i))) (log (neg (pow n -1))) (neg (pow n -1)) (+ (* -1 (log (/ -1 i))) (/ n i)) (log (/ -1 i)) (/ -1 i) (/ n i))
38.0ms
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 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))) -50 (/ (* i (exp i)) n) (* i (exp i)) (exp i) (* 100 (/ (- (exp i) 1) i)) (/ (- (exp i) 1) i) (- (exp i) 1) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1))))))) (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1)))))) (* i (* n (- 1/2 (* 1/2 (pow n -1))))) (* n (- 1/2 (* 1/2 (pow n -1)))) (- 1/2 (* 1/2 (pow n -1))) 1/2 (* 1/2 (pow n -1)) (pow n -1) -1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) (* n (- (exp (* n (log (/ i n)))) 1)) (- (exp (* n (log (/ i n)))) 1) (* n (log (/ i n))) (log (/ i n)) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (+ (log (neg (pow n -1))) (+ (* -1 (log (/ -1 i))) (/ n i))) (log (neg (pow n -1))) (neg (pow n -1)) (+ (* -1 (log (/ -1 i))) (/ n i)) (log (/ -1 i)) (/ -1 i) (/ n i))
26.0ms
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 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))) -50 (/ (* i (exp i)) n) (* i (exp i)) (exp i) (* 100 (/ (- (exp i) 1) i)) (/ (- (exp i) 1) i) (- (exp i) 1) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1))))))) (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1)))))) (* i (* n (- 1/2 (* 1/2 (pow n -1))))) (* n (- 1/2 (* 1/2 (pow n -1)))) (- 1/2 (* 1/2 (pow n -1))) 1/2 (* 1/2 (pow n -1)) (pow n -1) -1 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) (* n (- (exp (* n (log (/ i n)))) 1)) (- (exp (* n (log (/ i n)))) 1) (* n (log (/ i n))) (log (/ i n)) (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (- (exp (* (log (+ 1 (/ i n))) n)) 1) (* (log (+ 1 (/ i n))) n) (log (+ 1 (/ i n))) (+ (log (neg (pow n -1))) (+ (* -1 (log (/ -1 i))) (/ n i))) (log (neg (pow n -1))) (neg (pow n -1)) (+ (* -1 (log (/ -1 i))) (/ n i)) (log (/ -1 i)) (/ -1 i) (/ n i))

rewrite223.0ms (2.5%)

Memory
19.3MiB live, 306.3MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158416697
0165615405
0818114821
Stop Event
iter limit
node limit
iter limit
Counts
430 → 487
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
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
(*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))))
(fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
#s(literal -50 binary64)
(/.f64 (*.f64 i (exp.f64 i)) n)
(*.f64 i (exp.f64 i))
(exp.f64 i)
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(/.f64 (expm1.f64 i) i)
(expm1.f64 i)
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))))
(fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))))
(*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))
(*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))
(*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))
(pow.f64 n #s(literal -1 binary64))
#s(literal -1 binary64)
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(*.f64 n (log.f64 (/.f64 i n)))
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(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 n i)))) n))) (/.f64 i n))
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#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 n i))))
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#s(approx (/ i n) #s(hole binary64 (/ i n)))
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#s(approx (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) #s(hole binary64 (+ (* 100 n) (* i (+ (* i (* n (- 50/3 (* 50 (/ 1 n))))) (* n (- 50 (* 50 (/ 1 n)))))))))
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#s(approx (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))) #s(hole binary64 100))
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#s(approx (- (exp (* n (log (/ i n)))) 1) #s(hole binary64 (- (pow (/ i n) n) 1)))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (* 100 (- (exp i) 1))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2)))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -50 (/ (* (pow i 2) (exp i)) n)) (+ (* 100 (- (exp i) 1)) (+ (* 100 (/ (* (exp i) (+ (* -1/4 (pow i 4)) (+ (* -1/6 (pow i 5)) (* -1/48 (pow i 6))))) (pow n 3))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (pow n 2))))))))
#s(approx (+ (log (neg (pow n -1))) (+ (* -1 (log (/ -1 i))) (/ n i))) #s(hole binary64 (* n (+ (* -1 (/ (log (/ -1 i)) n)) (+ (/ 1 i) (+ (/ (log -1) n) (/ (log (/ 1 n)) n)))))))
#s(approx (log (neg (pow n -1))) #s(hole binary64 (+ (log -1) (log (/ 1 n)))))
#s(approx (+ (* -1 (log (/ -1 i))) (/ n i)) #s(hole binary64 (* n (+ (* -1 (/ (log (/ -1 i)) n)) (/ 1 i)))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* (/ (- (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 (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* 1/2 (/ (pow i 2) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1/2 (pow i 2)) (* 1/3 (/ (pow i 3) n))) n))) n))))
#s(approx (log (+ 1 (/ i n))) #s(hole binary64 (* -1 (/ (+ (* -1 i) (* -1 (/ (+ (* -1 (/ (+ (* -1/3 (pow i 3)) (* 1/4 (/ (pow i 4) n))) n)) (* -1/2 (pow i 2))) n))) n))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* 100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) (* i n)))) n)))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* -1 (/ (+ (* -50 (* i (exp i))) (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) i)) (* 100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) (* i n)))) n))) n)))))))
#s(approx (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) #s(hole binary64 (* -1 (* n (+ (* -100 (/ (- (exp i) 1) i)) (* 50 (/ (* i (exp i)) n)))))))
#s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1))))))) #s(hole binary64 (* -1 (* n (- (* -50 i) 100)))))
#s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1))))))) #s(hole binary64 (* -1 (* n (- (+ (* -50 i) (* 50 (/ i n))) 100)))))
#s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1)))))) #s(hole binary64 (* -1 (* n (+ (* -50 i) (* 50 (/ i n)))))))
#s(approx (* i (* n (- 1/2 (* 1/2 (pow n -1))))) #s(hole binary64 (* -1 (* n (+ (* -1/2 i) (* 1/2 (/ i n)))))))
#s(approx (* n (- 1/2 (* 1/2 (pow n -1)))) #s(hole binary64 (* -1 (* n (- (* 1/2 (/ 1 n)) 1/2)))))
#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 (* n (log (/ i 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 (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) #s(hole binary64 (+ (* -1 (/ (+ (* -1 (/ (+ (* -100 (/ (* (exp i) (+ (* 1/48 (pow i 6)) (+ (* 1/6 (pow i 5)) (* 1/4 (pow i 4))))) n)) (* 100 (* (exp i) (+ (* 1/8 (pow i 4)) (* 1/3 (pow i 3)))))) n)) (* 50 (* (pow i 2) (exp i)))) n)) (* 100 (- (exp i) 1)))))
#s(approx (+ (log (neg (pow n -1))) (+ (* -1 (log (/ -1 i))) (/ n i))) #s(hole binary64 (* -1 (* n (- (* -1 (/ (+ (log (/ -1 n)) (* -1 (log (/ -1 i)))) n)) (/ 1 i))))))
#s(approx (log (neg (pow n -1))) #s(hole binary64 (log (/ -1 n))))
#s(approx (+ (* -1 (log (/ -1 i))) (/ n i)) #s(hole binary64 (* -1 (* n (- (/ (log (/ -1 i)) n) (/ 1 i))))))
Outputs
(*.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 (neg.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (neg.f64 i))
(/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i)
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) i) (pow.f64 i #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n)) #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))
(*.f64 (log1p.f64 (/.f64 i n)) n)
(log1p.f64 (/.f64 i n))
(log.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)))
(/.f64 (neg.f64 i) (neg.f64 n))
(/.f64 i n)
i
n
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
(*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))))
(fma.f64 (*.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n)) n (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n))
(fma.f64 n (*.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n)) (*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))))
(+.f64 (*.f64 (*.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n)) n) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) n))
(+.f64 (*.f64 n (*.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))) (*.f64 n (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n)) (*.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))) (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))) (-.f64 (*.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n)) (*.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n)) (-.f64 (*.f64 (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))) (*.f64 (*.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))))))
(fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
(-.f64 (*.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n)) (*.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i)))
(+.f64 (*.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n)) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))
#s(literal -50 binary64)
(/.f64 (neg.f64 (*.f64 i (exp.f64 i))) (neg.f64 n))
(/.f64 (*.f64 i (exp.f64 i)) n)
(*.f64 i (exp.f64 i))
(exp.f64 i)
(+.f64 (cosh.f64 i) (sinh.f64 i))
(*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i))
(/.f64 (neg.f64 (expm1.f64 i)) (neg.f64 i))
(/.f64 (expm1.f64 i) i)
(-.f64 (/.f64 (exp.f64 i) i) (pow.f64 i #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (exp.f64 i) (exp.f64 i)) #s(literal 1 binary64)) (+.f64 (exp.f64 i) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (exp.f64 i) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (exp.f64 i) (exp.f64 i) (+.f64 #s(literal 1 binary64) (*.f64 (exp.f64 i) #s(literal 1 binary64)))))
(expm1.f64 i)
(-.f64 (exp.f64 i) #s(literal 1 binary64))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))))
(*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 100 binary64) n)) (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))) (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))))) (-.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 100 binary64) n) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 100 binary64) n) (-.f64 (*.f64 (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))) (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))) (*.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))))))
(fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))))
(-.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal -100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))))
(+.f64 (*.f64 #s(literal 100 binary64) n) (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))))
(*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))
(*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))
(*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal -1 binary64))))
#s(literal 1/2 binary64)
(*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64)))
(pow.f64 n #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 n))
(/.f64 #s(literal 1 binary64) n)
(exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))
#s(literal -1 binary64)
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i)))
#s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i))
(/.f64 (neg.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n))))) (neg.f64 i))
(/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i)
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#s(approx (* i (exp i)) i)
#s(approx (* i (exp i)) (*.f64 i (+.f64 #s(literal 1 binary64) i)))
#s(approx (* i (exp i)) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i))))))
#s(approx (* i (exp i)) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i))))))))
#s(approx (exp i) #s(literal 1 binary64))
#s(approx (exp i) (+.f64 #s(literal 1 binary64) i))
#s(approx (exp i) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))))
#s(approx (exp i) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))))
#s(approx (* 100 (/ (- (exp i) 1) i)) #s(literal 100 binary64))
#s(approx (* 100 (/ (- (exp i) 1) i)) (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))
#s(approx (* 100 (/ (- (exp i) 1) i)) (+.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 #s(literal 50/3 binary64) i)))))
#s(approx (* 100 (/ (- (exp i) 1) i)) (+.f64 #s(literal 100 binary64) (*.f64 i (+.f64 #s(literal 50 binary64) (*.f64 i (+.f64 #s(literal 50/3 binary64) (*.f64 #s(literal 25/6 binary64) i)))))))
#s(approx (/ (- (exp i) 1) i) #s(literal 1 binary64))
#s(approx (/ (- (exp i) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) i)))
#s(approx (/ (- (exp i) 1) i) (+.f64 #s(literal 1 binary64) (*.f64 i (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) i)))))
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#s(approx (- (exp i) 1) i)
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) n))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (+.f64 n (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))))
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
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#s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i))
#s(approx (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))) i))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) (*.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))))
#s(approx (- (exp (* n (log (/ i n)))) 1) (expm1.f64 (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))))
#s(approx (* n (log (/ i n))) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))
#s(approx (log (/ i n)) (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 #s(literal 100 binary64) i))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 100 binary64) (*.f64 i (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (*.f64 i (+.f64 #s(literal 100 binary64) (*.f64 i (*.f64 #s(literal 100 binary64) (fma.f64 i (-.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/3 binary64) (pow.f64 n #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))) (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))))))
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#s(approx (+ (log (neg (pow n -1))) (+ (* -1 (log (/ -1 i))) (/ n i))) (/.f64 n i))
#s(approx (+ (log (neg (pow n -1))) (+ (* -1 (log (/ -1 i))) (/ n i))) (/.f64 (+.f64 n (*.f64 i (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal -1 binary64)))))))) i))
#s(approx (+ (* -1 (log (/ -1 i))) (/ n i)) (/.f64 n i))
#s(approx (+ (* -1 (log (/ -1 i))) (/ n i)) (/.f64 (+.f64 n (neg.f64 (*.f64 i (log.f64 (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal -1 binary64))))))) i))
#s(approx (log (/ -1 i)) (log.f64 (*.f64 #s(literal -1 binary64) (pow.f64 i #s(literal -1 binary64)))))
#s(approx (/ -1 i) (/.f64 #s(literal -1 binary64) i))
#s(approx (/ n i) (/.f64 n i))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))))) i)))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 n (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) (/.f64 (*.f64 (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)))))) i))) i))
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))))) i))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/.f64 (fma.f64 n (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) (/.f64 (*.f64 (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)))))) i)) i))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (/.f64 (fma.f64 n (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))) (+.f64 (/.f64 (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))))) (*.f64 i i)) (/.f64 (*.f64 (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)))))) i))) i))
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#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (neg.f64 (log.f64 i)))))))
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#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 n (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64)))))) i)) i))) i)))
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#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/3 binary64) (pow.f64 n #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 n #s(literal 6 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 5 binary64)))))) i)) i) (*.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i))) i)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))))
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#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (/.f64 (*.f64 (pow.f64 (exp.f64 n) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))) (fma.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal 3 binary64)) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))))) i))) i))) #s(literal 1 binary64)))
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#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))
#s(approx (* (log (+ 1 (/ i n))) n) (fma.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) (/.f64 (*.f64 n n) i)))
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#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 n i))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) n (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 n n) i))) i)))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 n (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n n) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 n #s(literal 3 binary64)) i))) i))) i)))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))) i)))
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#s(approx (- (exp (* n (log (/ i n)))) 1) (expm1.f64 (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))))
#s(approx (* n (log (/ i n))) (*.f64 n (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))))
#s(approx (log (/ i n)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))
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#s(approx (+ (log (neg (pow n -1))) (+ (* -1 (log (/ -1 i))) (/ n i))) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))))
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#s(approx (+ (* -1 (log (/ -1 i))) (/ n i)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i))))
#s(approx (+ (* -1 (log (/ -1 i))) (/ n i)) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 n i)))
#s(approx (log (/ -1 i)) (log.f64 (/.f64 #s(literal -1 binary64) i)))
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#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i)))))
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#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (pow.f64 i #s(literal -1 binary64))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (fma.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) (/.f64 (log.f64 i) i))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 i #s(literal -1 binary64)))))))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (*.f64 n (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (fma.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (*.f64 i i)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -3 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -2 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i)))))) (/.f64 (log.f64 i) i)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 i #s(literal -1 binary64)))))))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (/.f64 n i)))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 n (*.f64 i i)) (pow.f64 i #s(literal -1 binary64))))))))
#s(approx (* (log (+ 1 (/ i n))) n) (*.f64 n (+.f64 (log.f64 i) (+.f64 (neg.f64 (log.f64 n)) (*.f64 n (fma.f64 n (fma.f64 #s(literal 1/3 binary64) (/.f64 n (pow.f64 i #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 i #s(literal -1 binary64))))))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (/.f64 n i))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 n (*.f64 i i)) (pow.f64 i #s(literal -1 binary64)))))))
#s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 i) (+.f64 (neg.f64 (log.f64 n)) (*.f64 n (fma.f64 n (fma.f64 #s(literal 1/3 binary64) (/.f64 n (pow.f64 i #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 i #s(literal -2 binary64)))) (pow.f64 i #s(literal -1 binary64)))))))
#s(approx n n)
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i)))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64)))))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (fma.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 i i))))))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))))))))))
#s(approx (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))))
#s(approx (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i))) (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 n (expm1.f64 i)) i))) n))
#s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1))))))) (*.f64 #s(literal -50 binary64) i))
#s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1))))))) (fma.f64 #s(literal -50 binary64) i (*.f64 n (+.f64 #s(literal 100 binary64) (*.f64 #s(literal 50 binary64) i)))))
#s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1)))))) (*.f64 #s(literal -50 binary64) i))
#s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1)))))) (fma.f64 #s(literal -50 binary64) i (*.f64 #s(literal 50 binary64) (*.f64 i n))))
#s(approx (* i (* n (- 1/2 (* 1/2 (pow n -1))))) (*.f64 #s(literal -1/2 binary64) i))
#s(approx (* i (* n (- 1/2 (* 1/2 (pow n -1))))) (fma.f64 #s(literal -1/2 binary64) i (*.f64 #s(literal 1/2 binary64) (*.f64 i n))))
#s(approx (* n (- 1/2 (* 1/2 (pow n -1)))) #s(literal -1/2 binary64))
#s(approx (* n (- 1/2 (* 1/2 (pow n -1)))) (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))
#s(approx (- 1/2 (* 1/2 (pow n -1))) (/.f64 #s(literal -1/2 binary64) n))
#s(approx (- 1/2 (* 1/2 (pow n -1))) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n))
#s(approx (* 1/2 (pow n -1)) (/.f64 #s(literal 1/2 binary64) n))
#s(approx (pow n -1) (pow.f64 n #s(literal -1 binary64)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 #s(literal 100 binary64) (/.f64 (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64)))))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 n n) (fma.f64 #s(literal 100 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) i) (*.f64 n (fma.f64 #s(literal 100 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (*.f64 n (*.f64 #s(literal 100 binary64) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 i i))))))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64))))))))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (/.f64 (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (pow.f64 i #s(literal -2 binary64))) (/.f64 (log.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (fma.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (/.f64 (log.f64 i) (*.f64 i i)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64)))) (pow.f64 i #s(literal -2 binary64)))) (/.f64 (log.f64 i) i)))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (fma.f64 n (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) (*.f64 i i)) (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i) (fma.f64 n (fma.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64)) i) (fma.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal -4 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (pow.f64 i #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 i i))))))) (/.f64 (log.f64 i) (*.f64 i i))))) (*.f64 #s(literal 1/2 binary64) (pow.f64 i #s(literal -3 binary64)))) (pow.f64 i #s(literal -2 binary64)))) (/.f64 (log.f64 i) i)))))
#s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 (*.f64 n n) (log.f64 (/.f64 i n))) i))
#s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (*.f64 (*.f64 n n) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 n (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64))) i) (/.f64 (log.f64 i) i)) (/.f64 (log.f64 n) i))))
#s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (*.f64 (*.f64 n n) (-.f64 (fma.f64 n (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 n (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64))) i) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i))) (/.f64 (log.f64 i) i)) (/.f64 (log.f64 n) i))))
#s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (*.f64 (*.f64 n n) (-.f64 (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i) (*.f64 n (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 n (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64))) i) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i))))) (/.f64 (log.f64 i) i)) (/.f64 (log.f64 n) i))))
#s(approx (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) (/.f64 (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))) i))
#s(approx (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 n (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64))) i) (/.f64 (log.f64 i) i)))))
#s(approx (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 n (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64))) i) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i))) (/.f64 (log.f64 i) i)))))
#s(approx (/ (* n (- (exp (* n (log (/ i n)))) 1)) i) (*.f64 (*.f64 n n) (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 n) i) (fma.f64 n (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) i) (*.f64 n (fma.f64 #s(literal 1/24 binary64) (/.f64 (*.f64 n (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64))) i) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)) i))))) (/.f64 (log.f64 i) i)))))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 #s(literal 1/2 binary64) (*.f64 n (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64))))))))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 n (fma.f64 #s(literal 1/6 binary64) (*.f64 n (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)))))))))
#s(approx (* n (- (exp (* n (log (/ i n)))) 1)) (*.f64 (*.f64 n n) (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 n (fma.f64 #s(literal 1/24 binary64) (*.f64 n (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)))))))))))
#s(approx (- (exp (* n (log (/ i n)))) 1) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))
#s(approx (- (exp (* n (log (/ i n)))) 1) (*.f64 n (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 #s(literal 1/2 binary64) (*.f64 n (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64))))))))
#s(approx (- (exp (* n (log (/ i n)))) 1) (*.f64 n (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 n (fma.f64 #s(literal 1/6 binary64) (*.f64 n (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)))))))))
#s(approx (- (exp (* n (log (/ i n)))) 1) (*.f64 n (+.f64 (log.f64 i) (fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 n (fma.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 2 binary64)) (*.f64 n (fma.f64 #s(literal 1/24 binary64) (*.f64 n (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (+.f64 (log.f64 i) (neg.f64 (log.f64 n))) #s(literal 3 binary64)))))))))))
#s(approx (* n (log (/ i n))) (*.f64 n (+.f64 (log.f64 i) (neg.f64 (log.f64 n)))))
#s(approx (log (/ i n)) (+.f64 (log.f64 i) (neg.f64 (log.f64 n))))
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#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (+.f64 (expm1.f64 i) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 n n))))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 (*.f64 i i) (exp.f64 i)) n) (fma.f64 #s(literal 100 binary64) (expm1.f64 i) (*.f64 #s(literal 100 binary64) (+.f64 (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal -1/4 binary64) (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal -1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal -1/48 binary64) (pow.f64 i #s(literal 6 binary64)))))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) (*.f64 n n)))))))
#s(approx (+ (log (neg (pow n -1))) (+ (* -1 (log (/ -1 i))) (/ n i))) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) n) (+.f64 (pow.f64 i #s(literal -1 binary64)) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 n))) n)))))
#s(approx (log (neg (pow n -1))) (+.f64 (log.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 n))))
#s(approx (+ (* -1 (log (/ -1 i))) (/ n i)) (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) n) (pow.f64 i #s(literal -1 binary64)))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n)))) n))))))
#s(approx (* 100 (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n)) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n)))) n))) n))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n))) n) (neg.f64 (/.f64 (expm1.f64 i) i))))))
#s(approx (* (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) n) (neg.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n))) n) (*.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)))) n) (neg.f64 (/.f64 (expm1.f64 i) i))))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n)) (*.f64 #s(literal 1/2 binary64) (*.f64 i (exp.f64 i)))) n) (/.f64 (exp.f64 i) i)) (pow.f64 i #s(literal -1 binary64))))
#s(approx (/ (- (exp (* (log (+ 1 (/ i n))) n)) 1) i) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n)) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i)) n) (*.f64 #s(literal 1/2 binary64) (*.f64 i (exp.f64 i)))) n) (/.f64 (exp.f64 i) i)) (pow.f64 i #s(literal -1 binary64))))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)))) n))) #s(literal 1 binary64)))
#s(approx (- (exp (* (log (+ 1 (/ i n))) n)) 1) (-.f64 (+.f64 (exp.f64 i) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) n) (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 i i) (exp.f64 i)))) n))) #s(literal 1 binary64)))
#s(approx (* (log (+ 1 (/ i n))) n) (+.f64 i (neg.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) n) (*.f64 #s(literal 1/2 binary64) (*.f64 i i))) n))))
#s(approx (* (log (+ 1 (/ i n))) n) (+.f64 i (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) n) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n) (*.f64 #s(literal 1/2 binary64) (*.f64 i i))) n))))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) i (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i i) n))) n)))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 i (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 i i) (*.f64 #s(literal 1/3 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) n))) n))) n)))
#s(approx (log (+ 1 (/ i n))) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 i (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 i #s(literal 3 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 i #s(literal 4 binary64)) n))) n) (*.f64 #s(literal -1/2 binary64) (*.f64 i i))) n))) n)))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n)))) n))))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n)))) n))) n))))))
#s(approx (* n (+ (* -50 (/ (* i (exp i)) n)) (* 100 (/ (- (exp i) 1) i)))) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))))
#s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1))))))) (neg.f64 (*.f64 n (-.f64 (*.f64 #s(literal -50 binary64) i) #s(literal 100 binary64)))))
#s(approx (+ (* 100 n) (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1))))))) (neg.f64 (*.f64 n (-.f64 (fma.f64 #s(literal -50 binary64) i (*.f64 #s(literal 50 binary64) (/.f64 i n))) #s(literal 100 binary64)))))
#s(approx (* 100 (* i (* n (- 1/2 (* 1/2 (pow n -1)))))) (neg.f64 (*.f64 n (fma.f64 #s(literal -50 binary64) i (*.f64 #s(literal 50 binary64) (/.f64 i n))))))
#s(approx (* i (* n (- 1/2 (* 1/2 (pow n -1))))) (neg.f64 (*.f64 n (fma.f64 #s(literal -1/2 binary64) i (*.f64 #s(literal 1/2 binary64) (/.f64 i n))))))
#s(approx (* n (- 1/2 (* 1/2 (pow n -1)))) (neg.f64 (*.f64 n (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64)))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n)))) n))))))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (*.f64 n (fma.f64 #s(literal -100 binary64) (/.f64 (expm1.f64 i) i) (neg.f64 (/.f64 (fma.f64 #s(literal -50 binary64) (*.f64 i (exp.f64 i)) (neg.f64 (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n)))) n))) n))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (expm1.f64 i) i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 i (exp.f64 i)) n))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64)))) n))) n) (neg.f64 (/.f64 (expm1.f64 i) i))))))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (neg.f64 (*.f64 n (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) i) (*.f64 (/.f64 (exp.f64 i) i) (/.f64 (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64))))) n))) n) (*.f64 #s(literal -1/2 binary64) (*.f64 i (exp.f64 i)))) n) (neg.f64 (/.f64 (expm1.f64 i) i))))))
#s(approx (* n (log (/ i n))) (*.f64 n (log.f64 (*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) n)))))
#s(approx (log (/ i n)) (log.f64 (*.f64 (neg.f64 i) (/.f64 #s(literal -1 binary64) n))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))) n) (*.f64 #s(literal 50 binary64) (*.f64 (*.f64 i i) (exp.f64 i)))) n) (*.f64 #s(literal 100 binary64) (expm1.f64 i))))
#s(approx (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -100 binary64) (/.f64 (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/48 binary64) (pow.f64 i #s(literal 6 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 i #s(literal 5 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 i #s(literal 4 binary64)))))) n) (*.f64 #s(literal 100 binary64) (*.f64 (exp.f64 i) (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 #s(literal 1/3 binary64) (pow.f64 i #s(literal 3 binary64))))))) n) (*.f64 #s(literal 50 binary64) (*.f64 (*.f64 i i) (exp.f64 i)))) n) (*.f64 #s(literal 100 binary64) (expm1.f64 i))))
#s(approx (+ (log (neg (pow n -1))) (+ (* -1 (log (/ -1 i))) (/ n i))) (neg.f64 (*.f64 n (-.f64 (neg.f64 (/.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) (neg.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)))) n)) (pow.f64 i #s(literal -1 binary64))))))
#s(approx (log (neg (pow n -1))) (log.f64 (/.f64 #s(literal -1 binary64) n)))
#s(approx (+ (* -1 (log (/ -1 i))) (/ n i)) (neg.f64 (*.f64 n (-.f64 (/.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) n) (pow.f64 i #s(literal -1 binary64))))))

eval68.0ms (0.8%)

Memory
-31.4MiB live, 113.4MiB allocated; 8ms collecting garbage
Compiler

Compiled 26 012 to 2 946 computations (88.7% saved)

prune717.0ms (8%)

Memory
13.2MiB live, 962.2MiB allocated; 58ms collecting garbage
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New5491550
Fresh101
Picked055
Done134
Total5519560
Accuracy
100.0%
Counts
560 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.2%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
25.0%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 n i)))) n))) (/.f64 i n))
77.1%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
10.2%
(*.f64 #s(literal 100 binary64) #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))))
27.0%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i))))
34.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i))))
53.2%
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))))
71.0%
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
17.6%
#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 292 to 187 computations (36% saved)

series280.0ms (3.1%)

Memory
6.1MiB live, 429.1MiB allocated; 43ms collecting garbage
Counts
12 → 96
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i))))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i)))
#s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i))
(/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i)
(*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n))))
n
(expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))
(log.f64 (pow.f64 (/.f64 i n) n))
(pow.f64 (/.f64 i n) n)
(/.f64 i n)
i
Outputs
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#s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) #s(hole binary64 (/ (* n (- (exp (* n (- (* -1 (log (/ 1 i))) (log n)))) 1)) i)))
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#s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) #s(hole binary64 (/ (* n (- (exp (* n (- (+ (log -1) (* -1 (log (/ -1 i)))) (log n)))) 1)) i)))
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#s(approx (* n (- (exp (log (pow (/ i n) n))) 1)) #s(hole binary64 (* (pow n 2) (+ (log i) (* -1 (log n))))))
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#s(approx n #s(hole binary64 n))
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#s(approx (pow (/ i n) n) #s(hole binary64 1))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) #s(hole binary64 (* 100 (/ (* n (- (exp i) 1)) i))))
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#s(approx (- (exp (log (pow (/ i n) n))) 1) #s(hole binary64 (- (pow (/ i n) n) 1)))
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#s(approx (pow (/ i n) n) #s(hole binary64 (pow (/ i 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)))))))
Calls

6 calls:

TimeVariablePointExpression
149.0ms
i
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) (* n (- (exp (log (pow (/ i n) n))) 1)) n (- (exp (log (pow (/ i n) n))) 1) (log (pow (/ i n) n)) (pow (/ i n) n) (/ i n) i)
49.0ms
i
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) (* n (- (exp (log (pow (/ i n) n))) 1)) n (- (exp (log (pow (/ i n) n))) 1) (log (pow (/ i n) n)) (pow (/ i n) n) (/ i n) i)
38.0ms
i
@0
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) (* n (- (exp (log (pow (/ i n) n))) 1)) n (- (exp (log (pow (/ i n) n))) 1) (log (pow (/ i n) n)) (pow (/ i n) n) (/ i n) i)
18.0ms
n
@inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) (* n (- (exp (log (pow (/ i n) n))) 1)) n (- (exp (log (pow (/ i n) n))) 1) (log (pow (/ i n) n)) (pow (/ i n) n) (/ i n) i)
17.0ms
n
@-inf
((* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) (* n (- (exp (log (pow (/ i n) n))) 1)) n (- (exp (log (pow (/ i n) n))) 1) (log (pow (/ i n) n)) (pow (/ i n) n) (/ i n) i)

rewrite175.0ms (1.9%)

Memory
45.9MiB live, 230.7MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06704886
06824435
142844137
088303838
Stop Event
iter limit
node limit
iter limit
Counts
108 → 151
Calls
Call 1
Inputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i))))
#s(literal 100 binary64)
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i)))
#s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i))
(/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i)
(*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n))))
n
(expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))
(log.f64 (pow.f64 (/.f64 i n) n))
(pow.f64 (/.f64 i n) n)
(/.f64 i n)
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 (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) #s(hole binary64 (/ (* n (- (exp (* n (- (log i) (log n)))) 1)) i)))
#s(approx (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) #s(hole binary64 (/ (* n (- (exp (* n (+ (log i) (log (/ 1 n))))) 1)) i)))
#s(approx (* n (- (exp (log (pow (/ i n) n))) 1)) #s(hole binary64 (* n (- (exp (* n (+ (log i) (log (/ 1 n))))) 1))))
#s(approx (- (exp (log (pow (/ i n) n))) 1) #s(hole binary64 (- (exp (* n (+ (log i) (log (/ 1 n))))) 1)))
#s(approx (log (pow (/ i n) n)) #s(hole binary64 (* n (+ (log i) (log (/ 1 n))))))
#s(approx (pow (/ i n) n) #s(hole binary64 (exp (* n (+ (log i) (log (/ 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 (- (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 (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) #s(hole binary64 (/ (* n (- (exp (* n (- (* -1 (log (/ 1 i))) (log n)))) 1)) i)))
#s(approx (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) #s(hole binary64 (/ (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)) i)))
#s(approx (* n (- (exp (log (pow (/ i n) n))) 1)) #s(hole binary64 (* n (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1))))
#s(approx (- (exp (log (pow (/ i n) n))) 1) #s(hole binary64 (- (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))) 1)))
#s(approx (log (pow (/ i n) n)) #s(hole binary64 (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i)))))))
#s(approx (pow (/ i n) n) #s(hole binary64 (exp (* n (+ (log (/ 1 n)) (* -1 (log (/ 1 i))))))))
#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 (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) #s(hole binary64 (/ (* n (- (exp (* n (- (+ (log -1) (* -1 (log (/ -1 i)))) (log n)))) 1)) i)))
#s(approx (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) #s(hole binary64 (/ (* n (- (exp (* n (+ (log (/ -1 n)) (* -1 (log (/ -1 i)))))) 1)) i)))
#s(approx (* n (- (exp (log (pow (/ i n) n))) 1)) #s(hole binary64 (* n (- (exp (* n (+ (log (/ -1 n)) (* -1 (log (/ -1 i)))))) 1))))
#s(approx (- (exp (log (pow (/ i n) n))) 1) #s(hole binary64 (- (exp (* n (+ (log (/ -1 n)) (* -1 (log (/ -1 i)))))) 1)))
#s(approx (log (pow (/ i n) n)) #s(hole binary64 (* n (+ (log (/ -1 n)) (* -1 (log (/ -1 i)))))))
#s(approx (pow (/ i n) n) #s(hole binary64 (exp (* n (+ (log (/ -1 n)) (* -1 (log (/ -1 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 (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) #s(hole binary64 (/ (* (pow n 2) (- (log i) (log n))) i)))
#s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) #s(hole binary64 (* (pow n 2) (- (+ (* 1/2 (/ (* n (pow (- (log i) (log n)) 2)) i)) (/ (log i) i)) (/ (log n) i)))))
#s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) #s(hole binary64 (* (pow n 2) (- (+ (* n (+ (* 1/6 (/ (* n (pow (- (log i) (log n)) 3)) i)) (* 1/2 (/ (pow (- (log i) (log n)) 2) i)))) (/ (log i) i)) (/ (log n) i)))))
#s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) #s(hole binary64 (* (pow n 2) (- (+ (* n (+ (* 1/2 (/ (pow (- (log i) (log n)) 2) i)) (* n (+ (* 1/24 (/ (* n (pow (- (log i) (log n)) 4)) i)) (* 1/6 (/ (pow (- (log i) (log n)) 3) i)))))) (/ (log i) i)) (/ (log n) i)))))
#s(approx (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) #s(hole binary64 (/ (* (pow n 2) (+ (log i) (* -1 (log n)))) i)))
#s(approx (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* 1/2 (/ (* n (pow (+ (log i) (* -1 (log n))) 2)) i)) (/ (log i) i))))))
#s(approx (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/6 (/ (* n (pow (+ (log i) (* -1 (log n))) 3)) i)) (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)))) (/ (log i) i))))))
#s(approx (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) #s(hole binary64 (* (pow n 2) (+ (* -1 (/ (log n) i)) (+ (* n (+ (* 1/2 (/ (pow (+ (log i) (* -1 (log n))) 2) i)) (* n (+ (* 1/24 (/ (* n (pow (+ (log i) (* -1 (log n))) 4)) i)) (* 1/6 (/ (pow (+ (log i) (* -1 (log n))) 3) i)))))) (/ (log i) i))))))
#s(approx (* n (- (exp (log (pow (/ i n) n))) 1)) #s(hole binary64 (* (pow n 2) (+ (log i) (* -1 (log n))))))
#s(approx (* n (- (exp (log (pow (/ i n) n))) 1)) #s(hole binary64 (* (pow n 2) (+ (log i) (+ (* -1 (log n)) (* 1/2 (* n (pow (+ (log i) (* -1 (log n))) 2))))))))
#s(approx (* n (- (exp (log (pow (/ i n) n))) 1)) #s(hole binary64 (* (pow n 2) (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/6 (* n (pow (+ (log i) (* -1 (log n))) 3))) (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)))))))))
#s(approx (* n (- (exp (log (pow (/ i n) n))) 1)) #s(hole binary64 (* (pow n 2) (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (* n (+ (* 1/24 (* n (pow (+ (log i) (* -1 (log n))) 4))) (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)))))))))))
#s(approx n #s(hole binary64 n))
#s(approx (- (exp (log (pow (/ i n) n))) 1) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
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#s(approx (- (exp (log (pow (/ i n) n))) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/6 (* n (pow (+ (log i) (* -1 (log n))) 3))) (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)))))))))
#s(approx (- (exp (log (pow (/ i n) n))) 1) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (pow (+ (log i) (* -1 (log n))) 2)) (* n (+ (* 1/24 (* n (pow (+ (log i) (* -1 (log n))) 4))) (* 1/6 (pow (+ (log i) (* -1 (log n))) 3)))))))))))
#s(approx (log (pow (/ i n) n)) #s(hole binary64 (* n (+ (log i) (* -1 (log n))))))
#s(approx (log (pow (/ i n) n)) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* 1/2 (* n (+ (* -1 (pow (+ (log i) (* -1 (log n))) 2)) (pow (+ (log i) (* -1 (log n))) 2)))))))))
#s(approx (log (pow (/ i n) n)) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/6 (* n (+ (* -3 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* 2 (pow (+ (log i) (* -1 (log n))) 3)) (pow (+ (log i) (* -1 (log n))) 3))))) (* 1/2 (+ (* -1 (pow (+ (log i) (* -1 (log n))) 2)) (pow (+ (log i) (* -1 (log n))) 2))))))))))
#s(approx (log (pow (/ i n) n)) #s(hole binary64 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/2 (+ (* -1 (pow (+ (log i) (* -1 (log n))) 2)) (pow (+ (log i) (* -1 (log n))) 2))) (* n (+ (* 1/24 (* n (+ (* -6 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* -4 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* -3 (pow (+ (log i) (* -1 (log n))) 4)) (+ (* 12 (pow (+ (log i) (* -1 (log n))) 4)) (pow (+ (log i) (* -1 (log n))) 4))))))) (* 1/6 (+ (* -3 (pow (+ (log i) (* -1 (log n))) 3)) (+ (* 2 (pow (+ (log i) (* -1 (log n))) 3)) (pow (+ (log i) (* -1 (log n))) 3)))))))))))))
#s(approx (pow (/ i n) n) #s(hole binary64 1))
#s(approx (pow (/ i n) n) #s(hole binary64 (+ 1 (* n (+ (log i) (* -1 (log n)))))))
#s(approx (pow (/ i n) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* 1/2 (* n (pow (+ (log i) (* -1 (log n))) 2)))))))))
#s(approx (pow (/ i n) n) #s(hole binary64 (+ 1 (* n (+ (log i) (+ (* -1 (log n)) (* n (+ (* 1/6 (* n (pow (+ (log i) (* -1 (log n))) 3))) (* 1/2 (pow (+ (log i) (* -1 (log 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 (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) #s(hole binary64 (/ (* n (- (pow (/ i n) n) 1)) i)))
#s(approx (* n (- (exp (log (pow (/ i n) n))) 1)) #s(hole binary64 (* n (- (pow (/ i n) n) 1))))
#s(approx (- (exp (log (pow (/ i n) n))) 1) #s(hole binary64 (- (pow (/ i n) n) 1)))
#s(approx (log (pow (/ i n) n)) #s(hole binary64 (* n (log (/ i n)))))
#s(approx (pow (/ i n) n) #s(hole binary64 (pow (/ i 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)))))))
Outputs
(*.f64 #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 i n) n) #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 (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 i n) n) #s(literal 1 binary64)) i) n))))
#s(literal 100 binary64)
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#s(approx (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 i n) n) #s(literal 1 binary64)) i) n))
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(*.f64 n (-.f64 (pow.f64 (/.f64 i n) n) #s(literal 1 binary64)))
n
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(*.f64 (log.f64 (/.f64 i n)) (log.f64 (exp.f64 n)))
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(*.f64 n (log.f64 (/.f64 i n)))
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(*.f64 (exp.f64 (*.f64 (log.f64 i) n)) (exp.f64 (*.f64 (neg.f64 (log.f64 n)) n)))
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(pow.f64 (exp.f64 n) (log.f64 (/.f64 i n)))
(pow.f64 (*.f64 i (pow.f64 n #s(literal -1 binary64))) n)
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(/.f64 (pow.f64 (exp.f64 n) (log.f64 i)) (pow.f64 (exp.f64 n) (log.f64 n)))
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(exp.f64 (*.f64 (log.f64 (exp.f64 n)) (log.f64 (/.f64 i n))))
(exp.f64 (log.f64 (pow.f64 (/.f64 i n) n)))
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(/.f64 (neg.f64 i) (neg.f64 n))
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(exp.f64 (log.f64 (/.f64 i n)))
(+.f64 (cosh.f64 (log.f64 (/.f64 i n))) (sinh.f64 (log.f64 (/.f64 i n))))
i
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#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) n)
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#s(approx (pow (/ i n) n) (pow.f64 (/.f64 i n) n))
#s(approx (/ i n) (/.f64 i n))
#s(approx i i)
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 i n) n) #s(literal 1 binary64)) n) #s(literal 100 binary64)) i))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (/.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (-.f64 (pow.f64 (/.f64 i n) n) #s(literal 1 binary64)) n (*.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (pow.f64 (/.f64 i n) n) i)))) i))
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#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 n (/.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) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (pow.f64 n #s(literal 3 binary64))))) i))) i)))
#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 (*.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)))) (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)) #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 n (/.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) (*.f64 (pow.f64 (exp.f64 n) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) i)) #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) n)))) (pow.f64 n #s(literal 3 binary64)))) i))) i)))
#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 (*.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)))) (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) (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 (- (exp (log (pow (/ i n) n))) 1)) i) (*.f64 n (/.f64 (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 (- (exp (log (pow (/ i n) n))) 1)) i) (*.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 (* n (- (exp (log (pow (/ i n) n))) 1)) (*.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))
#s(approx (- (exp (log (pow (/ 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 (log (pow (/ 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 (pow (/ 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 (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i 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 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 (/.f64 i 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 (log.f64 (/.f64 i n)) #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 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))))) n (*.f64 (/.f64 (log.f64 (/.f64 i 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 (log.f64 (/.f64 i n)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i 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 (log.f64 (/.f64 i 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 (log.f64 (/.f64 i n)) #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 (log.f64 (/.f64 i 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 (log.f64 (/.f64 i n)) i) #s(literal 100 binary64))) (*.f64 n n)))
#s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) (*.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i 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 (log.f64 (/.f64 i 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 (log.f64 (/.f64 i 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 (log.f64 (/.f64 i n)) #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 (log.f64 (/.f64 i 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 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64) (fma.f64 (fma.f64 (/.f64 (log.f64 (/.f64 i n)) (pow.f64 i #s(literal 3 binary64))) #s(literal -1/2 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i 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 (log.f64 (/.f64 i n)) #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 (- (exp (log (pow (/ i n) n))) 1)) i) (*.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i)))
#s(approx (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) (*.f64 (fma.f64 (*.f64 n (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i)) #s(literal 1/2 binary64) (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (*.f64 n n)))
#s(approx (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) (*.f64 (fma.f64 (fma.f64 (*.f64 n (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i)) #s(literal 1/6 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64))) n (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (*.f64 n n)))
#s(approx (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 n (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)) i)) #s(literal 1/24 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64))) n (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64))) n (-.f64 (/.f64 (log.f64 i) i) (/.f64 (log.f64 n) i))) (*.f64 n n)))
#s(approx (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) (*.f64 (*.f64 n n) (/.f64 (log.f64 (/.f64 i n)) i)))
#s(approx (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (*.f64 n (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i)) #s(literal 1/2 binary64) (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (*.f64 n (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i)) #s(literal 1/6 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) (*.f64 (fma.f64 (/.f64 (log.f64 n) i) #s(literal -1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 n (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)) i)) #s(literal 1/24 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) i) #s(literal 1/6 binary64))) n (*.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64))) n (/.f64 (log.f64 i) i))) (*.f64 n n)))
#s(approx (* n (- (exp (log (pow (/ i n) n))) 1)) (*.f64 (log.f64 (/.f64 i n)) (*.f64 n n)))
#s(approx (* n (- (exp (log (pow (/ i n) n))) 1)) (*.f64 (+.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 #s(literal 1/2 binary64) n) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)))) (*.f64 n n)))
#s(approx (* n (- (exp (log (pow (/ i n) n))) 1)) (*.f64 (+.f64 (log.f64 (/.f64 i n)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/2 binary64))) n)) (*.f64 n n)))
#s(approx (* n (- (exp (log (pow (/ i n) n))) 1)) (*.f64 (+.f64 (log.f64 (/.f64 i n)) (*.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)) (*.f64 n n)))
#s(approx n n)
#s(approx (- (exp (log (pow (/ i n) n))) 1) (log.f64 (pow.f64 (/.f64 i n) n)))
#s(approx (- (exp (log (pow (/ i n) n))) 1) (*.f64 (+.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 #s(literal 1/2 binary64) n) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)))) n))
#s(approx (- (exp (log (pow (/ i n) n))) 1) (*.f64 (+.f64 (log.f64 (/.f64 i n)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/2 binary64))) n)) n))
#s(approx (- (exp (log (pow (/ i n) n))) 1) (*.f64 (+.f64 (log.f64 (/.f64 i n)) (*.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)) n))
#s(approx (log (pow (/ i n) n)) (log.f64 (pow.f64 (/.f64 i n) n)))
#s(approx (log (pow (/ i n) n)) (*.f64 (+.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 #s(literal 1/2 binary64) n) (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64))))) n))
#s(approx (log (pow (/ i n) n)) (*.f64 (+.f64 (log.f64 (/.f64 i n)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) n) (fma.f64 #s(literal -3 binary64) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
#s(approx (log (pow (/ i n) n)) (*.f64 (+.f64 (log.f64 (/.f64 i n)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) n) (fma.f64 #s(literal -6 binary64) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)) (fma.f64 #s(literal -4 binary64) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)) (fma.f64 #s(literal 13 binary64) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 4 binary64)))))) (*.f64 (fma.f64 #s(literal -3 binary64) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 3 binary64)))) #s(literal 1/6 binary64))) n (*.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n))
#s(approx (pow (/ i n) n) #s(literal 1 binary64))
#s(approx (pow (/ i n) n) (fma.f64 (log.f64 (/.f64 i n)) n #s(literal 1 binary64)))
#s(approx (pow (/ i n) n) (fma.f64 (+.f64 (log.f64 (/.f64 i n)) (*.f64 (*.f64 #s(literal 1/2 binary64) n) (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)))) n #s(literal 1 binary64)))
#s(approx (pow (/ i n) n) (fma.f64 (+.f64 (log.f64 (/.f64 i n)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 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 1/2 binary64))) n)) n #s(literal 1 binary64)))
#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 -1/4 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)))) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 i #s(literal 4 binary64)) (*.f64 (pow.f64 i #s(literal 3 binary64)) #s(literal 1/3 binary64))) (exp.f64 i)) (*.f64 (*.f64 n n) i))) (/.f64 (exp.f64 i) i)) (pow.f64 i #s(literal -1 binary64)))) n))
#s(approx (/ (* n (- (exp (log (pow (/ i n) n))) 1)) i) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 i n) n) #s(literal 1 binary64)) i) n))
#s(approx (* n (- (exp (log (pow (/ i n) n))) 1)) (*.f64 (-.f64 (pow.f64 (/.f64 i n) n) #s(literal 1 binary64)) n))
#s(approx (- (exp (log (pow (/ i n) n))) 1) (-.f64 (pow.f64 (/.f64 i n) n) #s(literal 1 binary64)))
#s(approx (log (pow (/ i n) n)) (log.f64 (pow.f64 (/.f64 i n) n)))
#s(approx (pow (/ i n) n) (pow.f64 (/.f64 i n) n))
#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)))

eval23.0ms (0.3%)

Memory
-14.3MiB live, 38.9MiB allocated; 3ms collecting garbage
Compiler

Compiled 7 515 to 1 079 computations (85.6% saved)

prune74.0ms (0.8%)

Memory
-19.5MiB live, 122.3MiB allocated; 4ms collecting garbage
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New1411142
Fresh000
Picked011
Done178
Total1429151
Accuracy
100.0%
Counts
151 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.2%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
25.0%
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 #s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 n i)))) n))) (/.f64 i n))
77.1%
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
10.2%
(*.f64 #s(literal 100 binary64) #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))))
34.7%
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i))))
53.2%
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))))
71.0%
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
17.9%
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 (/.f64 i n)) i))) (*.f64 n n)))
17.6%
#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 823 to 354 computations (57% saved)

regimes18.0ms (0.2%)

Memory
34.3MiB live, 34.3MiB allocated; 0ms collecting garbage
Counts
16 → 4
Calls
Call 1
Inputs
#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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 (/.f64 i n)) i))) (*.f64 n 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))
#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 (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i))))
(*.f64 #s(literal 100 binary64) #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))))
(*.f64 #s(literal 100 binary64) #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))))
(*.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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i 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 #s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 n i)))) n))) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n))
(/.f64 (*.f64 #s(literal 100 binary64) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64))) (/.f64 i n))
Outputs
(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
(/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.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)))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))))
Calls

4 calls:

5.0ms
n
5.0ms
i
4.0ms
(*.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)))
4.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
Results
AccuracySegmentsBranch
97.5%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
97.5%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
92.0%4i
90.1%3n
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes9.0ms (0.1%)

Memory
-33.6MiB live, 15.2MiB allocated; 2ms collecting garbage
Counts
14 → 4
Calls
Call 1
Inputs
#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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 (/.f64 i n)) i))) (*.f64 n 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))
#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 (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i))))
(*.f64 #s(literal 100 binary64) #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))))
(*.f64 #s(literal 100 binary64) #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))))
(*.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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i 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 #s(approx (log (+ 1 (/ i n))) (+.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) i)) (/.f64 n i)))) n))) (/.f64 i n))
Outputs
#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))))
(*.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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))))
Calls

2 calls:

5.0ms
(*.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
97.5%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
97.5%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes7.0ms (0.1%)

Memory
13.6MiB live, 13.7MiB allocated; 0ms collecting garbage
Counts
12 → 4
Calls
Call 1
Inputs
#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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 (/.f64 i n)) i))) (*.f64 n 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))
#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 (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i))))
(*.f64 #s(literal 100 binary64) #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))))
(*.f64 #s(literal 100 binary64) #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))))
(*.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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Outputs
#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))))
(*.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 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))))
Calls

2 calls:

3.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
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)))
Results
AccuracySegmentsBranch
96.1%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
96.1%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes7.0ms (0.1%)

Memory
13.0MiB live, 13.0MiB allocated; 0ms collecting garbage
Counts
11 → 4
Calls
Call 1
Inputs
#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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 (/.f64 i n)) i))) (*.f64 n 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))
#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 (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i))))
(*.f64 #s(literal 100 binary64) #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))))
(*.f64 #s(literal 100 binary64) #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))))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
Outputs
#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))))
(*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i))))
#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))))
Calls

2 calls:

3.0ms
(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
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)))
Results
AccuracySegmentsBranch
95.7%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
95.7%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes14.0ms (0.2%)

Memory
-22.7MiB live, 24.7MiB allocated; 1ms collecting garbage
Counts
10 → 3
Calls
Call 1
Inputs
#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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 (/.f64 i n)) i))) (*.f64 n 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))
#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 (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i))))
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (*.f64 n (log.f64 (/.f64 i n))))) i))))
(*.f64 #s(literal 100 binary64) #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))))
(*.f64 #s(literal 100 binary64) #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))))
Outputs
(*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i))))
#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 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i))))
Calls

4 calls:

3.0ms
i
3.0ms
n
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
78.6%4n
80.2%3i
78.9%4(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
78.9%4(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes3.0ms (0%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 (/.f64 i n)) i))) (*.f64 n 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))
#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 (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (*.f64 n (fma.f64 #s(literal -50 binary64) (/.f64 (*.f64 i (exp.f64 i)) n) (*.f64 #s(literal 100 binary64) (/.f64 (expm1.f64 i) i)))))
#s(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64)))))))))
Outputs
#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 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 (/.f64 i n)) i))) (*.f64 n n)))
Calls

1 calls:

2.0ms
i
Results
AccuracySegmentsBranch
76.5%2i
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 (/.f64 i n)) i))) (*.f64 n n)))
Outputs
#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)))
#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (*.f64 (*.f64 #s(literal 100 binary64) (fma.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (/.f64 i n)) #s(literal 2 binary64)) i) #s(literal 1/2 binary64) (pow.f64 i #s(literal -2 binary64))) n (/.f64 (log.f64 (/.f64 i n)) i))) (*.f64 n n)))
Calls

4 calls:

1.0ms
i
1.0ms
n
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
27.2%2n
21.9%2(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
21.9%2(*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n)))
27.8%2i
Compiler

Compiled 30 to 22 computations (26.7% saved)

regimes4.0ms (0%)

Memory
10.7MiB live, 10.7MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#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
#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)))
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
17.6%1(/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))
17.6%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)))
17.6%1n
17.6%1i
Compiler

Compiled 30 to 22 computations (26.7% 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
-0.0
1.8487133551837732e-271
0.0ms
-1.754607331940138e-11
-2.1089441833574566e-12
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
-0.0
1.8487133551837732e-271
0.0ms
-inf
-1895761422.8723605
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
-0.0
1.8487133551837732e-271
0.0ms
-inf
-1895761422.8723605
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
528.0314880963746
+inf
0.0ms
-0.0
1.8487133551837732e-271
0.0ms
-inf
-1895761422.8723605
Compiler

Compiled 18 to 15 computations (16.7% saved)

bsearch79.0ms (0.9%)

Memory
-35.2MiB live, 107.7MiB allocated; 16ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
45.0ms
0.6554419134198746
859.9081092861461
19.0ms
-3.107670034709847e+231
-2.478659571380338e+229
Samples
40.0ms134×1valid
9.0ms106×0valid
3.0ms52×0invalid
Compiler

Compiled 1 128 to 750 computations (33.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-pow: 23.0ms (53.1% of total)
ival-div: 6.0ms (13.8% of total)
adjust: 5.0ms (11.5% of total)
ival-sub: 4.0ms (9.2% of total)
ival-add: 2.0ms (4.6% of total)
ival-mult: 2.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch47.0ms (0.5%)

Memory
29.9MiB live, 74.8MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
44.0ms
4.112497538432591e+20
2.7398652881259896e+27
Samples
27.0ms118×1valid
8.0ms26×0valid
2.0ms25×0invalid
Compiler

Compiled 693 to 456 computations (34.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-pow: 13.0ms (50.8% of total)
adjust: 4.0ms (15.6% of total)
ival-div: 4.0ms (15.6% of total)
ival-mult: 2.0ms (7.8% of total)
ival-add: 1.0ms (3.9% of total)
ival-sub: 1.0ms (3.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch51.0ms (0.6%)

Memory
-18.2MiB live, 74.2MiB allocated; 11ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
48.0ms
-8.534656562852345e+37
-4.0486008249483237e+34
Samples
38.0ms116×1valid
2.0ms32×0invalid
1.0ms12×0valid
Compiler

Compiled 802 to 479 computations (40.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-pow: 19.0ms (53.2% of total)
adjust: 8.0ms (22.4% of total)
ival-div: 4.0ms (11.2% of total)
ival-add: 1.0ms (2.8% of total)
ival-sub: 1.0ms (2.8% of total)
ival-mult: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify59.0ms (0.7%)

Memory
-22.0MiB live, 80.2MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01581045
12161045
23071039
35271039
416981039
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal -6189700196426901/618970019642690137449562112 binary64)) (*.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))) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 0 binary64)) (/.f64 (*.f64 #s(literal 100 binary64) (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n))) (/.f64 i n)) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal +inf.0 binary64)) (*.f64 #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(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))))))))
(if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal -inf.0 binary64)) #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)))) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 0 binary64)) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) (/.f64 i n)) #s(literal 100 binary64)) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal +inf.0 binary64)) (*.f64 #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(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))))))))
(if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal -inf.0 binary64)) #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)))) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 0 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal +inf.0 binary64)) (*.f64 #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(approx (/ (* 100 (- (exp (* (log (+ 1 (/ i n))) n)) 1)) (/ i n)) (fma.f64 #s(literal 100 binary64) n (*.f64 #s(literal 100 binary64) (*.f64 i (*.f64 n (-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))))))))))))
(if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal -inf.0 binary64)) #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)))) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 0 binary64)) (*.f64 #s(literal 100 binary64) (*.f64 (/.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 i n)) n)) i) n)) (if (<=.f64 (*.f64 #s(literal 100 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 i n)) n) #s(literal 1 binary64)) (/.f64 i n))) #s(literal 1000 binary64)) (*.f64 #s(literal 100 binary64) #s(approx (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n)) #s(approx (* n (/ (- (exp (* (- (log i) (log n)) n)) 1) i)) (/.f64 (*.f64 n (expm1.f64 (log.f64 (pow.f64 (/.f64 i n) n)))) i)))) #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)))))))
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#s(approx (* 100 (/ (- (pow (+ 1 (/ i n)) n) 1) (/ i n))) (neg.f64 (/.f64 (*.f64 #s(literal -100 binary64) (fma.f64 (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
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derivations290.0ms (3.2%)

Memory
12.4MiB live, 249.4MiB allocated; 9ms collecting garbage
Stop Event
fuel
Compiler

Compiled 1 045 to 155 computations (85.2% saved)

preprocess64.0ms (0.7%)

Memory
22.2MiB live, 118.9MiB allocated; 9ms collecting garbage
Compiler

Compiled 2 120 to 330 computations (84.4% saved)

end0.0ms (0%)

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

Profiling

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